The equation of the line is y = 4x - 14
The slope of the line m = 4
The slope of the line is the change in y coordinates with respect to the change in x coordinates of the function
The slope intercept form is
y = mx + b
Where m is the slope of the line
b is the y intercept
The point slope form is
[tex]y-y_1=m(x-x_1)[/tex]
The point is (3, -2)
Substitute the values in the point slope form
y - (-2) = 4(x-3)
y + 2 = 4x - 12
Rearrange the equation and make slope intercept form
y = 4x - 12 -2
y = 4x - 14
Hence, the equation of the line is y = 4x - 14
The complete question is
Write the equation of the line when m = 4 and the passing through the point (3, -2)
Learn more about point slope form here
brainly.com/question/24436844
#SPJ1
Passes through the x-intercept of 2x - 3y = 6 and parallel to x + 4y = -3
The equation of the line passes through the x intercept of 2x - 3y = 6 and parallel to x + 4y = -3 is y = (-1/4)x + 3/4 .
In the question ,
it is given that ,
the required line is parallel to x + 4y = -3 ,
x + 4y = -3
4y = -x -3
dividing both sides by 4 , we get
y = (-1/4)x -3/4
the slope is -1/4 .
the required line passes through the x intercept of 2x - 3y = 6 .
for x intercept , put y=0 ,
we get
2x -3(0) = 6
2x = 6
x = 6/2
x = 3
the point is (3,0) .
The equation of the line passing through the point (3,0) and the slope -1/4 is
(y-0) = (-1/4)(x-3)
y = -1/4(x - 3)
y = (-1/4)x + 3/4
Therefore , the equation of the line passes through the x intercept of 2x - 3y = 6 and parallel to x + 4y = -3 is y = (-1/4)x + 3/4 .
The given question is incomplete , the complete question is
What is the equation of the line passes through the x intercept of 2x - 3y = 6 and parallel to x + 4y = -3 ?
Learn more about Equations here
https://brainly.com/question/28822230
#SPJ1
The price of gas at the pump recently rose from $2.95 to $3.04 in one week. This represents what percent increase?
Answer:
Step-by-step explanation:
(3.00 - 2.40)/2.40 = p/100;
Then. 0.60/2.40 = p/100;
1/40 = p/100;
p = 100/40;
p = 2.5;
The percentage increase was 2.5%;
Find the value of the discriminant, the number and types of solution(s). 2x2−6x−15=−7
The equation has 2 irrational roots and two real distinct solutions.
What is a real distinct solution?It is a solution to an equation that occurs only once and differs in value from other solutions. If the discriminant is zero, there are no real solutions. The discriminant equation is Δ = b² - 4ac. If the discriminant is greater than zero it has two irrational roots. Another alternative for a distinct solution is the coincident solution. The values of the discriminant show how many roots and solutions the equation may contain.
Given, 2x² - 6x - 15 = - 7
The discriminant of the equation is D = b² - 4ac
Here, a = 2, b = - 6, c = - 15
D= 36 - 4(2)(-15)
36 + 120 = 156
Here, D > 0 and it is not a perfect square.
So, the equation has 2 irrational roots.
And the equation has two real distinct solutions.
To know more about distinct real solutions, visit:
https://brainly.com/question/20651207
#SPJ1
- 1/3 x = 3/4
solve for x
1. 1/4
2. - 1/4
3. 2 1/4
4. -2 1/4
so if you want money and I give you 6dollers and remaining 4$it is 1. 1/4
Mark and Dennis help their grandfather make root beer. They need 4 pounds of sassafras to make one barrel of root beer, but they only have 1 pound.
How much root beer can they make?
Answer:
1/4
Step-by-step explanation:
Answer:
1/4 barrel of root beer
Step-by-step explanation:
4 pounds of sassafras = 1 barrel of root beer
algebraically, this is 4s = 1r
divide both sides by 4
1s = 1/4r
so 1 pound of sassafra can make 1/4 barrel of root beer
on the 1st of January a student puts N10 in a box. on the 2nd she puts N20 in the box. putting the same number of 10 naira notes as the day of the month. how much money will be in the box if she keeps doing this for the first 10 days of January and the whole of January
Answer:
N550
N4960
Step-by-step explanation:
10 days
First day: N10
Second day: N20
Third day: N30
...
Tenth day: N100
Sum of sequence: 10 + 20 + 30 + 40 + ... + 80 + 90 + 100
sum = (n/2)[2a+(n−1)d]
a = 10; n = 10; d = 10
sum = (10/2) × [2(10) + (10 - 1)(10)]
sum = 5[20 + 9(10)]
sum = 5[110]
sum = 550
Answer: N550
31 days
First day: N10
Second day: N20
Third day: N30
...
Thirty-first day: N100
Sum of sequence: 10 + 20 + 30 + 40 + ... + 290 + 300 + 310
sum = (n/2)[2a+(n−1)d]
a = 10; n = 31; d = 10
sum = (31/2) × [2(10) + (31 - 1)(10)]
sum = 15.5[20 + 30(10)]
sum = 15.5[320]
sum = 4960
Answer: N4960
Kevin borrowed some money from his friend in order to help buy a new video game system. Kevin agreed to pay back his friend $5 per week and originally borrowed $90. Make a table of values and then write an equation for L, in terms of t, representing the amount Kevin owes his friend after t weeks.
1. The table of values showing the amount Kevin owes his friend after t weeks is as follows:
Table of Values:Week Amount Owed
0 $90
1 $85
2 $80
3 $75
4 $70
...
18 $0 ($5 - $5)
2. The equation representing the amount (L) Kelvin owes his friend after t weeks is L = 90 - 5t.
What is an equation?An equation is a mathematical statement showing that two mathematical expressions using the equation symbol (=) are equal or equivalent.
Equations establish the numerical relationship existing between two or more mathematical expressions, numbers, values, or variables.
Week Amount Owed
0 $90
1 $85 ($90 - $5)
2 $80 ($85 - $5)
3 $75 ($80 - $5)
4 $70 ($75 - $5)
The total amount borrowed = $90
The amount of repayment = $5
The repayment period = weekly
Equation:Let the balance after t weeks of payment = L
L = 90 - 5t
In eighteen weeks, Kevin will complete the repayment of the loan.
Check:
If t = 18
L = 90 - 5t
L = 90 - 5(18)
L = 90 - 90
L = 0
Learn more about equations at https://brainly.com/question/2972832
#SPJ1
What is the perimeter in centimeters of triangle JKL
The perimeter of JKF is 28 cm.
What is perimeter?
The perimeter of a triangle is the distance around it, which is the sum of the lengths of its sides. The formula for the perimeter of a triangle is: Perimeter = a + b + c where a, b, and c are the lengths of the three sides of the triangle.
Given, triangle JKL and DEF is similar.
If two similar triangles have a scale factor of a : b, then the ratio of their perimeters is a : b.
Given,
perimeter of triangle DEF =28 cm
10 + 6+ third side = 28
third side = 12
Hence,
using the property of similar triangle,
perimeter of DEF/perimeter of JKL = DF/JL
28/ x = 12/4.5
28/x = 2.6
x/28 = 1/2.6
x = 28/2.6
x = 10.7 cm
The perimeter of triangle JKL = 10.7 cm
To know more about perimeter, visit:
https://brainly.com/question/17394545
#SPJ1
Solve forj: -16 = j/2 + -19
Given:
[tex]-16=\frac{j}{2}+(-19)[/tex]To solve for j :
Explanation:
Multiplying by 2 on both sides,
[tex]-32=j-38[/tex]Adding 38 on both sides, we get
[tex]\begin{gathered} -32+38=j-38+38 \\ 6=j \end{gathered}[/tex]Final answer:
The value of j is 6.
Find the measure of the angle indicated. pls help
Answer:
85
Step-by-step explanation:
There is a property of angle of triangles.
Exterior angle = Sum of opposite interior angles
7x + 8 = 3x - 9 + 61
7x + 8 = 3x + 52
7x - 3x = 52 - 8
4x = 44
x = 44/4
x = 11
m∠WHG = 7x + 8
= 7 ( 11 ) + 8
= 77 + 8
m∠WHG = 85
Answer:
Angle WHG is 85 degrees.
Step-by-step explanation:
X = 11.
7(11) + 8 = 85.
180 - 85 = 95 (Angle FHG.)
3(11) - 9 = 24 (Angle GFH.)
A triangle's angles always add up to 180 degrees.
24 + 95 + 61 = 180.
To double check, 180 - 95 = 85 degrees.
I hope this helped! And as for finding X, I kind of forgot how to get X, so I tried X being number 5-10 first, then tried 11, and it worked. Sorry for the late response.
define what is absolute
We will have that Absolute Value is the magnitude of a value and is denotated as follows:
| x | : The absolute value of x.
When we speak about magnitude we refer just to possitive values. For example:
*The absolute value of 3:
| 3 | = 3
*The absolute value of -45:
| -45 | = 45
From this, we can clearly see that we "keep the number" but not the sign.
eah built a tower that was 1 m 34 cm tall. Then, she added on an antenna that was 98 cm. How tall is the tower now? 1 m = 100 cm
Answer:
232cm (2m 32cm)
Step-by-step explanation:
1m 34cm = 134cm
134cm + 98cm = 232 cm
y=4x
x+y=-20
can someone help me solve this equation?I need a soluton like (x,y)
ty!
The solution for the equation would be (-4,-16) as the definition of solution of equation says "A number that can be entered for the variable to produce a true number statement is the solution to an equation".
What is solution to equation?A number that can be entered for the variable to produce a true number statement is the solution to an equation. One-step equations can be solved in four different ways: by adding, subtracting, multiplying, and dividing. In an equation, both sides will remain equal if we add the same amount to each side. Systems of equations can be solved using one of three techniques: graphing, substitution, or elimination. Simply plot the given equations on a graph and locate the point(s) where they all intersect to solve a system by graphing. You can find the values of the variables you are solving for by finding the coordinate of this point.
The equation is,
y=4x
x+y=-20
x+4x=-20
5x=-20
x=-4
y=-4*4
y=-16
(x,y)=(-4,-16)
According to the definition of solution of equation, "A number that can be entered for the variable to produce a true number statement is the solution to an equation," the answer to the equation would be (-4,-16).
To know more about equation,
https://brainly.com/question/10413253?referrer=searchResults
#SPJ1
help meeeeeeeeeeeeee pleaseeeeeeeeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeee pleaseeeeeeeeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeee pleaseeeeeeeeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The area of a rectangle is the product of its length and breadth. The maximum area enclosed by the fence is 36800 square meter and the dimensions of the enclosed area are 115 meter and 320 meter. The width is given as 115 meter.
What is a rectangle?A rectangle is a type of parallelogram that has equal diagonals.
All the interior angles of a rectangle are equal to the right angle.
The diagonals of a rectangle do not bisect each other.
The dimensions of the given rectangle are (650 - 2x) and x.
Then, the area of the given rectangle can be written in terms of x as
A(x) = x(650 - 2x)
In order to find the maximum area enclosed take the derivative of A(x) and equate it to zero as follows,
(660 - 2x) - 2x = 0
=> 4x = 660
=> x = 660 / 4
=> x = 115
Now, the maximum area is the value of A(x) at x = 115 as below,
= 115 × (650 - 2×115)
= 115 × 320
= 36800
The dimensions for the maximum area are 115 and (650 - 2 × 115) = 320.
Hence, the largest area enclosed is 36800 square meter and the dimensions of the enclosed area are 115 meter and 320 meter. The width is given as 115 meter.
To know more about rectangle click on,
https://brainly.com/question/25501702
#SPJ1
Can somebody help me with 2.) C? Thx, this is Algebra 2.
SOLUTION
Step 1 :
We need to list the transformation for the equation,
[tex]y\text{ = -}\frac{1}{5}x^2\text{ -3}[/tex]compared to the parabola parent function,
[tex]y=x^2[/tex]Step 2 :
We need to graph the function,
[tex]\begin{gathered} y\text{ = -}\frac{1}{5}x^2\text{ - 3} \\ \text{compared to the parabola parent function, y =x}^2 \end{gathered}[/tex]Step 3 :
The graph is as shown below:
Step 4 :
Based on the two graphs, we can see that:
The transformations are Reflection, Vertical Shift and Vertical Compression.
juan has fewer than ten $10 bills. he has more tahn three $1 bills. he has twice as many tens as ones. how much money does he have?
Answer:
$64.00
Step-by-step explanation:
dry concrete can be made by mixing sand gravel and cement into the ratio 1:3:5 if you want 1800kg of dry cement , how much would you need
The amount of sand = 200 kg
The amount of gravel = 600 kg
The amount of cement = 1000 kg
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
Dry concrete can be made by mixing sand, gravel and cement into the ratio 1 : 3 : 5.
And, They want 1800 kg of dry concrete.
Now,
Since, Dry concrete can be made by mixing sand, gravel and cement into the ratio 1 : 3 : 5.
So, We can formulate;
The amount of sand = x
The amount of gravel = 3x
The amount of cement = 5x
Hence, We get;
⇒ x + 3x + 5x = 1800
Solve for x as;
⇒ x + 3x + 5x = 1800
⇒ 9x = 1800
⇒ x = 1800/9
⇒ x = 200
Thus, The amount of sand = x = 200 kg
The amount of gravel = 3x = 3 × 200 kg
= 600 kg
The amount of cement = 5x = 5 × 200 kg
= 1000 kg
Therefore, We get;
The amount of sand = 200 kg
The amount of gravel = 600 kg
The amount of cement = 1000 kg
Learn more about the ratio visit:
https://brainly.com/question/2914376
#SPJ1
which is the quotient of 2,956 divided by 0.03?????
Answer:
[tex]98533 \frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\frac{2956}{0.03}=\frac{295600}{3}=98533 \frac{1}{3}[/tex]
The value of 41 squared is between which two whole numbers?
The image shows the square root of 41
The root of 41 in decimal is 6.403.
As such the integers before and after 6.403 are 6 and 7
Another way to solve this is to consider the perfect square before 41 which is 36.
The square root of 36 is 6. Since 41 is higher than 36, the number before root 41 would be 6 and the next number after 6 is 7.
Hence the two numbers before and after √41 are 6 and 7
estimate the answer the cost of 5 items at a grocery store if the items cost $6.93, $5.99, $15.73, $3,78 and $18.29
the total cost is:
[tex]6.93+5.99+15.73+3.78+18.29=50.72[/tex]$50.72
write in slope intercept form:(2, 16) and (0, 10). please help :)
The equation for a straight line is given by
[tex]y=mx+b[/tex]where m is the slope and b is the intercept.
The formula to calculate m is,
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ =\frac{10-16}{0-2}=\frac{-6}{-2}=3 \end{gathered}[/tex]Now the value of b can be calculated as, y intercept which here is, 10
Therefore, the required equation is, y=3x+10
3^10=3^7*x^3 solve for x
The value of x is 3.
What is the law of exponents?One of a set of rules in algebra: exponents of numbers are added when the numbers are multiplied, subtracted when the numbers are divided, and multiplied when raised by still another exponent: [tex]a^{m}.a^{n} = a^{m+n}[/tex], [tex]\frac{a^{m} }{a^{n} } = a^{m-n}[/tex]
Given that, [tex]3^{10} = 3^{7} x^{3}[/tex]
On solving, we get,
[tex]3^{10} = 3^{7} x^{3}[/tex]
[tex]\frac{3^{10} }{3^{7} } = x^{3}\\3^{10-7} = x^{3} \\3^{3} = x^{3} \\x = 3[/tex]
Hence, The value of x is 3.
For more references on law of exponents, click;
https://brainly.com/question/28966438
#SPJ1
In triangle ABC, angle C is a right angle. If cos A = 58, what is the value of cos B?
Question:
Solution:
The diagram of a triangle ABC, where C is the right angle is:
Now, by definition and according to the data of the problem, we get that:
[tex]\cos (A)=\frac{5}{8}=\frac{adjacent\text{ side to the angle A}}{hypotenuse}[/tex]that is:
now, to find the cos(B), first, we must find the missing side of the triangle. To do that, we can apply the Pythagorean theorem:
[tex]BC\text{ =}\sqrt[]{8^2-5^2}\text{ = }\sqrt[]{39}[/tex]now, with respect to angle B, we obtain that:
[tex]\cos (B)=\frac{adjacent\text{ side to the angle B}}{hypotenuse}=\frac{\sqrt[]{39}}{8}[/tex]So that, we can conclude that the correct answer is:
[tex]\frac{\sqrt[]{39}}{8}[/tex]complementary angles. If m/A= (5x - 11)° and
ZA and ZB are
m/B = (6x + 2)°, then find the measure of ZA.
PLEASE ANSWER ASAP !!!!
Answer:
∠ A = 34°
Step-by-step explanation:
complementary angles sum to 90° , then
5x - 11 + 6x + 2 = 90
11x - 9 = 90 ( add 9 to both sides )
11x = 99 ( divide both sides by 11 )
x = 9
Then
∠ A = 5x - 11 = 5(9) - 11 = 45 - 11 = 34°
GeometryQuestion 5•For what values of the variables must ABCD be a parallelogram?
SOLUTION:
For parallelograms; opposite sides are congruent;
Thus;
[tex]\begin{gathered} 2y-12=y-2 \\ solving\text{ for y} \\ 2y-y=12-2 \\ y=10 \end{gathered}[/tex]The shorter opposite sides must be equal too, thus;
[tex]\begin{gathered} 2x+1=y+3 \\ substitute\text{ in y = 10} \\ 2x+1=10+3 \\ 2x+1=13 \\ 2x=12 \\ x=6 \end{gathered}[/tex]Thus, for the figure to be a parallelogram, x = 6 and y = 10
you want to bake 3 apple pies to bring to your Thanksgiving meal. the apple pie recipe calls for 3 1/2 cups of diced apples. you know that 1 apple can yield between 0.6 and 0.8 cup of apples. how cups of diced apples do you need?
pls help me
Can you help me please ?
Answer:
the equation of life is 9/3 plus 875 div by 34 when the sun is blue.
Step-by-step explanation:
your welcome
Translate the numerical expression: Five times as large as the product of 3 and 6
Five times as large= multply by 5
As large as five times
Then
X =5x 3x6 =
X = 90
Find the equation of the line that passes through the points (-3,-4) and (3,2)
The equation of the line which passes through points (-3,-4) and (3,2) is y = (2/3)x - 2.
What does the slope intercept form entail?A line's equation can be written in the slope-intercept form such that the slope as well as y-intercept are clearly visible. The line's slope is its its steepness, and the y-intercept is where the line intersects the y-axis.The data in the given question is-
The passing points are-
(x1, y1) =(-3,-4) and
(x2, y2) = (3,2)
Slope = m = (y2 - y1)/(x2 - x1)
m = (2 + 4)/(3 + 3)
m = 6/9
m = 2/3
Equation of the line is evaluated using slope intercept form.
y - y1 = m (x - x1)
y + 4 = (2/3)(x + 3)
y = (2/3)x - 2
Thus, the equation of the line which passes through points (-3,-4) and (3,2) is y = (2/3)x - 2.
To know more about the slope intercept form, here
https://brainly.com/question/1884491
#SPJ13
Write the equation of the line in slope-intercept form that goes through the
points: (2, 4) and (7,-1)
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{-1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{2}}} \implies \cfrac{ -5 }{ 5 } \implies - 1[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{- 1}(x-\stackrel{x_1}{2}) \\\\\\ y-4=-x+2\implies {\Large \begin{array}{llll} y=-x+6 \end{array}}[/tex]