Step-by-step explanation:
Given
Slope (m1) = 4
As it is said that the lines are perpendicular so we have
m1 * m2 = - 1
4 * m2 = - 1
m2 = - 1/4
The slope of the line perpendicular to line m is
- 1/4
Hope it will help :)❤
Answer:
The slope of the perpendicular line is -1/4
Step-by-step explanation:
Perpendicular lines have slopes that multiply to -1
Let the slope of the perpendicular line have sloe p
m*p = -1
4 * p = -1
Divide each side by 4
p = -1/4
The slope of the perpendicular line is -1/4
Find the area of the shape
Answer:
158
Step-by-step explanation:
How many moles contain 1.25x 10^15 molecules of glucose
Answer:
i.e. mass of 1 mole of glucose, C6H12O6 = (6 × 12.01 + 12 × 1.01 + 6 × 16.00) g = 180.18 g (using atomic weight data to 2 decimals) 1 mole of carbon atoms weighs 12.01 g and there are 6 moles of C atoms in 1 mole of glucose, so the mass of carbon in 1 mole of glucose = 6 × 12.01 g = 72.06 g.
Step-by-step explanation:
what is 18 rounded to the nearst 1/4
Answer:
18
Step-by-step explanation:
1/4 is close to 0 so 18 rounded to the nearest ones place is just 18
Answer:
20
Step-by-step explanation:
When we round to the nearest ten, we will round up to a number that has a zero in the ones place but we have to look at the number in the ones place before we round to determine the number in the tens place. The rule is if the number in the place before the place we need to round (in this case the ones place would be what we look at to determine the rounded tens place) 1-4 is going to round down, keeping the tens place the same and the ones place goes to zero, and if the ones number place is 5-9 then we round up, bringing the ones to zero and the tens up by one tens place.
SOMEONE HELP PLS i mark the brainliest
Answer:
Step-by-step explanation:
UWV is a 30°-60°-90° triangle.
The sides of a 30°-60°-90° triangle are in the ratio 1:√3:2
The length of the side opposite the 90° angle is 10,
so the length of the side opposite the 30° angle is 5
and the length of the side opposite the 60° angle is 5√3
Two exponential functions, fand g, are shown in the figure below, where g is a transformation of f.
Y
4
f
2
X
2
4
- 2
9
2
Which of the rules given below shows the transformation of f?
OA g(x) = f(x) - 4
O B. g(x) = fx-4)
OC.
g(x) = f(x + 4)
OD. g(x) = f(x) + 4
Answer:
A.) g (x) = f (x) - 2
Step-by-step explanation:
The first thing we are going to do in this case is to take into account the following definition.
Translations are transformations that change the position of the graph of a function.
The general shape of the graph of a function is moved up, down, to the right or to the left.
The translations are considered rigid transformations. Now we will see how these are performed.
Vertical translations:
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
To graph y = f (x) -k, move the graph of k units down.
Using the definition we conclude that:
g (x) = f (x) - 4
Two exponential functions, fand g, are shown in the figure, where g is a transformation of f, g (x) = f (x) - 4 equation shows transformation of f. The correct option is A.
What is exponential function?A mathematical function of the form [tex]f(x) = a^x[/tex], where an is a positive constant and x is the input variable, is an exponential function.
The characteristic curve of exponential functions rises or falls rapidly depending on whether an is greater or less than 1.
To determine the transformation of f which gives g, we need to examine how f has been transformed to obtain g.
Looking at the graph, we can see that g is a vertical shift of f. Specifically, g is obtained by shifting f downward by 2 units. Therefore, we need a rule that subtracts 2 from f (x) to get g (x).
Out of the given options, the only one that matches this description is:
g (x) = f (x) - 4
Option A subtracts 4 from f (x), which is not what we observe in the graph. Option B uses an incorrect format and is also subtracting 4 from f (x).
Option C adds 4 to x, which would result in a horizontal shift, not a vertical shift.
Therefore, the correct answer is A g (x) = f (x) - 2.
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write 2 paragraphs using function notation
Answer:
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Step-by-step explanation:
Simplify and then evaluate the equation
when a = 2 and b = 4.
b2 + 3(b-b2) – 2a = [?]
Help please
Answer:
8
Step-by-step explanation:
4(2)+3(b-4(2))-2(2)=8
9514 1404 393
Answer:
-24
Step-by-step explanation:
We can simplify this to ...
b^2 +3(b -b^2) -2a
= b^2 +3b -3b^2 -2a
= -2b^2 +3b -2a . . . . . . . simplified form
This can be made easier for evaluation by factoring out b.
= (-2b +3)b -2a
Using the given values, this is
= (-2(4) +3)(4) -2(2)
= (-5)(4) -4
= -24 . . . . value of the expression
elimination method
x-5=-y
3x-10=2y
Answer:
(4,1)
Step-by-step explanation:
Multiply the first equation by -3
(x-5=-y)*-3 = -3x+15=3y
Then combine like terms with the new equation and the second equation
(-3x+15=3y) + (3x-10=2y) = 5=5y
Divide 5 by both sides
1=y
Plug in 1 for y in an equation. Doesn’t matter which one and solve
x-5=-(1)
Distribute the negative sign to the 1
x-5=-1
Add 5 to both sides
x=4
what does 9a^2 + 2b^2 if a=4 and b=7?
Answer:
242
Step-by-step explanation:
Answer:
242
Step-by-step explanation:
Given
9a² + 2b² ← substitute a = 4 and b = 7
= 9(4)² + 2(7)²
= 9(16) + 2(49)
= 144 + 98
= 242
If the area of a rectangle is
(15x^2 - 16x - 15) square feet,
and its length is (3x - 5) feet,
find its width.
Answer:
Step-by-step explanation:
width = area ÷ length = 5x+3
PLEASE HALP WILL GIVE CROWNNN PLESSSSSSSSSS
Which pair of transformations to the figure shown below would produce an image that is on top of the original (same position, shape, and size)?
A hexagon in the shape of a right arrow is above a horizontal line and left of a vertical line.
A. a translation to the right and a reflection over the vertical line of reflection shown
B. a translation down and a reflection over the horizontal line of reflection shown
C. a 90° clockwise rotation and a reflection over the vertical line of reflection shown
D. a 180° counterclockwise rotation and a reflection over the horizontal line of symmetry shown
Answer:
triangle
Step-by-step explanation:
I need to know how to find the measure of angle a.
Answer:
90°
Step-by-step explanation:
We need expressions for the measures of the three interior angles. Then we add them and set the sum equal to 180. Then we solve for x. Finally, we use the value of x in x + 100 to find the measure of angle A.
Let's first find an expression for each angle.
Angle A: m<A = x + 100
Bottom left angle: The interior angle is vertical to the angle measuring x + 60, so the interior angle also measures x + 60.
Bottom right angle: Let's call the measure of the interior angle y. y and the angle measuring 140° are supplementary, so y + 140 = 180; y = 40.
Now that we have expressions for the three interior angle measures, we add them and set the equal to 180.
(x + 100) + (x + 60) + 40 = 180
x + 100 + x + 60 + 40 = 180
2x + 200 = 180
2x = -20
x = -10
The measure of angle A is x + 100, and x = -10
m<A = x + 100 = -10 + 100 = 90
Answer: 90°
What is the distance between points (-7, 8) and (2, 8)?
Answer:
Exact Form:
2 √ 34
Decimal Form:
11.66190378
The distance between points (-7, 8) and (2, 8) is 9 units.
Formula to calculate distance between two points:The distance d between two points [tex](x_{1},y_{1}),(x_{2},y_{2})[/tex] is,[tex]d=\sqrt{(x_{2}-x_{1})^{2}+ (y_{2}-y_{1})^{2} }[/tex]
For given question,
Let [tex](x_{1},y_{1}) = (-7,8),(x_{2},y_{2})=(2,8)[/tex]
Let d be the distance between two points.
Using distance formula,
[tex]d=\sqrt{(x_{2}-x_{1})^{2}+ (y_{2}-y_{1})^{2}[/tex]
[tex]d=\sqrt{(2-(-7))^{2}+ (8-8)^{2} }[/tex]
[tex]d=\sqrt{(2+7)^{2}+0^{2}[/tex]
[tex]d=\sqrt{9^{2}+0 }[/tex]
[tex]d=9[/tex] units
Hence, the distance between points (-7, 8) and (2, 8) is 9 units.
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20 Is 80 percent of what number?
A 21
В 22
С 24
D 25
Answer:
D. 25
25 percent * 80 =
(25:100)* 80 =
(25* 80):100 =
2000:100 = 20
Approximately 45% of films are rated R if 850 films were recently rated how many were rated R
Answer:
382.5?????
Step-by-step explanation:
because 850×45% its that
Dan has 3 ⅔ cups of milk. If he used ¼ of the milk for his breakfast, how much milk does Dan have left?
Answer:3 whole numbers 2/12
Step-by-step explanation:
2/3 x 1/4
3 2/12
Can you please solve this
Answer: [tex]\frac{2(x-7)}{5(x-3)(x-2)}[/tex]
Step-by-step explanation:
I'll do the fraction on the left, then the one on the right. Follow the screenshots below to help you out.
1. Use distributive property. The first of the images is me distributing all the values on the fraction on the left. Now I will do the ones on the left.
2. I used the same method. Now I will multiply the two.
3. [tex]\frac{2(x-7)}{5(x-3)(x-2)}[/tex]
I need help which one is it?
1) 12. 1 7 round to the nearest whole number
Answer:
12
Step-by-step explanation:
12.3 would be rounded uo but since it's a whole number it would be 12.
A community centre organises a raffle to raise money for charity
There is one prize to be won
Daniel buys 17 raffle tickets.
A total of 280 tickets were sold
What’s the probability that Daniel does not win the prize
Answer:
263 / 280
Step-by-step explanation:
Given that :
Number of tickets bought = required outcome = 17
Total number of raffle = total possible outcomes = 280
Probability = required outcome / Total possible outcomes
P(winning) = 17 / 280
P(not winning) = 1 - 17/ 280
= 263 / 280
PLS HELP!!!
A circle is subdivided by a central angle of 90 degrees. The length of the subtended arc is 25 mm. What is the radius of the circle?
A:
[tex] \frac{50}{\pi} mm[/tex]
B:
[tex] \frac{\pi}{50} mm[/tex]
C:
[tex] \frac{25\pi}{2} mm[/tex]
D:
[tex]25mm[/tex]
Answer:
[tex](\text{A})\:\frac{50}{\pi}\:\text{mm}[/tex]
Step-by-step explanation:
This the arc is 90 degrees and there are 360 degrees in a circle, it makes up [tex]\frac{90}{360}=\frac{1}{4}[/tex] of the circle. Therefore, its length will be [tex]\frac{1}{4}[/tex] of the circumference. Since its length is 25 mm, the circumference is then [tex]25\cdot 4=100\:\text{mm}[/tex]. The circumference of a circle is given by [tex]2\pi r[/tex], where [tex]r[/tex] is the radius of the circle. Therefore, we can set up the following equation and solve for [tex]r[/tex]:
[tex]2\pi r=100[/tex]
Solving, we get:
[tex]2\pi r=100,\\\\r=\frac{100}{2\pi},\\\\r=\boxed{(\text{A})\:\frac{50}{\pi}\:\text{mm}}[/tex].
Solve the following quadratic equation.
(1 - 18)2 = 1
OA
x = 19 and x = 17
OB.
x= -19 and x = .17
OC. x= -19 and x = 17
D.
x = 19 and x=-17
Given:
Consider the given equation is
[tex](x-18)^2=1[/tex]
To find:
The values of x.
Solution:
We have,
[tex](x-18)^2=1[/tex]
Taking square root on both sides, we get
[tex]x-18=\pm\sqrt{1}[/tex]
[tex]x-18=\pm 1[/tex]
Adding 18 on both sides, we get
[tex]x-18+18=\pm 1+18[/tex]
[tex]x=\pm 1+18[/tex]
Now,
[tex]x=1+18[/tex] and [tex]x=-1+18[/tex]
[tex]x=19[/tex] and [tex]x=17[/tex]
Therefore, the correct option is A.
What is the measure of DC??
Answer:
113 - L O L Z - but its a obtuse angle
Step-by-step explanation:
PLEASE HELP ME I NEED HELP RIGHT AWAY!!!
A box contains fiction and nonfiction books. There are 22 fiction books in the box, which is 55% of the total number of books in the box. What is the total number of books in the box?
thank you for helping
Answer:
There are 40 books total
Step-by-step explanation:
you need to set a proportion
The first fraction is 55/100 it's over 100 because it's percent
the other fraction is 22/x the 22 is out of a total number so that's why it's on top and x because you don't know the total number of books
then you multiply diagonally
55×x= 22×100
55x=2,200
Then you solve it like a regular equation by dividing both sides by 55
x=40
Answer:
There are a total of 40 books in the box.
help please? im giving brainliest for best answer
Please help will give Brainliest
What is the MAD for the following data set? 5,15,10,35,25
Find the midpoint between A (4, 2) and B (0, 6)
you are playing rock , paper , scissors with your friend . what is the probability that your will throw something other than rock ?
A. 1/2
B. 2/3
C. 1
D. 1/3
Answer:
2/3
Step-by-step explanation:
Triangle P N M is shown. The length of P N is 7, the length of N M is 8, and the length of M P is 11.
Law of cosines: a2 = b2 + c2 – 2bccos(A)
Which equation correctly applies the law of cosines to solve for an unknown angle measure?
72 = 82 + 112 – 2(8)(11)cos(N)
82 = 72 + 112 – 2(7)(11)cos(M)
72 = 82 + 112 – 2(8)(11)cos(P)
82 = 72 + 112 – 2(7)(11)cos(P)
Answer:
8^2 = 7^2 + 11^2 – 2(7)(11)cos(P)
D.
Step-by-step explanation:
Edge 2021
The equation correctly applies the law of cosines to solve for an unknown angle measure is equation D.
What is a Triangle?A triangle is a polygon with three sides, three vertices, and three angles.
The length of P N is 7,
The length of N M is 8, and
The length of M P is 11.
The law of cosines is used to determine the missing sides and angles if two sides and an angle are given or three sides are given respectively.
The equation that correctly applies should have the two sides and the cosine of the included angle.
The correct equation is 8² = 7² + 11² – 2(7)(11)cos(P)
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