Given:
Point on straight line = (-6,4)
Gradient = -2
To find:
The equation of the line.
Solution:
Point-slope form: If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the equation of the line is
[tex]y-y_1=m(x-x_1)[/tex]
The line passes through the point (-6,4) with slope -2. So, the equation of the line is:
[tex]y-4=-2(x-(-6))[/tex]
[tex]y-4=-2(x+6)[/tex]
[tex]y-4=-2x-12[/tex]
Adding 4 on both sides, we get
[tex]y-4+4=-2x-12+4[/tex]
[tex]y=-2x-8[/tex]
Therefore, the equation of the line is [tex]y=-2x-8[/tex].
on Iready Question 7 angle sum properties Level H what is the answer
Answer:
Step-by-step explanation:75
Can someone tell me which equation this is
1. f(x)= 1/4x +4
2. y=1/2x +4
3. f(x)=-2/3 +4
2.5x + 100= 600 solve for x
ANSWER:
2.5x + 100=600
x=200
step by step explanation:
Calculate the value of y to the nearest hundredth.
Answer:
y ≈ 9.24
Step-by-step explanation:
Using the cosine ratio in the right triangle.
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{8}{y}[/tex] ( multiply both sides by y )
y × cos30° = 8 ( divide both sides by cos30° )
y = [tex]\frac{8}{cos30}[/tex] ≈ 9.24 ( to the nearest hundredth )
Find the value of 1.999.... in the form of p
q
where p and q are integers.
1.999… is exactly the number 2.
Let x = 1.999… . Then 1000x = 1999.999… . Subtract x from this to eliminate the fractional part, and you get
1000x - x = 1999.999… - 1.999…
1000x - x = 1999 - 1
999x = 1998
x = 1998/999 = 2/1 = 2
So p = 2 and q = 1.
What is the slope between the points (-2, -4) and (3, 4)?
Answer:
m= y2_ y1÷ x2-x1= 4-(-4) ÷ 3-(-2) = 8 ÷ 5
the james family went to a restaurant for dinner, their bill was $58.97 . they would like to leave a 20% tip. what is the amount of the tip they would like to leave the server
58.97
move the decimal to the left by one in order to get 10%
5.897
now multiply by 2 to get 20%
$11.79
If Maya’s crew paints the platform at a rate of 720 feet per hour, determine how long to the nearest hour it will take them to paint the entire platform. ( read and respond)
Answer:
400/2.5 = 720/x
400x = 720 x 2.5
x = 4.5
Step-by-step explanation:
The required hours it would take to paint the entire platform is given as x/720. Where x is the length of measure of the platform.
What is rate of change?Rate of change is defined as the change in value with rest to the time is called rate of change.
Here,
Maya’s crew paints the platform at a rate of 720 feet per hour,
Let the length of the platform be x,
Now,
Divide the length with the rate, giving the time to paint the complete platform,
Time = length/rate
Time = x / 720
Thus, the required hours it would take to paint the entire platform is given as x / 720. Where x is the length of measure of the platform.
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How would this following triangle be classified I’ll give brainliest
Answer:
second answer
isoceles rigth
Step-by-step explanation:
what is m<M to the nearest degree? show your work.
Answer:
27°
Step-by-step explanation:
We solve the above question using the Trigonometric function of Sine
sin theta = opposite/Hypotenuse
Opposite = 5
Hypotenuse =11
sin theta = 5/11
theta = arc sin (5/11)
theta = 27.035691789°
Approximately = 27°
Angle m<M = 27°
I do not know what they are asking here, and how to find it.
Answer:
Step-by-step explanation:
they want the values of y and x.
DA=BC
DC=AB
so we can tell that given that E is an intersection:
DE=BE
CE=AE
Predict what will happen to the lynx population after 1935. Will it go up or down? Explain why you think this.
Please help me. I will adore u
Answer:
It'll go down
because they're very rare
James works on his math work for 7/8 of an hour. He works on his science for 5/8 of an hour. How much longer does James work on math than on science? Enter your answer as a fraction in simplest form by filling in the boxes.
Answer:
1/4
Step-by-step explanation:which is 2/8 simplified
which statement correctly describes the rage of change between hours studied and corresponding test scores of the two students?
A. Jake’s test scores increased by 1 point more than Howie’s test scores for each hour studied.
B. Jake’s test scores increased by 3 points more than Howie’s test scores for each hour studied.
C. Howie’s test scores increased by 1 point more than Jake’s test scores for each hour studied.
D. Howie’s test scores increased by 3 points more than Jake’s test scores for each hour studied.
Answer:
A. is ur answer
Step-by-step explanation:
the rate of change for Jack is 7 points increased for each additional hour studied and the rate of change for Howie is 6 points increased per hour so 7-6 is equal to 1.
hope this helps <3
[tex]3x-2y=222x+5y=2[/tex]
can someone plz help me
Answer:
d = 6.3 units
Step-by-step explanation:
Distance formula:
d=√((x_2-x_1)²+(y_2-y_1)²)
Your ordered pairs (-8, 6) and (-6, 0)
d=√((-6-(-8))²+(0-6)²)
d=√((-6+8))²+(-6))²)
d=√((2)²+ 36)
d = √40
d = 6.32...
d = 6.3
hello help please i’ll mark brainliest!!!
Answer:
365 Days
Step-by-step explanation:
The moon is at the same speed of the Earth
Answer:
It takes about one month for the Moon to orbit Earth (27.3 days to complete a revolution, but 29.5 days to change from New Moon to New Moon).
if 35% of a number is 140 what is that number
Answer this please I’ll give brainlest if you answer it correctly!
Answer:
V≈75.4in³
Step-by-step explanation: This is what I got. I hope its right!
Answer:
Step-by-step explanation:
75.4
A scarf cost $17 after the 15% discount was applied. What is the original price?
help me please ❤️ !!!!
Answer:
Piece-Wise Function
can have more than one type of functionholes can existto evaluate, look at the right side to determine which piece of the function to useLinear Function
is written in standard form Ax + By = Cslope is the same for the entire graphis written in slope-intercept form y=mx+bNeither one of these always looks like a parabola.
SOS PLEASE HELP write the equation for this line
Answer:
y = - x + 3
or
x + y = 3
Step-by-step explanation:
Line is passing through the points (3, 0) & (0, 3)
y-intercept (b) = 3
Slope of the line (m) = (3 - 0)/(0 - 3) = 3/(-3) = - 1
Now, required equation of line is given as:
y = mx + b
y = - 1*x + 3
y = - x + 3
or
x + y = 3
what is 40 percent of 90 percent
Answer:0.36
or 36
Step-by-step explan: used calculator
can someone help me with this please - can you also give a step by step not just an answer
Answer:
The way I was taught to do it is to change value into a total fraction, then multiple the numerators together, multiply the denominators together, and finally reduce as far as possible.
7/9 x 5 2/5 = 7/9 x 27/5 = 189/45 = 4 9/45 = 4 1/5
1 3/4 x 4 1/6 = 7/4 x 25/6 = 175/24 = 7 7/24
HELP SLLSLSLSKSKSKALSKSSKAKSKLSSKL
Answer:B
Step-by-step explanation:
4(c-3)=8
what does c equals?
correct answers ONLY please
Answer:
the answer is this 4(c-3)=8 is c=5
11/21
as a decimal rounded to the nearest tenth is.....!?
Answer:
0.5
Step-by-step explanation:
11 / 21 = 0.5238
0.5238
* If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.
Therefore it's 0.5238 = 0.5
0.5 is the decimal number nearest to tenth of 11/21.
What is Number system?A number system is defined as a system of writing to express numbers.
Given,
11/21
Eleven divided by twenty one.
0.5238
If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.
If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.
0.5 is the decimal number nearest to tenth.
Hence, 0.5 is the decimal number nearest to tenth of 11/21.
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PLEASE HELP
A company's human resources (HR) department wants to find out what proportion of the company's 1,500 employees regularly visit the in-office recreational room. Throughout a week, HR assistants randomly handed out surveys to employees as they entered the office building every day, until 400 different employees confirmed or denied they visited the recreational room on a regular basis. The survey found that over 30% of the employees who completed the survey visit the recreational room on a regular basis. Which assumption can be made regarding the proportion of all the employees who visit the recreational room on a regular basis?
А. No assumptions can be made about the approximate proportion of all employees who visit the recreational room because the sample is blased.
B. The approximate proportion of all employees who visit the recreational room will be similar to the sample proportion because the sample accurately represents the population.
C. The approximate proportion of all employees who visit the recreational room will be greater than the sample proportion because it is a larger group of employees.
D. No assumptions can be made about the approximate proportion of all employees who visit the recreational-room because the sample size is too small.
Answer:
The answer is B
Step-by-step explanation:
The approximate proportion of all employees who visit the recreational room will be similar to the sample proportion because the sample accurately represents the population.
What is a survey?A survey is conducted in order to collect a piece of specific information from a group of people chosen from the entire population who denotes the entire population for those questions.
The assumption can be made regarding the proportion of all the employees who visit the recreational room on a regular basis is:
B.) The approximate proportion of all employees who visit the recreational room will be similar to the sample proportion because the sample accurately represents the population.
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How many lines of symmetry are there in the object pictured below?
Answer:
There are two lines of symetry.
Answer:B
Step-by-step explanation
its B
Caroline is planning on reducing her working schedule and only work 7 hours each day for 4 days a week work out the percentage reduction in Caroline's earnings if she decides to go ahead with her plan
The percentage reduction in Caroline's earnings if she decides to go ahead with her plan is 30%.
How to calculate the value?Since Caroline works 8 hours each day for 5 days a week and she's earns £11 per hour. The amount earned for the week is:
= (80 × 5 × £11)
= £440
When she is planning on reducing her working schedule and only work 7 hours each day for 4 days a week. The amount will be:
= (4 × 7 × £11)
= £308
The percentage reduction will be:
= Difference on amount / Old amount × 100
= (440 - 308) /440 × 100
= 132/440 × 100
= 0.3
= 30%
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Caroline works 8 hours each day for 5 days a week. She's earns £11 per hour. Caroline is planning on reducing her working schedule and only work 7 hours each day for 4 days a week work out the percentage reduction in Caroline's earnings if she decides to go ahead with her plan