All categories

3 years ago

Write an equation for the graph, where y depends on x.

Mathematics

1 answer:

Over [174]3 years ago

5 0

Answer:

y = -3x + 6

Step-by-step explanation:

Equation of straight line is given by,

y = mx + b

m = slope of the line

b = y-intercept

From the graph attached,

m = $\frac{\text{Rise}}{\text{Run}}$

= $\frac{-6}{2}$

= -3

y intercept 'b' = 6

Therefore, equation of the line will be,

y = -3x + 6

You might be interested in

Solve the equation by completing the square. x^2-7x-4=0. Have to show steps.

Paul [167]

X^2-7x-4=0
(x-7/2)^2-(7/2)^2-4=0
(x-7/2)^2-(7)^2/(2)^2-4=0
(x-7/2)^2-49/4-4=0
(x-7/2)^2+(-49-4*4)/4=0
(x-7/2)^2+(-49-16)/4=0
(x-7/2)^2+(-65)/4=0
(x-7/2)^2-65/4=0
(x-7/2)^2-65/4+65/4=0+65/4
(x-7/2)^2=65/4
sqrt[ (x-7/2)^2 ]=+-sqrt(65/4)
x-7/2=+-sqrt(65)/sqrt(4)
x-7/2=+-sqrt(65)/2
x-7/2+7/2=+-sqrt(65)/2+7/2
x=7/2+-sqrt(65)/2
x=[7+-sqrt(65)]/2
x1=[7-sqrt(65)]/2
x2=[7+sqrt(65)]/2

4 0

3 years ago

Judy hiked on two trails. The first trail was 5- 1/4 miles long, and the second trail was 1- 1/2 times longer than the first one

scoundrel [369]

Answer:

Judy hiked: $1\frac{37}{68} miles$

Step-by-step explanation:

The first trail = $5\frac{1}{4}= \frac{21}{4}$ miles

The second trail = 1 1/2 times longer than the first

$1\frac{1}{2} * 5\frac{1}{4}\\\\ = \frac{3}{2}*\frac{21}{4} =\frac{63}{8}$ miles

Total trails then becomes:

$\frac{21}{4} +\frac{63}{8}= \frac{(2*21) + 63}{8} \\\\= \frac{42+63}{68}=\frac{105}{68} \\\\= 1\frac{37}{68} miles$

4 0

3 years ago

See image for question. Please show workings and diagrams.

Komok [63]

Answer:

a) 258 km
b) 267°
c) 87°

Step-by-step explanation:

Refer to attached diagram (not to scale).
Given details are reflected.

First find the measure of angle Q

m∠Q = 36° + (180° - 125°) = 91°

a) Use law of cosines to find x:

x = √(160² + 200² - 2160*200*cos 91°) = 258 km (rounded)

Use the law of sines to find the missing angles:

258 / sin 91 = 160 / sin R = 200 / sin P
m∠R = arcsin (160 sin 91° / 258) = 38°
m∠P = 180° - (91° + 38°) = 51°

b) Bearing P from R:

360° - (55° + 38°) = 267°

c) Bearing R from P:

36° + 51° = 87°

4 0

3 years ago

Read 2 more answers

A sample of values has a mean of 500.0 and a standard deviation of 50.0. use the range rule of thumb to find estimates for the m

leonid [27]

The Range Rule of Thumb says that the range is about four times the standard deviation. (i.e. two standard deviations to the left and two standard deviations to the right of the mean).

Given that the mean is 500 and the standard deviation is 50, then

The minimum and the maximum "usual" values are given by

$500\pm2(50)=500\pm100 \\ \\ =(500-100,\ 500+100)=(400,\ 600)$

Therefore, the minimun "usual" value is 400 while the maximum "usual" value is 600.

7 0

3 years ago

A row of plaques cover 120 square

Mademuasel [1]

I am guessing your question is A row of plaques covers 120 square feet of space along a wall. If the plaques are 3 feet tall, what length of the wall do they cover?
I know the answer to this question because i had to do this for a test before. and the answer is that it covers 140 ft of the wall

7 0

3 years ago