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2 years ago

Write an equation of the line in slope-intercept form.

Mathematics

1 answer:

Tasya [4]2 years ago

6 0

Answer:

y = x + 4

Step-by-step explanation:

From point (-1, 3) to point (0, 4), go up 1 (rise = 1) and go right 1 (run = 1).

slope = m = rise/run = 1/1 = 1

The y-intercept is b = 4

y = mx + b

y = x + 4

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CD is perpendicular to AB and passes through point C5, 12).

Aleksandr-060686 [28]

Answer:

x intercept of CD = 17

Step-by-step explanation:

We are given a line AB with its end coordinates. and Another line segment CD which is perpendicular to AB. We have the coordinates of C , and we are asked to find the x intercept of line CD.

For that we need to find the equation of CD

we have coordinates of C , and hence if we have slope of CD we can find equation of CD

Slope of CD can be determine with the help of slope of AB as CD⊥ AB

So, the slope of CD $mCD = -\frac{1}{mAB}$

Hence we start from determining slope of AB

slope is given as

$m= \frac{y_2-y_1}{x_2-x_1}$

$m= \frac{14-(-3)}{7-(-10)}=\frac{17}{17}=1$

Hence $mAB=1$

There fore $mCD=-1$

(∵ Product of Slopes of two perpendicular lines is always -1)

Now we find the equation of CD with the help of slope -1 and coordinates of C(5,12)

$m=\frac{y-y_1}{x-x_1}$

$-1=\frac{y-12}{x-5}$

$-x+5=y-12$

$y=-x+17$

Hence we have our equation , now in order to find the x intercept we keep y = 0 in it and solve for x

$0=-x+17$

$x=17$

Hence the x intercept is 17

8 0

2 years ago

Trevor ran 2.3 miles on Monday and then ran some more on Tuesday, he had run a total of 5.55 miles for the week. How much did he

KiRa [710]

Answer:

He ran 3.25 on Tuesday

Step-by-step explanation:

The answer is 3.25 because 5.55 minus 2.3 is 3.25.

5 0

3 years ago

Read 2 more answers

The elevation E, in meters, above sea level at which the boiling point of a certain liquid is t degrees Celsius is given by the

Anna007 [38]

Answer:

$E(119.5)= 730m$

Step-by-step explanation:

Given

$E(t)= 1200(120-t)+520(120-t)^2$

Required

Determine E(119.5)

$E(t)= 1200(120-t)+520(120-t)^2$

Simply substitute 119.5 for t

$E(119.5)= 1200(120-119.5)+520(120-119.5)^2$

Evaluate the expressions in bracket

$E(119.5)= 1200(0.5)+520(0.5)^2$

Solve 0.5²

$E(119.5)= 1200 * 0.5+520*0.25$

$E(119.5)= 600+130$

$E(119.5)= 730$

Hence;

$E(119.5)= 730m$

5 0

3 years ago

Which of the following are factors of 6x^2+30x-36

attashe74 [19]

I think the answer is 3,2, x+6, and x+2 because the common factor is 6. Hope this helps.

5 0

3 years ago

Can someone answer this no bots please I will give you brainliest… please

Jobisdone [24]

Answer: Alice

Step-by-step explanation: Alice won because she started furthest From the starting line.

5 0

2 years ago