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xz_007 [3.2K]
3 years ago
7

A line contains the point (4, 2) and has a slope of −3.

Mathematics
1 answer:
Naya [18.7K]3 years ago
8 0

Answer: the equation is y = - 3x + 14

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

c represents the y intercept

m represents the slope of the straight line.

The slope of the given line is - 3 and it contains the point (4, 2)

To determine the y intercept, we would substitute m = - 3, x = 4 and

y = 2 into y = mx + c. It becomes

2 = - 3 × 4 + c

2 = - 12 + c

c = 12 + 2

c = 14

The equation becomes

y = - 3x + 14

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What is the arc measure of DBC in degree
aliya0001 [1]

The length of both AB and DC is the same.

19 degrees

We want to know the arc measure for the whole circle, except for DC. So, we can subtract the arc measure of DC from 360 to find DBC. Since we found DC above, all we need to do is subtract.

360 - 19 = 341

DBC = 341 degrees

Hope this helps!! :)

8 0
3 years ago
what are the lengths of the legs of a right triangle in which one acute angle measures 19° and the hypotensue is 15 units long?
givi [52]
Refer to the diagram shown below.

Given:
m∠A = 19°
c = 15

By definition,
sin A = a/c
Therefore
a = c*sin A = 15*sin(19°) = 4.8835

cos A = b/c
Therefore
b = c*cos A = 15*cos(19°) =14.1828

Answer:
The lengths are 4.88, 14.18, and 15.00  (nearest hundredth)  

6 0
3 years ago
Find the distance between the pair of points (-7, 2) and (-2, 14)
VladimirAG [237]

Step-by-step explanation:

Distance between points (-7, 2) and (-2, 14) is 13

6 0
3 years ago
Write an equation for the vertical translation y=-2/9 |x| -7; 1 units down
klasskru [66]

Answer:

y = -2/9 |X| - 8

Step-by-step explanation:

I'm not certain whether the -7 is part of the |X| or it's just out of the equation. But shifting an equation up or down is very intuitive.

If you want to move an equation up a certain unit, you just add that many units (positive) onto the end of an equation. The same goes for moving a unit down, where you subtract that many units you want to go down.

8 0
3 years ago
Read 2 more answers
How do i solve this problem?
VladimirAG [237]
First, you know that the sum of all the angles is 540 degrees, so add them all together to find an equation that can be solved for b.

b+(3/2b)+(b-45)+(2b-90)+90=540

Then simplify the equation:

b+(3/2b)+b+2b=540+45+90-90
4b+(3/2b)=585
11/2b=585
11b=585x2
11b=1170
b=1170/11
b=106.36

Using this answer for 'b', you can plug it into the other values for the angles to find the final answers.
7 0
3 years ago
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