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4 years ago

Write an equation of the line passing through the point A(6,−1)A(6,−1) that is perpendicular to the line y = −2x+8y = −2x+8.

1 answer:

3 0

So the equation has to pass through (6,-1) and be perpendicular to y = -2x + 8.
The slope is -2, and to get the slope of a line perpendicular to another line you have to find the negative reciprocal of that slope. That means -2 is equal to
-2/1, and if you flip those numbers and find the opposite of that number making it positive, the slope of a line perpendicular to it is 1/2.
But the line also has to pass through (6,-1), so we have to find the y-intercept of the new line.
To do that, you multiply 6(the x) by the 1/2(the slope) and get 3. Then you subtract 3(previous answer) from -1(the y) and get -4. That means the y-intercept is -4!
All that's left is to build the equation with this information. The equation is:
y = -4 + 1/2x
Hope this helps!

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1.Which prefix means one hundredth?

Firdavs [7]

1. Centi
2. M
3. 6300
4. mg
5. 0.789
6. 98.7
7. L
8. 4 miles
9. A
10. 90 oz
11. 7650 lb
12. C
13. C
14. B
15. D
16. C
17. B
18. A
19. D

6 0

4 years ago

Read 2 more answers

Two rectangles are similar. The first rectangle has a length of 15 cm and a width of 10 cm. The width of the second rectangle is

Margarita [4]

Answer:

Its length is 37.5 cm.

Step-by-step explanation:

If two rectangles are similar, their sides are proportional, that is, they have equal ratios. So

The first rectangle has a length of 15 cm and a width of 10 cm. The width of the second rectangle is 25 cm.

$\frac{15}{10} = \frac{l}{25}$

$10l = 25*15$

Simplifying by 10.

$l = 2.5*15 = 37.5$

Its length is 37.5 cm.

7 0

3 years ago

The start of the hike, a hiker was at -50 below sea level and climbs a rate of 15 feet per minute

Helen [10]

Answer:

B. -50+15t>5

Step-by-step explanation:

Because the hiker climbs at a rate of 15 feet per minute, the hiker will climb 15t feet in t minutes. Therefore, -50 + 15t would represent where the hiker would be after t minutes. According to the problem, -50 + 15t is greater than 5

4 0

3 years ago

Read 2 more answers

The base of a triangle is seven less than twice its height. If the area of the triangle is 100cm^2 find the length of the base

Alexeev081 [22]

2x-7 * x
----------- =. 100^2= 10000
2

2x^2-7/2= x^2-7/2

x^2-7/2=10000

x^2 = 20007/7

7 0

4 years ago

Read 2 more answers

Use the law of Sines to find the missing angle of the triangle. <br> Find m

Whitepunk [10]

Ah...Trigonometry is fun!

The law of sines states:
$\frac{sinA}{a}= \frac{sinB}{b} = \frac{sinC}{c}$
The transitive property (switching the orders of the equations) applies here. Therfore, we can say that $\frac{sinA}{a}=\frac{sinC}{c}$

We then plug in our given values to find C

$\frac{sin24}{77}=\frac{sinC}{162}$
$\frac{162*sin24}{77}=sinC$
Solving, we get 0.8557316387. We're not done yet!

We are trying to find an angle measure, so we'll do the inverse of the ratio we used (sin).

arcsin0.8557316387 (arcsin is the same as inverse sin)
=58.8 (approximate)

So the measure of angle C is 58.8. You could check this by reinserting it into the equation $\frac{sinA}{a}= \frac{sinB}{b} = \frac{sinC}{c}$ .

:)

6 0

3 years ago