All categories

2 years ago

Use point-slope form to write the equation of a line that passes through the point

Mathematics

1 answer:

blagie [28]2 years ago

4 0

Answer:

y - 8 = -2(x - 9)

Step-by-step explanation:

Given the slope, m = -2, and the point, (9, 8):

Let (x₁, y₁) = (9, 8)

slope (m ) = -2

We can substitute these values into the following point-slope form:

y - y₁ = m(x - x₁)

y - 8 = -2(x - 9) ⇒ This is the point-slope form.

You might be interested in

−6∣x−2∣−9=4∣x−2∣+5 what are the solutions of the following equations?

Nonamiya [84]

Answer:

hlo

5 0

3 years ago

If two of these shapes are randomly chosen, one after the other without replacement, what is the probability that the first will

aleksandrvk [35]

Answer:

$P(T\ n\ S) = \frac{1}{14}$

Step-by-step explanation:

*Missing Part of the Question*

4 stars

5 triangles

3 circles

3 squares

Required

Determine the probability of triangle being first then square being second

$Total = 4 + 5 + 3 + 3$

$Total = 15$

Represent the triangle with T and square with S

So, we're solving for P(T n S)

$P(T\ n\ S) = P(T) * P(S)$

Solving for P(T)

$P(T) = \frac{n(T)}{Total}$

$P(T) = \frac{5}{15}$

Solving for P(S)

The question implies a probability without replacement;

Hence Total has now been reduced by 1

Total = 14

$P(S) = \frac{n(S)}{Total}$

$P(S) = \frac{3}{14}$

Recall that

$P(T\ n\ S) = P(T) * P(S)$

$P(T\ n\ S) = \frac{5}{15} * \frac{3}{14}$

$P(T\ n\ S) = \frac{15}{15 * 14}$

$P(T\ n\ S) = \frac{1}{14}$

Hence, the required probability is

$P(T\ n\ S) = \frac{1}{14}$

3 0

3 years ago

Mrs Galicia gave her sisters $3000 each to invest. The investment will last 8 years. The table shows what each sister did with t

Fiesta28 [93]

Answer:

The answer is c

Step-by-step explanation:

My original answer got deleted i dont know the reason.

4 0

2 years ago

In triangle UVW , the measure of angle W=90^ , the measure of angle U=31^ °, and UV = 31 feet. Find the length of VW to the near

Basile [38]

Answer:

Step-by-step explanation:

VW, also know as side X (as shown in image) can be found using the sine. Sin(theta)=opposite/hypotenuse. In this case, theta is 31 degrees and the hypotenuse is 31 feet. Plugging in all known values, we would have sin(31)=x/31. Rearrange the equation and isolate X on one side. Then use a calculator to find the answer. Good luck!

8 0

3 years ago

Describe the relationship between the number of places a decimal point is moved to the left and the change in the value of the n

dimaraw [331]

For every decimal place you move a decimal through a number you can think of it as multiplying or dividing by ten.

take for example 1000.0
if you move the decimal to make this number 100.00 you divided it by ten
if you move the decimal again to make 10.000 you divided ten again

but, if you make the number bigger, say 10000. then you have multiplyed by ten.

3 0

3 years ago