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3 years ago

What is the slope of the line that passes through the points (-2,12) and (0,3)

Mathematics

1 answer:

ycow [4]3 years ago

4 0

Answer:

-9/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-12)/(0-(-2))

m=-9/(0+2)

m=-9/2

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Find the value of x for which p is parallel to q, if m∠1 = (9x) and m∠3 = 117.

kvasek [131]

If p||q then, m∠1=m∠3

9x = 117
x = 117/9
x = 13

5 0

3 years ago

Read 2 more answers

ABC has coordinates of A(-8,-8) B(4,-2) C(2,2). Find the coordinates of its image after the dilation centered at the origin with

garri49 [273]

Answer:

A' ( -12 , -12 )

B' ( 6 , -3 )

C' ( 3 , 3 )

Step-by-step explanation:

To find the coordinates of a point after a dilation simply multiply the x and y values of the points by the scale factor

Points: A(-8,-8) B(4,-2) C(2,2)

Scale factor: 1.5

Coordinates after the dilation

A' = (-8,-8) --------> (-8 * 1.5 , -8 * 1.5 ) ------------> (-12 , -12)

B' = (4,-2) ---------> (4 * 1.5 , -2 * 1.5) -----------> (6 , -3 )

C' = (2 , 2) ----------> (2 * 1.5 , 2 * 1.5) -----------> (3, 3)

So inclusion the coordinates of ABC after a dilation centered at the origin with a scale factor of 1.5 are A' ( -12 , -12 ) B' ( 6 , -3 ) C' ( 3 , 3 )

4 0

3 years ago

PLS HELP. Find the first four terms of the recursive sequence defined by the following formula:

Gnoma [55]

Answer:

see explanation

Step-by-step explanation:

Given the recursive formula $a_{n}$ = $\frac{a_{n-1} }{4}$ and

$a_{4}$ = 2 $\frac{1}{4}$ = $\frac{9}{4}$ , then

$\frac{a_{3} }{4}$ = $\frac{9}{4}$ ( multiply both sides by 4 )

a₃ = 4 × $\frac{9}{4}$ = 9

$\frac{a_{2} }{4}$ = 9 ( multiply both sides by 4 )

a₂ = 36

$\frac{a_{1} }{4}$ = 36 ( multiply both sides by 4 )

a₁ = 144

The first 4 terms are

144, 36, 9, 2 $\frac{1}{4}$

3 0

3 years ago

Which function in vertex form is equivalent to f(x) = x2 + 8 – 16x?

damaskus [11]

Answer:

f(x)= (x+8)^2 + 200

Step-by-step explanation:

-b/2a gives you the x coordinate of the vertex and then plug it in for x to get the y coordinate. Put it in the formula (f()x= (x-h)^2 +k).

H is the x coordinate and K is the y coordinate

6 0

3 years ago

Find the substance's half-life, in days.<br> Round your answer to the nearest tenth.

shutvik [7]

Answer:

t = 5.6 day

t =5 days 14 hours 24 minutes

Step-by-step explanation:

Half life is the time it will take for the original value or quantity I'd a particular substance to decrease by half of it's original self.

N = N•e(-kt)

N• = 25

K = 0.1229

Then

N = 25/2 = 12.5

The reason because at the half life , it's original value will decrease to half.

Let's solve for the half life t

N = N•e(-kt)

12.5 = 25e(-0.1229t)

12.5/25 = e(-0.1229t)

0.5 = e(-0.1229t)

In 0.5 =-0.1229t

-0.69314 = -0.1229t

-0.69314/-0.1229 = t

5.6399 = t

To the nearest tenth

5.6 days = t

4 0

3 years ago