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Colt1911 [192]
3 years ago
10

Write the equation of the line passing through the point (-2, 2) that is parallel to the line y = 2x + 3

Mathematics
1 answer:
Bezzdna [24]3 years ago
8 0

Hi there! :)

\large\boxed{y = 2x + 6}

A line that is parallel to y = 2x + 3 must have the same slope of 2. Therefore:

We can use the given point as well as the slope-intercept formula y = mx + b to solve.

Plug in the x-coordinate for "x" and y-coordinate of the point into "y":

2 = 2(-2) + b

2 = -4 + b

6 = b

Rewrite the equation:

y = 2x + 6

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Svetlanka [38]
The vertex-form equation is
  y = a(x+1)² -16
Putting in the y-intercept values, we have
  -15 = a(0+1)² -16
  1 = a . . . . . . . . . . . add 16

Then the x-intercepts can be found where y=0.
  0 = (x+1)² -16
  16 = (x+1)²
  ±4 = x+1
  x = -1 ± 4 = {-5, 3}

8 0
2 years ago
I need the percentage of the shaded area.
arsen [322]

Answer:

1.22

Step-by-step explanation:

Since there is one whole shaded. And 2 tens, and 2 ones. Its 1.22.

3 0
3 years ago
Determine the intercepts of the line. 7x-5=4y-67x−5=4y−67, x, minus, 5, equals, 4, y, minus, 6 xxx-intercept: \Big((left parenth
sesenic [268]

Given:

The equation of line is

7x-5=4y-6

To find:

The x and y-intercept of the given line.

Solution:

We have,

7x-5=4y-6

Putting x=0, we get

7(0)-5=4y-6

Add 6 on both sides.

0-5+6=4y

1=4y

Divide both sides by 4.

\dfrac{1}{4}=y

So, the y-intercept is \left(0,\dfrac{1}{4}\right).

Putting y=0 in given equation, we get

7x-5=4(0)-6

Add 5 on both sides.

7x=-6+5

7x=-1

Divide both sides by 7.

x=\dfrac{-1}{7}

So, the x-intercept is \left(-\dfrac{1}{7},0\right).

4 0
3 years ago
Read 2 more answers
An element with mass 590 grams decays by 19. 5% per minute. How much of the element is remaining after 15 minutes, to the neares
solmaris [256]

Answer:

Step 1

Formulate a recursive sequence modeling the number of grams after n  minutes.

we have that

100%-17.1%-------------- > 82.9%------------> 0.829

a(n) = 780*[0.829^n]

for n=19 minutes

a(19)=780*[0.829^(19)]=22.1121 g---------------> 22.1 g

the answer is 22.1 g

Step-by-step explanation:

5 0
2 years ago
What is the volume of the water contained in the cylinder?
Margarita [4]

Answer:

Vf = 118.365 m3

Step-by-step explanation:

Vcil = Pi*[(20)^2]*(100=

Vcil = 125.600 m3

Vesf = (4/3)*Pi*(12)^3

Vesf = 7235 m3

Then

Vf = Vci - Vesf

Vf = 125.600 - 7235

Vf = 118365 m3

Best regards

3 0
3 years ago
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