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2 years ago

Write the slope-intercept form of the equation of a line parallel to y=-2/3x+12 that has a y-intercept of -13 (step by step)

Mathematics

1 answer:

USPshnik [31]2 years ago

7 0

Answer:

y = -2/3x - 13

Step-by-step explanation:

The slope remains the same, but the y-intercept changes to -13

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Maggie's brother is 6 years younger than four times her age. The sum of their ages is 69.

Tomtit [17]

Answer:

Step-by-step explanation:

If Maggies age is, for example, x, we can say that her brothers age is 4x-6. We know from the problem that Maggies age (x) plus her bothers age, (4x-6) is 69. So,

4x-6+x=69

5x-6=69

5x=75

x=15

So, Maggie is 15.

6 0

2 years ago

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What is the ratio for this ? 2:25

svetoff [14.1K]

Answer:2 to 25

Step-by-step explanation:

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2 years ago

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Need help finding the area of the shaded region. Round to the nearest tenth. Need help ASAP

Sergio [31]

Answer: 294.4 m²

Step-by-step explanation:

Separate the shaded region into two parts:

The section containing the central angle of 230° (360° - 130°)
The triangle with sides 11.1, 11.1 & 20.12 (use Law of Cosines)

$1.\ Area(A)=\pi\ r^2\ \bigg(\dfrac{\theta}{360}\bigg)\\\\\\.\qquad \qquad =\pi(11.1)^2\bigg(\dfrac{230}{360}\bigg)\\\\\\.\qquad \qquad =247.3$

$2.\ \text{Use Law of cosines to find the length of the third side.}\\\text{ Then use Heron's formula to find the Area of the triangle.}\\\\s=\dfrac{11.1+11.1+20.12}{2}=21.16\\\\\\A=\sqrt{s(s-a)(s-b)(s-c)}\\\\.\ =\sqrt{21.16(21.16-11.1)(21.16-11.1)(21.16-20.12)}\\\\.\ =\sqrt{2227}\\\\.\ =47.1$

Area of shaded region = Area of (1) + Area of (2)

= 247.3 + 47.1

= 294.4

8 0

3 years ago

Read 2 more answers

List the integers that satisfy both these inequalities, 2x+9 -12

Flura [38]

Answer:

x < -10.5

Step-by-step explanation:

list the integers that satisfy both these inequalities, 2x+9 <-12

Subtract 9 from both sides;

2x +9 - 9 < -12-9

2x < -21

x < -21/2

x < -10.5

Hence all the integers are values of x less than 10.5

4 0

2 years ago

(1/2)2 = base y exponente

Vladimir [108]

Divides el (1/2) q es 2 pq 2*1=2 y después multiplicas 2*2=4 entonces la respuesta es 4 y es base creo

4 0

2 years ago