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3 years ago

12

Astronomers classified the planets into six sizes with five atmosphere types and four average temperature ranges. How many diffe

rent planet types are there?

1 answer:

Phoenix [80]3 years ago

4 0

Fire, ice, and inhabitants

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How many solutions does this system of Equations have x-2y=2 y=-2x+5

gayaneshka [121]

Answer:

One solution: x=2.4, y=0.2

Step-by-step explanation:

x-2y=2

y=-2x+5

x-2(-2x+5)=2

x+4x-10=2

5x=2+10=12

x=12:5=2.4

y=-2x+5=-2*2.4+5=-4.8+5=0.2

3 0

3 years ago

Rectangles J and K are similar. If the area of rectangle J is 440, what is the area of rectangle K? I need this today

Hunter-Best [27]

Answer:

$Area = 27.5$

Step-by-step explanation:

Given

$J_{Area} = 440$

$J_{Width} = 22$

$K_{Width} = 5.5$

<em>See attachment</em>

Required

Determine the area of K

First, we need to calculate the length of the rectangle J

$J_{Length} * J_{Width} = J_{Area}$

This gives:

$J_{Length} * 22 = 440$

Divide both sides by 22

$\frac{J_{Length} * 22}{22} = \frac{440}{22}$

$J_{Length} = 20$

So, the length of the rectangle J is 20.

Since both shapes are similar, then:

$J_{Length} : J_{Width} = K_{Length} : `K_{Width}$

Substitute the known values:

$20 : 22 = K_{Length} : `5.5$

Express as fraction:

$\frac{20 }{ 22 }= \frac{K_{Length} }{ `5.5}$

Make Length, the subject of formula

$K_{Length} = \frac{5.5 * 20}{22}$

$K_{Length} = \frac{110}{22}$

$K_{Length} = 5$

The area of K is:

$Area = K_{Length} * K_{Width$

$Area = 5.5 * 5$

$Area = 27.5$

4 0

3 years ago

Please Help ;-;

zubka84 [21]

The point-slope form:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (-8, -8) and (-7, 9). Substitute to the formula of a slope:

$m=\dfrac{9-(-8)}{-7-(-8)}=\dfrac{17}{1}=17$

Put the coordinates of the point (-7, 9) and the value of slope to the point-slope formula:

$y-9=17(x-(-7))\\\\\boxed{y-9=17(x+7)}$

6 0

3 years ago

Can anyone help me with this question please.

ExtremeBDS [4]

Answer:

see explanation

Step-by-step explanation:

∠ 1 = ∠ 4 ( corresponding angles ), then

∠ 1 = 102°

∠ 2 = ∠ 3 ( corresponding angles ), then

∠ 2 = 78°

5 0

3 years ago

Identify a possible first step using the elimination method to solve the system and then find the solution to the system. 3x + 2

valentinak56 [21]

B. multiply 1st equation by -2, solution (2,9).<span />

3 0

3 years ago

Read 2 more answers