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3 years ago

5

How do you determine whether to use substitution or elimination. give an example of a system that you would solve using each met

hod?

1 answer:

nadezda [96]3 years ago

3 0

You determine which one to use by seeing which one would be easier

elimination: 5x + 7y = 2
-5x + 6y = 6

substitution: y = 9x + 5
2y = 7x + 2

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It takes Christy 1.5 hours to clean the garage. It takes the kids 2 hours to clean the same garage. If they all clean together,

Alborosie

Christy c = 90 min

kids k = 120 min

total time t = ?

I would do : 90+120 = 210 then divide that by 2 which equals 105 min

6 0

3 years ago

Identify the y-intercept of the graph of 3x + y = 6

Gelneren [198K]

Answer:

The x-intercept is the place where the line crosses the x-axis. In other words, y=0. The y-intercept is (0,6).

Step-by-step explanation:

3x+y=6

3(0)+y=6

0+y=6

y=6

8 0

2 years ago

A circle with center (4 -3) contain the point (9,-3). what is an equation of the circle

torisob [31]

Answer:

$\large\boxed{(x-4)^2+(y+3)^2=25}$

Step-by-step explanation:

The equation of a circle:

$(x-h)^2+(y-k)^2=r^2$

(h, k) - center

r - radius

We have the center (4, -3) and the point on the circle (9, -3).

The length of radius is equal to the distance between a center and an any point on a circle.

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Susbtitute:

$r=\sqrt{(9-4)^2+(-3-(-3))^2}=\sqrt{5^2+0^2}=\sqrt{5^2}=5$

The center (4, -3) → h = 4, k = -3.

Finally we have:

$(x-4)^2+(y-(-3))^2=5^2\\\\(x-4)^2+(y+3)^2=25$

4 0

3 years ago

The diameter of a round rug is 42 inches. What is the approximate area of the rug?

bekas [8.4K]

Answer:

441 $\pi$ inches squared i think

Step-by-step explanation:

radius = 42/2 = 21 inches

area = $\pi$ x $(21)^{2}$

area = 441 $\pi$

area = 1385.44236

4 0

3 years ago

Please help with this geometry question too.

musickatia [10]

Answer:

V = 1250π/3 mm³

V = 1309 mm³

Step-by-step explanation:

The composite figure is made up of a cylinder with radius 5 mm and two hemispheres of radius 5 mm. The height of the cylinder is

20 mm - 5 mm - 5 mm = 10 mm

The two hemispheres make up a full sphere of radius 5 mm.

V = πr²h + (4/3)πr³

V = π(5 mm)²(10 mm) + (4/3)π(5 mm)³

V = [(25 mm²)(10 mm) + (4/3)(125 mm)³]π

V = [250 mm³ + 500/3 mm³]π

V = 1250π/3 mm³

V = 1309 mm³

3 0

3 years ago