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Sedaia [141]
2 years ago
14

Simplify fully: 4d² - 6d² + 5d² and 7x + 5y - 3x - 8y

Mathematics
1 answer:
Setler [38]2 years ago
3 0
1)
<span>4d² - 6d² + 5d² =  d²(4-6+5)  = 3d²

2)</span>
<span>7x + 5y - 3x - 8y = 4x  -3y</span>

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Step-by-step explanation:

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3 years ago
a cube has edge length 10 cm. starting at the vertices dots are placed along every edge at 1cm intervals. how many dots will the
Tamiku [17]

Answer:

120 dots

Step by step explanation:

3 0
3 years ago
1.This circle is centered at the origin and contains the points two units away. Write the equation for this circle.
denis-greek [22]

Answer:

1. The location of the center of the given circle = The origin (0, 0)

The given points on the circumference of the circle = (1, √3), and (0, -2)

The general form of the equation of a circle, is presented as follows

(x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The radius of the circle

∴ (h, k) = (0, 0)

The radius of the given equation is the distance from the center (0, 0) to either the point (0, -2) or (1, √3)

The distance from the center (0, 0) to the point (0, -2), which are points on the same ordinate,  r = y₂ - y₁

∴ r =  0 - (-2) = 2

r = 2

The equation of the circle is therefore;

(x - 0)² + (y - 0)² = 2²

∴ x² + y² = 2²

2. When x = 1, and y = √3, we have;

(1 - 0)² + (√3 - 0)² = 1 + 3 = 4 = 2²

When x = 0, and y = -2, we have;

(0 - 0)² + ((-2) - 0)² = (-2)² = 4 = 2²

Therefore, the points shown on the circle (1, √3), and (0, -2) satisfy the equation of the circle, x² + y² = 2² and are solutions to the equation of the circle

Step-by-step explanation:

3 0
2 years ago
“Solve each inequality and graph its solution. Show work.”
Cloud [144]

Answer:

p or p >6

Step-by-step explanation:

Given

|-5-p| > 11

Required

Solve and graph

|-5-p| > 11

Remove absolute bracket

-5 - p > 11 or -5- p

Solve for p

-p > 11 + 5 or -p < -11 + 5

-p > 16 or -p < -6

Divide by -1

p or p >6

<em>See attachment for plot</em>

3 0
2 years ago
What is 15% of 110???????????
Gnoma [55]
16.5 is the answer :)
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3 years ago
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