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3 years ago

How do you evaluate the following equation by distributing the negative sign?

Mathematics

1 answer:

mash [69]3 years ago

6 0

6 - (3 + 15 * 5) ...do what is in the parenthesis first
6 - (3 + 75) =
6 - 78 =
-72

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Miles had a piece of paper 1/4 of a large circle cut in three equal parts from the center point of the circle. What angle is the

telo118 [61]

The angle of 1/4 of a circle is given by:
(1/4) * (360) = 90 degrees
We now look for the angle that results from dividing 1/4 of a circle into three equal parts.
We have then:
(1/3) * (90) = 30 degrees.
Answer:
the measure of each part is:
30 degrees

6 0

3 years ago

4. Gloria the grasshopper is working on her hops.

aivan3 [116]

The path that Gloria follows when she jumped is a path of parabola.

The equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

The given parameters are:

$\mathbf{Height = 20}$

$\mathbf{Length = 28}$

<em>Assume she starts from the origin (0,0)</em>

The midpoint would be:

$\mathbf{Mid = \frac 12 \times Length}$

$\mathbf{Mid = \frac 12 \times 28}$

$\mathbf{Mid = 14}$

So, the vertex of the parabola is:

$\mathbf{Vertex = (Mid,Height)}$

Express properly as:

$\mathbf{(h,k) = (14,20)}$

A point on the graph would be:

$\mathbf{(x,y) = (28,0)}$

The equation of a parabola is calculated using:

$\mathbf{y = a(x - h)^2 + k}$

Substitute $\mathbf{(h,k) = (14,20)}$ in $\mathbf{y = a(x - h)^2 + k}$

$\mathbf{y = a(x - 14)^2 + 20}$

Substitute $\mathbf{(x,y) = (28,0)}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{0 = a(28 - 14)^2 + 20}$

$\mathbf{0 = a(14)^2 + 20}$

Collect like terms

$\mathbf{a(14)^2 =- 20}$

Solve for a

$\mathbf{a =- \frac{20}{14^2}}$

$\mathbf{a =- \frac{20}{196}}$

Simplify

$\mathbf{a =- \frac{5}{49}}$

Substitute $\mathbf{a =- \frac{5}{49}}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

Hence, the equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

See attachment for the graph

Read more about equations of parabola at:

brainly.com/question/4074088

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2 years ago

Which of the following graphs represents a quadratic equation with roots of -5 and 2.5

tiny-mole [99]

Answer:

Step-by-step explanation:

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3 years ago

Which polynomial is in standard form? A) 26x^5+12x^7-8x^3+6x

Bess [88]

It's C. In order to be in standard form you have to have all your exponents in descending order. They don't all have to be there in order, the ones that are just have to go from highest to lowest.

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3 years ago

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What is 3h^2+6h-18x as a product of two factors?? Please help,*a lot of points*

Vaselesa [24]

-3 is one of them hope this helps

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3 years ago