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denis-greek [22]
3 years ago
9

Nine more than the product of 22 and Gordons height​

Mathematics
1 answer:
OverLord2011 [107]3 years ago
7 0

Answer:

9 + 22h

Explanation:

The question is incomplete as Gordon's height is not given. To solve further, we will represent this height with h

So, we have:

nine more than the product of 22 and Gordons\ height

More than, in this case means plus (+)

nine + the product of 22 and Gordons\ height

Rewrite nine as 9 and substitute h for Gordons height

9 + the product of 22 and h

product, in this case means multiplication (*)

9 + 22 * h

So, the expression is:

9 + 22h

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Alex
<u>Vertex</u>
y = -(x + 3)² + 1
y = -(x + 3)(x + 3) + 1
y = -(x² + 3x + 3x + 9) + 1
y = -(x² + 6x + 9) + 1
y = -x² - 6x - 9 + 1
y = -x² - 6x - 8
-x² - 6x - 8 = 0
x = <u>-(-6) +/- √((-6)² - 4(-1)(-8))</u>
                      2(-1)
x = <u>6 +/- √(36 - 32)</u>
                -2
x = <u>6 +/- √(4)
</u>           -2<u>
</u>x = <u>6 +/- 2
</u>          -2
x = <u>6 + 2</u>       x = <u>6 - 2</u>
        -2                  -2
x = <u>8</u>             x = <u>4</u>
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x = -4            x = -2
y = -x² - 6x - 8
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or
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y = -(-2)² - 6(-2) - 8
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4 0
4 years ago
Point R is at (2, 1.2) and Point T is at (2, 2.5) on a coordinate grid. The distance between the two points is
Sergeu [11.5K]
<h3>Answer:   1.3</h3>

========================================

Work Shown:

The two points we have are (x_1,y_1) = (2,1.2) and (x_2,y_2) = (2,2.5)

Apply the distance formula

d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(2-2)^2+(1.2-2.5)^2}\\\\d = \sqrt{(0)^2+(-1.3)^2}\\\\d = \sqrt{0+1.69}\\\\d = \sqrt{1.69}\\\\d = 1.3\\\\

-------------------------

A shortcut is possible by subtracting the y coordinates of the two points, and making the result positive through the use of absolute value.

So we either say

|y1-y2| = |1.2-2.5| = |-1.3| = 1.3

or,

|y2 - y1| = |2.5 - 1.2| = |1.3| = 1.3

We get the same result. This shortcut is valid because the x coordinates of both points are the same.

5 0
3 years ago
How many times do 12 go into 209?
Olenka [21]
209/12 is 17.41, so 12 goes into 209 17 times.
3 0
3 years ago
Write the expression in complete factored form.<br> Za(u+ 2) + 9(u + 2) =
pogonyaev
Zau+2Za+9u+18 (hope this helps)
3 0
3 years ago
The length of a rectangular lot is 6 feet less than 3 times its
Katen [24]

Answer:

Length = 22.98 feet

Width = 9.66 feet

Step-by-step explanation:

Let the length of the rectangle be L.

Let the width of the rectangle be W.

Given the following data;

Area of rectangle = 222 feet²

Translating the word problem into an algebraic expression, we have;

L = 3W - 6 ...... equation 1

We know that the area of a rectangle is given by the formula;

A = L * W

Substituting

222 = L * W ....equation 2

Substituting eqn 1 into eqn 2, we have;

222 = (3W - 6) * W

222 = 3W² - 6W

Rearranging the equation, we have;

3W² - 6W - 222 = 0

Next, we would use the quadratic formula to solve for the roots.

Note: the standard form of a quadratic equation is ax² + bx + c = 0

a = 3, b = -6 and c = -222

Solving the quadratic equation using the quadratic formula;

The quadratic equation formula is;

x = \frac {-b \; \pm \sqrt {b^{2} - 4ac}}{2a}

Substituting into the equation, we have;

x = \frac {-(-6) \; \pm \sqrt {6^{2} - 4*3*(-222)}}{2*3}

x = \frac {6 \pm \sqrt {36 - (-2664)}}{6}

x = \frac {6 \pm \sqrt {36 + 2664}}{6}

x = \frac {6 \pm \sqrt {2700}}{6}

x = \frac {6 \pm 51.96}{6}

x_{1} = \frac {6 + 51.96}{6}

x_{1} = \frac {57.96}{6}

x1 = 9.66

We do not need the negative value of x, so we proceed.

Therefore, Width, W = x1 = 9.66 feet

For the length;

L = 3W - 6

L = 3(9.66) - 6

L = 28.98 - 6

L = 22.98 feet

4 0
3 years ago
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