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SOVA2 [1]
3 years ago
5

Use long division to find the quotient below.

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
5 0
X^3+3x^2-18x-3x^2-9x+54
————-
Final answer=

X^3-27x+54


I hope you understand my explanation and best of wishes!!
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Name
sladkih [1.3K]
Slope formula: (y2 - y1/x2 - x1)

Substitute

(9 - 17/-1 - 3) = 2
8 0
3 years ago
Will u help me?
sergey [27]

Answer:

Charles practiced for the relay race for D. 9 hours last week.

Step-by-step explanation:

First, I would find the ratios the ratios for converting hurdle to javelin and javelin to relay.

Hurdle : Javelin ; 5 : 1.5

Javelin : Relay ; 2.5 : 5 or  1 : 2

Next, find the factors compared to the original numbers for hurdle to javelin.

15 / 5 = 3

To find the amount of javelin time they did, multiply 1.5 by the factor we got, 3.

1.5 * 3 = 4.5

Finally, double 4.5, since Charles does twice as much relay than he does javelin.

4.5 * 2 = 9 hours

3 0
3 years ago
In baseball, the length of the path between each pair of consecutive bases is 90 feet. The paths form right angles. How far does
Tresset [83]
This question boils down to this:
"What is the diagonal of a square with a side length of 90 ft?"

The key to this question is the properties of squares.
All of the angles in a square are right, (90°) but that diagonal is going to bisect two of those into 45° angles.
Now we have two triangles, each with angle measures of 45°, 45°. and 90°.
(an isoceles right triangle)

This 45-45-90 tirnalge is one of two special triangles (the other being the 30-60-90) and here is its special property: the sides opposite these angles can be put as x, x, and x√2 respectively. Why? Well, we know that our triangle is isoceles (the congruent base angles ⇔ congruent sides) and so we call those x...by the Pythagorean theorem...a² + b² = c²...2x² = c²...x√2 = c!

In our case here, that diagonal, being the hypotenuse of our triangle, is going to be 90√2 feet, or approximately 127.3 feet.
6 0
3 years ago
Find the sum of first 15 terms of an AP whose 4th and 9th t terms are -15 and -30 respectively.
Serga [27]

Answer:

Sum of the first 15 terms = -405

Step-by-step explanation:

a + 3d = -15 (1)

a + 8d = -30 (2)

Where,

a = first term

d = common difference

n = number of terms

Subtract (1) from (1)

8d - 3d = -30 - (-15)

5d = -30 + 15

5d = -15

d = -15/5

= -3

d = -3

Substitute d = -3 into (1)

a + 3d = -15

a + 3(-3) = -15

a - 9 = -15

a = -15 + 9

a = -6

Sum of the first 15 terms

S = n/2[2a + (n − 1) × d]

= 15/2 {2×-6 + (15-1)-3}

= 7.5{-12 + (14)-3}

= 7.5{ -12 - 42}

= 7.5{-54}

= -405

Sum of the first 15 terms = -405

7 0
3 years ago
Hi, I'm confused about how to write a system of equations to model this word problem
Elan Coil [88]

Answer:

Step-by-step explanation:

I say seven...

8 0
3 years ago
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