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Elan Coil [88]
3 years ago
9

Find quadratic equations with roots -5 and -2

Mathematics
2 answers:
algol133 years ago
8 0

Answer:

y=(x+5)(x+2)

Step-by-step explanation:

Intercept form of quatratics is the best way to solve this equation, since you're given the roots needed.

The intercept form equation is y=a(x-p) (x-q) [where p and q are your roots/intercepts].

So, you input the intercepts and get y=(x-(-5))(x-(-2)), so your final answer should be y=(x+5)(x+2).

Trava [24]3 years ago
7 0

Answer:

y=(x+5)(x+2)

Step-by-step explanation:

Answer:

y=(x+5)(x+2)

Step-by-step explanation:

Intercept form of quadratics is the best way to solve this equation, since you're given the roots needed.

The intercept form equation is y=a(x-p) (x-q) [where p and q are your roots/intercepts].

So, you input the intercepts and get y=(x-(-5))(x-(-2)), so your final answer should be y=(x+5)(x+2).

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If y varies directly as x and y = 12 when x = 8, find y when x = 14.
Alex17521 [72]
The direct variation between x and y may be written as,
                                    y = kx
where k is the constant of variation. From the first set of values of the variables,
                                 12 = k(8)
the value of k is 1.5. Substituting the next set to the same equation,
                                 y = 1.5(14) 
The value of y is 21. 
8 0
2 years ago
If a cone has a volume of 338 cm^3 and a radius of 6 cm, how tall is it?
Anna35 [415]

The formula for the volume of a cone is V = πr²h ÷3

You are solving for the height, h.

V = 338 cm³ and r = 6 cm

338 = π(6)²h÷3

338 = π36h÷3

338 = π12h

28.16 = πh

8.965 = h

The height of the cone is around 9 cm.

6 0
3 years ago
Quadrilateral CAMP below is a rhombus. The length of PQ is (x + 2) units, and the length of QA is
Phoenix [80]

Q cuts the diagonal PA into 2 equal halves, since the diagonals of rhombus meet at right angles.

<u>Step-by-step explanation:</u>

As given by the statement in the problem,

Q may be the middle point, which cut the diagonal PA into 2 equal halves.

In rhombus, diagonals meet at right angles.

which means that PQ = QA

x+2 = 3x - 14

Grouping the terms, we will get,

3x -x = 14+ 2

2x = 16

dividing by 2 on both sides, we will get,

x = 16/2 = 8

8+2 = 3(8) - 14 = 10 = PQ or QA

3 0
3 years ago
What is the perimeter of this triangle? 15 cm 5 cm 25 cm 10 cm
Lady_Fox [76]

Answer:

55

Step-by-step explanation:

Add 15+5+25+10 which is 55

hope this helps! :)

3 0
2 years ago
(3,-2);slope 1/3 what is the answer?
wolverine [178]

Answer:

y = \frac{1}{3} x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = \frac{1}{3} , then

y = \frac{1}{3} x + c ← is the partial equation

To find c substitute (3, - 2) into the partial equation

- 2 = 1 + c ⇒ c = - 2 - 1 = - 3

y = \frac{1}{3} x - 3 ← equation of line

5 0
2 years ago
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