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2 years ago

Write a quadratic equation in standard form with roots -2 and -5

1 answer:

7 0

To solve this problem. First lets work our way backwards and try to figure out the binomials that will result in these roots.

-2 root = X int = -2
Thus it would be (X +2) because if you solve for x the solution or X intercept is -2.
Same thing for -5.
(X+5).

Next place them together and multiply or foil to obtain the quadratic.

Y = (X+5)(X+2)
Y = X^2 + 7x + 10

Standard form = Ax^2 +/- Bx +/- C = 0.

The standard form is X^2 + 7x + 10.

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Please answer this in two minutes

Ipatiy [6.2K]

Answer: 9.9

Step-by-step explanation:

SINE RULE:

7/sin(31) = q / sin(47)

Therefore q = 7 / sin(31) * sin(47)

which equals: 9.9 to the nearest tenth.

7 0

3 years ago

Read 2 more answers

One side of a square is 3x + 2. Which expression represents the perimeter?

valina [46]

Perimeter = 4*(3*x+2) = 12*x +8

So 12x +8 is the answer.

4 0

3 years ago

If PQR is a triangle,given that /PQ\=15m, /QR\=17m and /RP\=18m.Find the area of the triangle to the nearest whole number.

nydimaria [60]

Answer:

118.3 m²

Step-by-step explanation:

Step 1. Calculate the semiperimeter (s).

s = (p + q + r)/2

s = (17 + 18+ 15)/2

s = 50/2

s = 25 m

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

Step 2. Calculate the area (A).

Use Heron’s formula:

$A = \sqrt{s(s-p)(s-q)(s-r)}$

$A = \sqrt{25(25-17)(25-18)(25-15)}$

$A = \sqrt{25\times8\times7\times10}$

$A = \sqrt{14 000}$

$A = 20\sqrt{35}$

A = 118.3 m²

3 0

2 years ago

Rodolfo and Aarron are having a turtle race. Rodolfo's turtle reached the finish line, while Aarron's turtle crawled 4/6 out of

Viktor [21]

Answer:

(a) See attachment for number line

(b) 1/3 of the total distance is left

Step-by-step explanation:

Given

Let A represent Aarron's turtle and R represents Rodolfo's turtle.

From the question

$A = \frac{4}{6}$ --- Position

R = Finished the race

Solving (a): Number line showing their positions

Because R finished the race, its position will be at the end of the number line

While

A's position will be at 4/6th position

Let the interval of the number line be 6.

$A = \frac{4}{6} * 6$

$A = 4$

$R = \frac{6}{6} *6$

$R = 6$

See attachment for number line

Solving (b): What's left of A's distance

The distance left will be calculated using

$Distance = 1 - \frac{4}{6}$

$Distance = \frac{6 - 4}{6}$

$Distance = \frac{2}{6}$

$Distance = \frac{1}{3}$

Hence, 1/3 of the total distance is left

4 0

2 years ago

Read 2 more answers

I'm really stuck on this hard system of equations: A+B+C = 2, AB+BC+AC = -11, and ABC = -12. Can anyone show me how to solve thi

Andreas93 [3]

Oh boy. I don't know how to solve this off the top of my head so this answer may ramble a bit as I figure it out as I go along.

At least two numbers have to be close in value, one positive and one negative, in order for a+b+c to be true

Let's see, ABC=-12

If one letter was 4, 1, and -3 they would add to 2 and multiply to -12. I got these by just trying a bunch of combinations.

I'm pretty sure these are the right numbers, but which is which we need the AB+BC+AC formula to figure out.

IF: a=4 b=1 c=-3
4 -3 -12 = -11. Wow, first try, for reals!

A equals 4. B=1. C=-3

Would other combinations work?
a=1 b=-3 c=4
-3 + -12 + 4 = -11

Yes, other combinations work as well. Well, you have your numbers and two ways they can go. Hope this helps!

8 0

3 years ago