All categories

3 years ago

Write the quadratic equation whose roots are -5 -4 and whose leading coefficient is 4

Mathematics

1 answer:

vfiekz [6]3 years ago

4 0

Answer:

y = 4x² + 36x + 80

Step-by-step explanation:

Since the roots are x = - 5 and x = - 4 then the factors are

(x + 5) and (x + 4)

The equation is the product of the factors

y = (x + 5)(x + 4) and with leading coefficient of 4 is

y = 4(x + 5)(x + 4) ← expand factors

= 4(x² + 9x + 20)

= 4x² + 36x + 80

You might be interested in

Some help would be greatly appreciated

marusya05 [52]

I think it might be the second option

6 0

3 years ago

Need help will give brainlist

allsm [11]

Answer:

3rd option

Step-by-step explanation:

- 1 ( $\frac{3x}{2y}$ )

- 1 is multiplying the complere fraction , not just 1 part of it , so

= - $\frac{3x}{2y}$

5 0

2 years ago

Last year Chesa made 32 one-cup servings of soup for a school party this year she will make two times the amount of soup that sh

bogdanovich [222]

So she made 32 cups last year...she made 2 times as much this year...so she made 2(32) = 64 cups this year.

1 gallon = 16 cups
64/16 = 4 gallons
The answer is Chesa made 4 gallons of soup

6 0

3 years ago

PU 15 cm<br> 0<br> 162<br> 1. Find the arc length of PQR.

Ad libitum [116K]

It isn’t really clear to me it’s confusing

4 0

3 years ago

In ΔLMN, n = 510 cm, l = 820 cm and ∠M=20°. Find ∠L, to the nearest degree

Dafna11 [192]

The angular measure L is : 47°

<h3>What are angles?</h3>

Angles are formed when two lines meet.

Analysis:

Firstly, we calculate for m using cosine rule.

$m^{2}$ = $510^{2}$ + $820^{2}$ -2(510)(820) cos 20

$m^{2}$ = 260100 + 672400 -83600(0.9396)

$m^{2}$ = 146618.56

m = $\sqrt{146618.56}$ = 382.9cm

using sine rule to find ∠L

382.9/sin20 = 820/sinL

sinL = 820sin20/382.9

sinL = 820(0.342)/382.9

sinL = 0.732

L = sin inverse of 0.732 = 47°

In conclusion, ∠L is 47°

Learn more about sine and cosine rule: brainly.com/question/4372174

#SPJ1

8 0

2 years ago