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3 years ago

Will give Brainly please help

Mathematics

2 answers:

Lunna [17]3 years ago

6 0

Answer:

it is B) 95

Step-by-step explanation:

supplementary mean equals to 180. in a triangle problem all the angles should add up to 180. so you take 180 and subtract the number you already have which is 85 and you get 95

s2008m [1.1K]3 years ago

3 0

Answer:

B. 95º

Step-by-step explanation:

Supplementary angles are ones that add up to 180º.

So if angle 1 is 85º, then the equation would be:

(x-the measure of angle 2)

X + 85 = 180

Solve for x:

X + (85-85) = 180-85

X = 95.

Hope this helps! Have a great day!

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If the sum of the zereos of the quadratic polynomial is 3x^2-(3k-2)x-(k-6) is equal to the product of the zereos, then find k?

lys-0071 [83]

Answer:

Step-by-step explanation:

So I'm going to use vieta's formula.

Let u and v the zeros of the given quadratic in ax^2+bx+c form.

By vieta's formula:

1) u+v=-b/a

2) uv=c/a

We are also given not by the formula but by this problem:

3) u+v=uv

If we plug 1) and 2) into 3) we get:

-b/a=c/a

Multiply both sides by a:

-b=c

Here we have:

a=3

b=-(3k-2)

c=-(k-6)

So we are solving

-b=c for k:

3k-2=-(k-6)

Distribute:

3k-2=-k+6

Add k on both sides:

4k-2=6

Add 2 on both side:

4k=8

Divide both sides by 4:

k=2

Let's check:

$3x^2-(3k-2)x-(k-6) \text{ with }k=2$ :

$3x^2-(3\cdot 2-2)x-(2-6)$

$3x^2-4x+4$

I'm going to solve $3x^2-4x+4=0$ for x using the quadratic formula:

$\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\frac{4\pm \sqrt{(-4)^2-4(3)(4)}}{2(3)}$

$\frac{4\pm \sqrt{16-16(3)}}{6}$

$\frac{4\pm \sqrt{16}\sqrt{1-(3)}}{6}$

$\frac{4\pm 4\sqrt{-2}}{6}$

$\frac{2\pm 2\sqrt{-2}}{3}$

$\frac{2\pm 2i\sqrt{2}}{3}$

Let's see if uv=u+v holds.

$uv=\frac{2+2i\sqrt{2}}{3} \cdot \frac{2-2i\sqrt{2}}{3}$

Keep in mind you are multiplying conjugates:

$uv=\frac{1}{9}(4-4i^2(2))$

$uv=\frac{1}{9}(4+4(2))$

$uv=\frac{12}{9}=\frac{4}{3}$

Let's see what u+v is now:

$u+v=\frac{2+2i\sqrt{2}}{3}+\frac{2-2i\sqrt{2}}{3}$

$u+v=\frac{2}{3}+\frac{2}{3}=\frac{4}{3}$

We have confirmed uv=u+v for k=2.

4 0

3 years ago

Two brothers went shopping at a back to school sale where all shirts and shorts were the same price. The younger brother spent $

salantis [7]

Answer:

Each shirt costs 10$ cause there is a 10 $ difference between the two brothers and the only thing the older brother didn't buy was another shirt.

Have a great day. Brainliest always helps!!!

8 0

3 years ago

Suppose your friend's parents invest 15,000 in an account paying 7% compounded annually. What will the balance be after 5 year

meriva

Answer:

FV= $21,038.28

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $15,000

Interest rate (i)= 7% compounded annually

Number of periods (n)= 5

<u>To calculate the future value (FV), we need to use the following formula:</u>

FV= PV*(1 + i)^n

FV= 15,000*(1.07^5)

FV= $21,038.28

6 0

2 years ago

Pls answer quickly and lots of details

Elina [12.6K]

Answer:

=> 2.7 × 10³ × 8 × 10² / 4 × 10^-6

=> 2.7 × 8 × 10^3+2+6 /4

=> 5.4 × 10¹¹

5.4 × 10^11

8 0

3 years ago

The weight of poodles at the dog pound are 22.1 , 24.3, 25.0, 27.1 , .30.0. What is the<br>mode?

Mekhanik [1.2K]

Answer:

None

Step-by-step explanation:

Because mode is a set of data values is the value that appears most often. If there is no data value or data values that occur most frequently, we say that the set of data values has no mode.

4 0

3 years ago