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2 years ago

What is the answer to the question

Mathematics

2 answers:

Scilla [17]2 years ago

7 0

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Question 3 (1 point) Find the area of the triangle. 26 in 26 in 26 in

MAXImum [283]

Formula of the area of a triangle:

A = hbb/2

Plug in the numbers.

26 · 26/2

= 338

Therefore, the area of the triangle is 338

5 0

3 years ago

Find the slope of the line passing through the points (-8,-8) and (6,-8)

Anna11 [10]

Answer:

Slope = 0

So, the line is parallel to x-axis

Step-by-step explanation:

(x₁ , y₁) = (-8, -8) & (x₂ ,y₂) = (6 , -8)

$Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\=\frac{-8-[-8]}{6-[-8]}\\\\=\frac{-8+8}{6+8}\\\\= 0$

4 0

2 years ago

If the squared difference of the zeroes of the quadratic polynomial x2+kx+30 is equal to 169 find the value of k and the zeroes

anyanavicka [17]

ANSWER

$x = 2 \: \: or \: \: x = 15$

$x = - 2 \: \: or \: \: x = - 15$

EXPLANATION

The given polynomial is

$f(x) = {x}^{2} + kx + 30$

where a=1,b=k, c=30

Let the zeroes of this polynomial be m and n.

Then the sum of roots is

$m + n = - \frac{b}{a} = -k$

and the product of roots is

$mn = \frac{c}{a} = 30$

The square difference of the zeroes is given by the expression.

$( {m - n})^{2} = {(m + n)}^{2} - 4mn$

From the question, this difference is 169.

This implies that:

$( { - k)}^{2} - 4(30) = 169$

${ k}^{2} -120= 169$

$k^{2} = 289$

$k= \pm \sqrt{289}$

$k= \pm17$

We substitute the values of k into the equation and solve for x.

$f(x) = {x}^{2} \pm17x + 30$

$f(x) = (x \pm2)(x \pm 15)$

The zeroes are given by;

$(x \pm2)(x \pm 15) = 0$

$x = \pm2 \: \: or \: \: x = \pm 15$

5 0

3 years ago

60 POINTS BRAINLIES

MaRussiya [10]

Answer:

see below

Step-by-step explanation:

a) median : re-arranged the numbers in order. i.e. min to max

gold: 147 , 147 , 175 , 206 , 212 , 227 , 263 , 275 , 440 , 1022

212 + 227 = 219.50

silver: 147 , 163 , 165 , 170 , 178 , 241 , 295 , 313 , 357 , 794

178 + 241 = 209.50

bronze: 151 , 169 , 179 , 187 , 193 , 260 , 289 , 325 , 349 , 704

193 + 260 = 226.50

b) mean : sum of all numbers divide by n, where n=10

gold: = (147 , 147 , 175 , 206 , 212 , 227 , 263 , 275 , 440 , 1022 ) / 10

= 311.40

silver: = (147 , 163 , 165 , 170 , 178 , 241 , 295 , 313 , 357 , 794 ) / 10

= 282.30

bronze: = (151 , 169 , 179 , 187 , 193 , 260 , 289 , 325 , 349 , 704 ) / 10

= 280.60

c) standard deviation on population (STDEV.P)

Australia = 16.44

china = 33.03

france = 19.74

germany = 30.21

great britain = 13.89

hungary = 12.04

italy = 11.44

soviet union = 48.46

sweden = 13.47

united states = 133.84

6 0

3 years ago

Which description is paired with its correct expression?

a_sh-v [17]

Answer:

Step-by-step explanation:

Hi there! You’re correct.

Twice the difference of nine and a number squared would look like

$2(9-n^2)$

I hope this helped! :)

7 0

2 years ago