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2 years ago

Evaluate 2x^2-1 when x=3 A) 5 B) 17 C) 25 D) 35

Mathematics

2 answers:

natulia [17]2 years ago

8 0

Answer:

Step-by-step explanation:

gayaneshka [121]2 years ago

6 0

The answer to the question is b

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Given: m∠EYL=72°<br> Find: mEHL , mLVE

White raven [17]

Answer:

Part 1) The measure of arc EHL is $108\°$

Part 2) The measure of angle LVE is $54\°$

Step-by-step explanation:

step 1

Let

x-----> the measure of arc EHL

y----> the measure of arc EVL

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

$m$

we have

$m$

substitute

$72\°=\frac{1}{2}(y-x)$

$144\°=(y-x)$

$y=144\°+x$ ------> equation A

Remember that

$x+y=360\°$ -----> equation B ( complete circle)

substitute equation A in equation B and solve for x

$x+(144\°+x)=360\°$

$2x=360\°-144\°$

$x=216\°/2=108\°$

Find the value of y

$y=144\°+x$

$y=144\°+108\°=252\°$

therefore

The measure of arc EHL is $108\°$

The measure of arc EVL is $252\°$

step 2

Find the measure of angle LVE

we know that

The inscribed angle measures half that of the arc comprising

Let

x-----> the measure of arc EHL

$m$

we have

$x=108\°$

substitute

$m$

3 0

3 years ago

She borrows $25.63 from her sister to help pay for the dress. Then Jenny earns $16.33 helping her dad organize his home office.

Lisa [10]

Jenny will owe her $9.30

7 0

3 years ago

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In rectangle ABCD, point E lies half way between sides AB and CD and halfway between sides AD and BC. If AB=3 and BC=2, what is

Alex777 [14]

Answer:

<em>The area of the shaded region is 3.</em>

Step-by-step explanation:

Since point E lies halfway between AB and BC, the area of the shaded region (As) consists of two identical triangles with base equal to AB and height equal to half the measure of BC:

$A_s=2 * A_t$

Where At is the area of each triangle.

$\displaystyle A_t=\frac{AB*BC/2}{2}$

$\displaystyle A_t=\frac{AB*BC}{4}$

We know AB=3 and BC=2, thus:

$\displaystyle A_t=\frac{3*2}{4}=\frac{6}{4}$

Simplifying:

$\displaystyle A_t=\frac{3}{2}$

Finally:

$\displaystyle A_s=2 * \frac{3}{2}$

$A_s=3$

The area of the shaded region is 3.

Note the area of the shaded region is half the area of the rectangle.

3 0

2 years ago

15. Which of the following statements is true? a. If the calculated value of F statistic is higher than the critical value, we r

quester [9]

Answer:

c) is true

Step-by-step explanation:

Given are four statements. Let us check one by one

a) If the calculated value of F statistic is higher than the critical value, we reject the alternative hypothesis in favor of the null hypothesis

False, we reject H0 in favour or alternate

b) The F statistic is always nonnegative as SSRr is never smaller than SSRur.

F statistics is non negative but reason is bot SSRr and SSRur are positive

Not because SSRr is never smaller than SSRur

c) Degrees of freedom of a restricted model is always less than the degrees of freedom of an unrestricted model.

This is true because in a restricted we put constraints thus df will be less

d) The F statistic is more flexible than the t statistic to test a hypothesis with a single restriction.

False. F statistic is for testing variances while t statistic for means.

4 0

3 years ago

Consider the graph and equation, y = 3x, that represent Alonso’s walking speed. What relationship is represented by this equatio

Ira Lisetskai [31]

Answer:

Step-by-step explanation:

The x value represents the time and y value represents the distance

4 0

2 years ago

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