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4 years ago

PLZ HELP ME WITH GEOMETRY

Mathematics

1 answer:

Aloiza [94]4 years ago

7 0

B a counterclockwise rotation about the origin of 90°

under a counterclockwise rotation about the origin

a point ( x , y ) → (- y, x)

figure Q to figure Q'

( 4,2 ) → (- 2, 4 )

(7, 5 ) → (- 5, 7 )

(3, 7 ) → (- 7 , 3 )

(2, 4 ) → (- 4, 2 )

(5, 4 ) → (- 4, 5 )

the coordinates of the original points of the vertices of Q map to the corresponding points on the image Q'

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A/2+5>4 PLS HELP I WILL GIVE BRAINLY IF YOU'RE CORRECT

UNO [17]

Step-by-step explanation:

a/2+5>4

a=4

4 divided by 2 = 2

2+5=7

7>4

7 0

3 years ago

Read 2 more answers

The odds against the U.S women's soccer team winning the World Cup are 7 to 5, what is the probability that they will win the Wo

serious [3.7K]

I am guessing 7/5= 1.4 = 140 percent

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3 years ago

Read 2 more answers

Find the polynomial of minimum degree, with real coefficients, zeros at x=4±2⋅i and x=−8, and y-intercept at −480. Write your an

valkas [14]

Answer:

The polynomial of minimum degree is $p(x) = x^{4}-3\cdot x^{3}-44\cdot x^{2}+292\cdot x-480$ .

Step-by-step explanation:

According to the statement, we appreciate that polynomial pass through the following points:

(i) $(4 + 2\,i,0)$ , (ii) $(4 - 2\,i, 0)$ , (iii) $(-8, 0)$ , (iv) $(0, -480)$

From Algebra we know that any n-th grade polynomial can be constructed by knowing n+1 different points. Hence, the polynomial of minimum degree is a quartic function. The polynomial has the following form:

$p(x) = (x-4-2\,i)\cdot (x-4+2\,i)\cdot (x+8)\cdot (x-r_{1})$

We proceed to expand the expression until standard form is obtained:

$p(x) = (x^{2}-4\cdot x-2\,i\cdot x-4\cdot x +16+8\,i+2\,i\cdot x-8\,i+4)\cdot (x+8)\cdot (x-r_{1})$

$p(x) = (x^{2}-8\cdot x+20)\cdot (x+8)\cdot (x-r_{1})$

$p(x) = (x^{3}-8\cdot x^{2}+20\cdot x +8\cdot x^{2}-64\cdot x+160)\cdot (x-r_{1})$

$p(x) = (x^{3}-44\cdot x +160)\cdot (x-r_{1})$

If we know that $p (0) = -480$ , then:

$-480=160\cdot (-r_{1})$

$-160\cdot r_{1} = -480$

$r_{1} = 3$

Then, the polynomial is:

$p(x) = (x^{3}-44\cdot x +160)\cdot (x-3)$

$p(x) = x^{4}-44\cdot x^{2}+160\cdot x-3\cdot x^{3}+132\cdot x -480$

$p(x) = x^{4}-3\cdot x^{3}-44\cdot x^{2}+292\cdot x-480$

The polynomial of minimum degree is $p(x) = x^{4}-3\cdot x^{3}-44\cdot x^{2}+292\cdot x-480$ .

5 0

3 years ago

The total score in a football game was 31 points.

Alisiya [41]

Answer:

Step-by-step explanation:

First we need to create an equation. We’ll say the losing team scored x points. If the winning team scored 19 more, they would have x + 19 points. We know the total is 31 points, so we end up with x + x + 19 = 31, or 2x + 19 = 31. Subtract 19 from both sides to get 2x = 12. Divide both sides by 2, and get x = 6. To find out how much the winning team scored, which we know is x + 19, put 6 in for x and get 25.

6 0

2 years ago

According to the National Institute of Health, about 37% of high school seniors have vaped in the past year. Suppose that a surv

Elodia [21]

Using the Central Limit Theorem, it is found that the mean of the sampling distribution of sample proportions is 0.37.

The Central Limit Theorem establishes that, for a proportion p in a sample of size n, the sampling distribution of sample proportions has:

Mean $\mu = p$ .

Standard error $s = \sqrt{\frac{p(1 - p)}{n}}$

For this problem, about 37% of high school seniors have vaped in the past year, hence $p = 0.37$ .

Then, the mean of the sampling distribution of sample proportions is 0.37.

For more on the Central Limit Theorem, you can check brainly.com/question/4086221

8 0

3 years ago