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3 years ago

9

Name the angle relationship. Find the measure of angle b.

1 answer:

Sholpan [36]3 years ago

7 0

Answer:

supplementary , or linear pair 158

Step-by-step explanation:

The two angles are supplementary angles since they form a straight line

b+22 = 180

b = 180-22

b = 158

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A ball is thrown into the air. The path it takes is modeled by the equation: -3t+24t = h, where t is the time in seconds and h i

astra-53 [7]

Given:

The given equation is:

$-3t^2+24t=h$

Where, t is the time in seconds and h is the height of the ball above the ground, measured in feet.

To find:

The inequality to model when the height of the ball is at least 36 feet above the ground. Then find time taken by ball to reach at or above 36 feet.

Solution:

We have,

$-3t^2+24t=h$

The height of the ball is at least 36 feet above the ground. It means $h\geq 36$ .

$-3t^2+24t\geq 36$

$-3t^2+24t-36\geq 0$

$-3(t^2-8t+12)\geq 0$

Splitting the middle term, we get

$-3(t^2-6t-2t+12)\geq 0$

$-3(t(t-6)-2(t-6))\geq 0$

$-3(t-2)(t-6)\geq 0$

The critical points are:

$-3(t-2)(t-6)=0$

$t=2,6$

These two points divide the number line in 3 intervals $(-\infty,2),(2,6),(6,\infty)$ .

Intervals Check point $-3(t-2)(t-6)\geq 0$ Result

$(-\infty,2)$ 0 $(-)(-)(-)=(-)$ False

$(2,6)$ 4 $(-)(+)(-)=+>0$ True

$(6,\infty)$ 8 $(-)(+)(+)=(-)$ False

The inequality is true for (2,6) and the sign of inequality is $\geq$ . So, the ball is above 36 feet between 2 to 6 seconds.

$6-2=4$

Therefore, the required inequality is $-3t^2+24t\geq 36$ and the ball is 36 feet above for 4 seconds.

3 0

3 years ago

Which expression is equivalent to

miss Akunina [59]

D. 41x + 11y
You add the like terms so the 23 and 18 to equal 41

7 0

3 years ago

Read 2 more answers

Use the table to find the residual points. A 4-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4,

Readme [11.4K]

Answer:

What is the change for each consecutive input?

✔ 1

What is the change for each consecutive output?

✔ 0.35

What is the rate of change for the relationship?

✔ 0.35

Step-by-step explanation:

The change for each input is 1 beacause the inputs are 10,11,12,13

The change for each consecutive output is 0.35 beacuse we need to subtract 4.1 from 3.75

The rate of change for the relationship is also 0.35

8 0

4 years ago

The vertex of this parabola is at (-5, -2). When the x-value is -4, the y-value is 2. What is the coefficient of the squared exp

VARVARA [1.3K]

V(-5;-2)
$f(x)=a(x+5)^2-2$

$x=-4$ . $y=2$

$2=a(-4+5)^2-2$
$2=a*1-2$
$2=a-2$
$a=4$

The answer: B
_____________________
Greetings from Poland :)

6 0

3 years ago

How do you find a polynomial and factor it completely?

natulia [17]

a² + 10a + 16

Find two numbers whose product equals 16 and sum equals 10:

<u>Product = 16</u> <u>Sum = 10</u>

1 * 16 1 + 16 = 17 <em>doesn't work</em>

2 * 8 2 + 8 = 10 THIS WORKS!

4 * 4 4 + 4 = 8 <em>doesn't work</em>

Since 2 & 8 satisfy our requirements, those are the values that go into the parentheses.

Answer: (a + 2)(a + 8)

Note: when there is a coefficient for a², a different method is used to find the factors.

6 0

3 years ago