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3 years ago

14 and 15, please :p explanation would also be appreciated!!

Mathematics

1 answer:

liraira [26]3 years ago

8 0

14. B (4, -2)
15. I am not exactly sure about this one but I would say either A or B.

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Use point-slope form to write the equation of a line that passes through the point

Ymorist [56]

Answer:

y= -2x-22.

Step-by-step explanation:

1) the slope-interception common form is y=s*x+i, where 's' and 'i' are the slope and interception, unknown numbers;

2) if x₁= -3; y₁= -16, and s=-2, then the equation of the required line can be written in the point-interception form y-y₁=s(x-x₁); ⇔ y+16= -2(x+3);

3) the required equation in slope-interception form is:

y+16= -2x-6; ⇒ y= -2x-22.

note, the provided solution is not the only and shortest way.

5 0

2 years ago

If ∠A and ∠B are supplementary and m∠A = 37°45', then m∠B = ______.

xenn [34]

Answer: 142°15'

Explanation:

Supplementary angles are angles that add up to make a straight angle ( $180^{\circ}$ ).

Therefore, we must find the angle ∠B such that

∠A + ∠B = 180° (1)

We know that ∠A = 37°45', so we can re-arrange equation (1) to find the magnitude of ∠B:

∠B = 180° - ∠A = 180° - 37°45' = 142°15'

So, the correct answer is

142°15'

6 0

3 years ago

Read 2 more answers

Which sequence represents an arithmetic sequence?

Sergio039 [100]

we know that

arithematic sequence will always have common difference

(a)

−5, −7, −10, −14, −19, …

we can see that

$d_1=-7+5=-2$

$d_2=-10+7=-3$

they are not equal

so, this is not arithematic sequence

(2)

1.5, −1.5, 1.5, −1.5, …

we can see that

$d_1=-1.5-1.5=-3$

$d_2=1.5+1.5=3$

they are not equal

so, this is not arithematic sequence

(3)

4.1, 5.1, 6.2, 7.2, …

we can see that

$d_1=5.1-4.1=1$

$d_2=6.2+5.1=1.1$

they are not equal

so, this is not arithematic sequence

(4)

−1.5, −1, −0.5, 0, …

we can see that

$d_1=-1+1.5=0.5$

$d_2=-0.5+1=0.5$

they are equal

so, this is arithematic sequence

8 0

3 years ago

nk, Inc. has 40,000 shares of stock outstanding. The company declares dividends of $120,000. What is the dividend per share of s

Angelina_Jolie [31]

To find the he dividend per share of stock,we can divide the dividends by the total amount of
share:

120000÷40000
=$3

If Tim Worker owns 45 shares of stock, his share of the declared dividends would be:

3×45
=$135

Hope it helps!

5 0

3 years ago

The solid contains a cylinder and a hemisphere. Find the volume of the composite solid. 4.4m radius and 5m height

Masja [62]

Answer:

303.95 m^3

Step-by-step explanation:

Volume = πr2h

r= 4.4

h = 5

= 3.14 × 4.4^2 × 5

= 3.14 × 19.36 × 5

= 303.95

Hence the volume is 303.95 m^3

6 0

3 years ago