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Elodia [21]
3 years ago
12

If (x+5) is a factor of 3x^2+14x+k, what is the value of k?

Mathematics
1 answer:
kherson [118]3 years ago
7 0
If (x+5) is a factor the equation will equal zero when x=-5 so

3(-5^2)+14(-5)+k=0

75-70+k=0

5+k=0

k=-5

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Find the measure of an angle between 0º and 360º coterminal with an angle of –110º in standard position
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<h2>Answer:</h2>

An angle measures how how much you have to rotate one line called <em>initial side</em> so it lies on the top of other line called the <em>terminal side. </em>Angles whose vertex is located at the origin having the initial side on the positive x-axis is said to be in standard position. On the other hand, coterminal angles are angles in standard position having the same terminal side. In this way, for the angle:

-110^{\circ} \\ \\ Its \ coterminal \ is: \\ \\ \alpha=360^{\circ}-110^{\circ}=\boxed{250^{\circ}}

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3 years ago
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7 0
3 years ago
198 sq.yd. 8 sq. ft. x 7 =
vichka [17]

Answer:

Step-by-step explanation:

Give the data

198 sq.yd × 8 sq ft ×7

Note that we have two unit of measurement which are yd and ft and 7 is just a constant

So we need to convert them,

Then, 1 yd = 3ft

Also notice that they are square.

Then square both sides of the comparison

(1 yd)² = (3 ft)²

1 sq.yd = 9 sq.ft

Then, back to our question,

198 sq.yd × 8 sq ft ×7

Let covert to ft

198 sq.yd× (9 sq.ft/1 sq.yd) ×8 sq.ft×7

sq.yd cancels out

99,792 sq.ft × sq.ft

99,792 ft⁴

Let convert to yd

198 sq.yd × 8 sq ft ×7

198 sq.yd×8 sq.ft (1 sq.yd / 9sq.ft )×7

1,232 sq.yd × sq.yd

1,232 yd⁴

4 0
3 years ago
Read 2 more answers
How do you solve (37+s)+s=375
9966 [12]
S= 169
37+s+s=375
37+2s=375
Subtract 37 from both sides
2s=338
Divide by 2 on both sides
S=169
3 0
3 years ago
Read 2 more answers
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