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Debora [2.8K]
3 years ago
14

Which of the following is equivalent to the expression (3ab)(-5ab)?

Mathematics
1 answer:
Scilla [17]3 years ago
6 0
-15a^{2}b^{2}
You might be interested in
A man drove 5 miles directly east from his home, made a left turn at an intersection, and then traveled 11 miles duc north to hi
lubasha [3.4K]
Answer: About 12.083



Explanation:
In order to solve this you would use Pythagorean theorem.

You are given the length of the two legs (5 and 11)

So by plugging in 5 and 11 into A Squared plus B Squared = C Squared, you get that C^2= 146.

By finding the square root of both sides you get square root of 146, which is approximately 12.803

5 0
3 years ago
What is the value of B for the following triangular prism?
damaskus [11]

Step-by-step explanation:

\frac{1}{2} (10)(12) \\  \frac{1}{2} (120) \\ 60 {cm}^{2}

6 0
3 years ago
There is a line whose y-intercept is 5 and whose slope is 1. What is its equation in
Mkey [24]

Answer:

y = x + 5

Step-by-step explanation:

y = mx + b

m -> slope ; m = 1

b -> y-intercept ; b = 5

y = 1x + 5

3 0
3 years ago
In ∆MNP, m∠N = 90º, NH – altitude, m∠P = 21º, PM = 4 cm. Find MH.
Sveta_85 [38]

Answer:

0.51 cm

Step-by-step explanation:

In right triangle MNP, MP = 4 cm, m∠N = 90°, m∠P = 21°

By the sine definition,

\sin \angle P=\dfrac{\text{Opposite leg}}{\text{Hypotenuse}}=\dfrac{MN}{MP}\\ \\MN=MP\sin \angle P\\ \\MN=4\sin 21^{\circ}\approx 1.43\ cm

Now, consider right triangle HMN (it is right because NH is an altitude). By the cosine definition,

\cos \angle M=\dfrac{\text{Adjacent leg}}{\text{Hypotenuse}}=\dfrac{MH}{MN}\\ \\MH=MN\cos \angle M

In the right triangle, two acute angles are always complementary, so

m\angle M=90^{\circ}-m\angle P=90^{\circ}-21^{\circ}=69^{\circ}

Thus,

MH=1.43\cos 69^{\circ}\approx 0.51\ cm

7 0
3 years ago
The sum of twice a number and 8 is 44. what's the number? show your work.
mezya [45]

Answer:

18

Step-by-step explanation:

We can work backwards with this and take 44-8=36

Then we divide it by two and thats 18

3 0
3 years ago
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