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alekssr [168]
3 years ago
5

If (a+b)= -5 and ab= -150 , find a-b

Mathematics
1 answer:
yan [13]3 years ago
6 0

Answer:

(a-b) = -25

Step-by-step explanation:

(a+b) = -5

a*b=-150

So one of the letters have to be negative as you can only get a negative product from a positive and negative

There is probably a better way to do this, but I just plug in numbers that I think will work

So, (a*b) = -150, (-15*10) = -150

Okay that works so lets try the other one

(-15+10) = -5

This also works, so lets do the third one

(-15-10) = -25

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In the diagram below, the angle of depression from the top of the lighthouse to a speed boat is 27 degrees.  The base of the lig
elixir [45]

Answer:

=

412

feet

Step-by-step explanation:

The angle of depression is always measured from the horizontal.

A triangle is formed by the lighthouse, the ground and the boat. The angle of depression is not in the triangle, but it is equal to the angle of elevation at the boat. (Alternate angles on parallel lines)

The angle at the top of the lighthouse, inside the triangle is:

90°−27°

=63°

The distance to the boat is the side opposite the angle of

63°

while the height of the lighthouse is the adjacent side.

opposite

adjacent

=tan 63°

distance

210=tan 63°

distance=210×tan 63°=412 feet

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2 years ago
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Rounded to the nearest 10 as possible
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Answer:

What are we rounding?

Step-by-step explanation:

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3 years ago
What is the constant of proportionality?
nydimaria [60]

Answer:

2.5

Step-by-step explanation:

4x2.5=10

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3 years ago
Elizabeth earned a grade of 85% on her multiple-choice science final that had a total of 160 problems. How many problems on the
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Answer:

135

Step-by-step explanation: Multiply 160 by 0.85(for 85%) and you get 135

7 0
3 years ago
LMNO is a parallelogram, with and . Which statements are true about parallelogram LMNO? Select three options.
Soloha48 [4]

In the parallelogram, m∠M is equal to m∠O, and the sum of m∠M and

m∠N is 180°.

Response:

The true statements are;

  • <u>x = 11°</u>
  • <u>m∠N = 59°</u>
  • <u>m∠O = 121°</u>

<h3>Which property of parallelogram are used to find the true statements?</h3>

The possible drawing of the parallelogram LMNO created with MS Visio is attached.

From the drawing, we have;

m∠M = 11·x

m∠N = 6·x - 7

The properties of a parallelogram are;

Opposite angles are equal.

Adjacent angles are supplementary

Which gives;

11·x + 6·x - 7 = 180°

17·x = (180 + 7)° = 187°

x = \mathbf{\dfrac{187^{\circ}}{17} }= 11^{\circ}

m∠M = 11 × 11° = 121° = m∠O

m∠N = 6 × 11° - 7 = 59° = m∠L

Therefore;

The statements that are true are;

  • x = 11°
  • m∠N = 59°
  • m∠O = 121°

Learn more about the properties of a parallelogram here:

brainly.com/question/7697302

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2 years ago
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