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Natalija [7]
3 years ago
9

Solve the following system using substitution x − 5 y = 32 2 x − 9 y = 57

Mathematics
2 answers:
suter [353]3 years ago
8 0

Answer:

X = -3

Y = -7

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Ratling [72]3 years ago
6 0

Answer:

x= - 3 and y= - 7

Step-by-step explanation:

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HELP PLZZ will give brainliest <3
melisa1 [442]

Answer:

0

1

Step-by-step explanation:

First question:

You are given a side, a, and its opposite angle, A. You are also given side b. Use that in the law of sines and solve for the other angle, B.

\dfrac{a}{\sin A} = \dfrac{b}{\sin B}

\dfrac{10}{\sin 30^\circ} = \dfrac{40}{\sin B}

\dfrac{1}{0.5} = \dfrac{4}{\sin B}

\sin B = 2

The sine function can never equal 2, so there is no triangle in this case.

Answer: no triangle

Second question:

You are given a side, b, and its opposite angle, B. You are also given side c. Use that in the law of sines and solve for the other angle, C.

\dfrac{b}{\sin B} = \dfrac{c}{\sin C}

\dfrac{10}{\sin 63^\circ} = \dfrac{}{\sin C}

\sin C = \dfrac{8.9\sin 63^\circ}{10}

C = \sin^{-1} \dfrac{8.9\sin 63^\circ}{10}

C \approx 52.5^\circ

One triangle exists for sure. Now we see if there is a second one.

Now we look at the supplement of angle C.

m<C = 52.5°

supplement of angle C: m<C' = 180° - 52.5° = 127.5°

We add the measures of angles B and the supplement of angle C:

m<B + m<C' = 63° + 127.5° = 190.5°

Since the sum of the measures of these two angles is already more than 180°, the supplement of angle C cannot be an angle of the triangle.

Answer: one triangle

3 0
4 years ago
Find the area of this right triangle <br> someone help me please
Aneli [31]

Answer:

54 sq ft

Step-by-step explanation:

Area of a triangle is given by :

Area = (1/2) x base x height

in our case, if we assume the base of the right triangle to be 12 feet, then the height is 9 feet

Substituting this into our equation

Area = (1/2) x 12 x 9

Area = 54 sq ft

8 0
3 years ago
Read 2 more answers
A truck that can carry no more than 6600 lbs is being used to transport refrigerators and upright pianos. each refrigerator weig
ZanzabumX [31]

Answer:

(a). 300r + 425p ≤ 6,600

(b). No, it’s not considered overweight

Step-by-step explanation:

In this question, we are to write an equation that shows the number of refrigerators and pianos the truck could carry.

Let the number of refrigerators be r and the number of pianos be p

By using their individual weights, the equation is as follows;

300r + 425p ≤ 6,600

To the second question, we want to consider if 10 refrigerators and 8 pianos are overload.

To get this, we simply multiply the number of each by their individual weights;

That would be;

300(10) + 425(8) = 3000 + 3,400 = 6,400 lbs

This is not considered overweight as it is less than 6,600 lbs

6 0
4 years ago
Factors of -49 and add up to 14
Salsk061 [2.6K]

1,2,7,14 would be your answer :)

7 0
4 years ago
6x + 5x + 2y <br> 11x + 2y <br> 13xy <br> Explain what is incorrect in the problem above?
weqwewe [10]

Answer:

Step-by-step explanation:

6x +5x +2y and what i did is that i simplify and i got

11x + 2y

The expression is not factorable with rational numbers.

the thing is you can't go any farther than that

8 0
3 years ago
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