All categories

2 years ago

Solve the system by linear combination. Show all your work. 9x+5y=35 -2x-5y=0

Mathematics

1 answer:

mars1129 [50]2 years ago

5 0

Answer:

(5, - 2 )

Step-by-step explanation:

Given the 2 equations

9x + 5y = 35 → (1)

- 2x - 5y = 0 → (2)

Adding the 2 equations term by term will eliminate the y- term

7x = 35 ( divide both sides by 7 )

x = 5

Substitute x = 5 into either of the 2 equations for value of y

Substituting in (1) gives

9(5) + 5y = 35

45 + 5y = 35 ( subtract 45 from both sides )

5y = - 10 ( divide both sides by 5 )

y = - 2

Solution is (5, - 2 )

You might be interested in

Please help thank you 5th grade math

Juliette [100K]

14. The answer is hundred-thousandths. The 2 is in the tenths place, the 0 is in the hundredths place, and then 5 is in the hundred thousandths place, etc etc.

15. The quarter and the penny. Like I said above, the hundredth’s place is the second number after the decimal.

Hope this helps xx

3 0

2 years ago

In a recent year, the population of California was about 2.52 x 10^7 people. Its land area is about 4.05 x 10^5 km^2. What was t

andrezito [222]

The population of California = $2.52 \times 10^7$ people.

Land area of California = $4.05 \times 10^5km^2$ .

We have to determine the average number of people per square kilometer.

Average number of people per square kilometer =

Land area of California $\div$ Population of California

= $4.05 \times 10^5 \div 2.52 \times 10^7$

= $1.6 \times 10^{-2}$

Therefore, the average number of people per square kilometer is $1.6 \times 10^{-2}$ .

It is represented in scientific notation as Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.

4 0

2 years ago

Help me guys thx so much

navik [9.2K]

Answer:

Option D, $10x^4\sqrt{6} +x^3\sqrt{30x} -10x^4\sqrt{3} -x^3\sqrt{15x}$

Step-by-step explanation:

Step 1: Multiply

$(\sqrt{10x^4} -x\sqrt{5x^2} )*(2\sqrt{15x^4} + \sqrt{3x^3})\\ (\sqrt{10 * x^2 * x^2} -x\sqrt{5 * x^2} ) * (2\sqrt{15 * x^2 * x^2} +\sqrt{3 * x^2 * x})\\(x^2\sqrt{10} -x^2\sqrt{5} )*(2x^2\sqrt{15} +x\sqrt{3x}) \\\\$

$(x^2\sqrt{10}*2x^2\sqrt{15} )+(x^2\sqrt{10}*x\sqrt{3x} ) + (-x^2\sqrt{5} *2x^2\sqrt{15}) + (-x^2\sqrt{5} *x\sqrt{3x}$

$(2x^4\sqrt{150} ) + (x^3\sqrt{30x}) + (-2x^4\sqrt{75}) + (-x^3\sqrt{15x} )$

$2x^4\sqrt{5^2*6} + x^3\sqrt{30x} -2x^4\sqrt{5^2*3} -x^3\sqrt{15x}$

$10x^4\sqrt{6} +x^3\sqrt{30x} -10x^4\sqrt{3} -x^3\sqrt{15x}$

Answer: Option D, $10x^4\sqrt{6} +x^3\sqrt{30x} -10x^4\sqrt{3} -x^3\sqrt{15x}$

6 0

3 years ago

Read 2 more answers

In a right triangle, CosA=0.352 and SinA=0.936 What is the approximate value of tanA?

mr_godi [17]

$\tan A=\frac{\sin A}{\cos A}$

Proof: $\sin\div\cos=\frac{o}h\div\frac{a}h=\frac{o}h\times\frac{h}a=\frac{oh}{ha}=\frac{o}a=\tan$

$\cos A=0.352,\ \sin A=0.936$

$\tan A=\frac{0.936}{0.352}$

$\boxed{\tan A=2.65\overline{90}}$ (round as needed)

6 0

3 years ago

Read 2 more answers

PLS HELP ME ASAP FOR 12 and 13!!! (SHOW WORK FOR BOTH!!!) + LOTS KF POINTS!!

pychu [463]

12.
Distribute the negative
2x - 5 - 9y + 8 + 16y
Simplify
2x + 7y + 3

13.
Square is 4 sides, all sides are equal
4 ( 4x + 3)
16x + 12

Please mark Brainliest if it helped.

8 0

2 years ago