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3 years ago

9

Solve system by elimination -9x+7y=22 9x-5y=-26

1 answer:

alisha [4.7K]3 years ago

3 0

Answer:

The solution would be (-4, -2)

Step-by-step explanation:

To find this simply add the two equations together.

-9x+7y=22

9x-5y=-26

----------------

2y = -4

y = -2

Now we have the y value, we can solve for the x value.

9x-5y=-26

9x-5(-2)=-26

9x+10=-16

9x=-36

x = -4

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The original price is $60.The sales price is $45. What is the percent of discount?

MariettaO [177]

Hey there!

To start, first subtract 45 from 60 to find the amount of money taken off from the discount:
60-45
=15

Because 15 dollars have been taken off the original price, you can find the percent of discount by setting up this proportion where x represents the percent of discount:
15/60=x/100

Now, cross multiply and solve for x:
1500=60x
x=25

Therefore, your discount would be 25%.

Hope this helps and have a marvelous day! :)

5 0

3 years ago

Write the ratio 2/7 to 4 as a fraction in simplest form

posledela

Answer:

1/14

Step-by-step explanation:

2/7 to 4 means 2/7 to 4/1

2/7 * 1/4

= 2/28

You can simplify by dividing the numerator and denominator

which will give you 1/14

Hope this help :)

5 0

3 years ago

12. In the given figure, RS is parallel to PQ, If RS = 3 cm, PQ = 6 cm and ar(∆TRS) = 15cm³, then ar (∆TPQ) = ? (a) 70 cm² (b) 5

Gnesinka [82]

$\large\underline{\sf{Solution-}}$

Given that,

In <u>triangle TPQ, </u>

RS || PQ,

RS = 3 cm,

PQ = 6 cm,

ar(∆ TRS) = 15 sq. cm

As it is given that, <u>RS || PQ</u>

So, it means

⇛∠TRS = ∠TPQ [ Corresponding angles ]

⇛ ∠TSR = ∠TPQ [ Corresponding angles ]

$\rm\implies \: \triangle TPQ \: \sim \: \triangle TRS \: \: \: \: \: \: \{AA \}$

<u>Now, We know </u>

Area Ratio Theorem,

This theorem states that :- The ratio of the area of two similar triangles is equal to the ratio of the squares of corresponding sides.

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{ar( \triangle \: TRS)} = \dfrac{ {PQ}^{2} }{ {RS}^{2} }$

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{ {6}^{2} }{ {3}^{2} }$

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{36 }{9}$

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = 4$

$\rm\implies \:ar( \triangle \: TPQ) = 60 \: {cm}^{2}$

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2 years ago

GIVING 20 POINTS<br> If a=4 b=8 c=2 d=7 e=3 f=9 g=10<br> What does bc-c³ equal?

kozerog [31]

Answer:

8

Step-by-step explanation:

b=8

c=2

(8)(2)-(2)^3 = 16-8 =8

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3 years ago

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3 years ago