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konstantin123 [22]
3 years ago
12

Which value of x satisfies both -9x + 4y = 8 and -3x − y = 4?

Mathematics
1 answer:
Gekata [30.6K]3 years ago
7 0
Cancel y values
multiply 2nd equation by 4 and add to first

-9x+4y=8
<u>-12x-4y=16 +</u>
-21x+0y=24

-21x=24
divide both sides by -21
x=24/-21
x=-8/7

C is answer
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Please help with this qn :)
zepelin [54]

Answer:

4 is the length

Step-by-step explanation:

14 and 4

14 x 14 + 4 x 4 = 212

14 + 4 = 18

7 0
2 years ago
Find the equation (in standard form) whose center is (5, -3) and goes through (2, 5).
yanalaym [24]
We can write this as

(x - 5)^2 + (y + 3)^2 = r^2

where r = radius

Plugging in the point (2,5) we have

(2-5)^2 + (5+3)^2 = r^2
r^2 =  9 + 64 = 73
so the required equation is

(x - 5)^2 + (y + 3)^2 = 73
3 0
3 years ago
Jane wants to save money to buy a motorcycle. She invests in an ordinary annuity that earns 4.2% interest, compounded quarterly.
Sauron [17]

Answer:

she need to pay is $550.40

Step-by-step explanation:

given data

interest = 4.2 % compounded quarterly = 0.042 / 4 = 0.0105

future value = $7000

time = 3 year = 3 × 4 = 12 months

to find out

How much money she need to pay

solution

we will apply here formula for future value for compound quarterly

that is

future value = principal × \frac{(1+r)^{t} -1 }{r}    .............1

put here all these value

future value = principal × \frac{(1+r)^{t} -1 }{r}

7000 = principal × \frac{(1+0.0105)^{12} -1 }{0.0105}

principal = 550.40

so she need to pay is $550.40

3 0
3 years ago
When 2 fair dice are rolled there are 36 possible outcomes. How many possible outcomes would there be if three fair dice were ro
inysia [295]
216 as when 2 there is 6x6 but when there’s 3 it’s 6x6x6 which is 216
7 0
3 years ago
Read 2 more answers
Evaluate 3^2 + (7 − 2) ⋅ 4 − 6 over 3
goldfiish [28.3K]

Answer:

7.7

Step-by-step explanation:

we basically follow the BEDMAS rule

1st we workout the bracket (7-2)=5

2nd the exponent 3^2=9

3rd the multiplication (7-2) . 4 = 5 . 4 = 20

4th addition 9+20=29

5th step is subtraction 29-6=23

the final step is dividing 23 by 3, which will become 7.7

6 0
2 years ago
Read 2 more answers
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