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Nezavi [6.7K]
2 years ago
6

What is the point of intersection of these two lines? -4x + y = 8 2x - y = 4 (2, 0)

Mathematics
1 answer:
kotykmax [81]2 years ago
7 0

Answer:

(- 6, - 16 )

Step-by-step explanation:

Given the 2 equations

- 4x + y = 8 → (1)

2x - y = 4 → (2)

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

- 2x = 12 ( divide both sides by - 2 )

x = - 6

Substitute x = - 6 into either of the 2 equations and soilve for y

Substituting x = - 6 into (2)

2(- 6) - y = 4

- 12 - y = 4 ( add 12 to both sides )

- y = 16 ( multiply both sides by - 1 )

y = - 16

Solution is (- 6, - 16 )

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puteri [66]

The volume (V) is given in terms of length (L), width (W), and height (H) by the formula ...

... V = LWH

Substituting your dimensions, you have

... V = (11.3 cm)·(18.9 cm)·(29 cm) = 6193.53 cm³ ≈ 6200 cm³

_____

The factor 29 cm has 2 significant digits, so that is the precision required of the answer. It could also be written with less ambiguity as to precision as 6.2 L. (Trailing zeros to the left of the decimal point are always ambiguous when it comes to significant digits.)

7 0
2 years ago
10. Amina is currently twice as old as her younger brother,
maks197457 [2]

Answer:

When Amina is 18. Saad would be;

k. 14

Step-by-step explanation:

Let "x" represent Anita's current age and let "y" represent Saad's current age, we have;

Anita's age = 2 × Saad's age

Therefore;

x = 2 × y...(1)

In 4 years, we will get;

x + 4  = 1.5 × (y + 4)...(2)

Substituting the value of x in equation (1) into equation (2), we get;

2·y + 4 = 1.5·y + 1.5 × 4 = 1.5·y + 6

2·y + 4 = 1.5·y + 6

2·y - 1.5·y   = 6 - 4 = 2

0.5·y = 2

y = 2/0.5 = 4

Saad's current age = y = 4 years

From equation (1), we have;

x = 2 × y = 2 × 4 = 8

Amina's current age = x = 8 years

When Amina is 18, we have;

18 = 10 + 8 = 10 + x

Therefore, Amina would be 18 in 10 years time from now, from which we have;

Saad would be 10 years + y = 10 years + 4 years = 14 years in 10 years from now

Therefore, when Amina would be 18 years in 10 years from now Saad would be 14 years.

6 0
3 years ago
A mother is currently 7 times older than her son. In 3 years time, she will be 5 times older than her son. Let x and y be the pr
Softa [21]

Answer:

If the child is currently 6 years old and the mom is 42, in three years she'll be 45 and he'll be 9

Step-by-step explanation:

The son is y and the mom is x

x=7y

x+3=5(y+3)

7y+3=5y+15

7y=5y+12

2y=12

y=6

8 0
3 years ago
Read 2 more answers
$5,000 is invested at 3% interest. How much money must be invested at 5% interest so that the total interest from the two invest
Nataly [62]
3% interest on 5,000 = 150

275 (the total amount wanted) - 150 (from initial investment)= 125

x (5%) =125
x (0.05)= 125
x/0.05)= 125/0.05
x=2500

you need to invest 2500 at 5% to get the additional 125

125 plus 150= 275


7 0
3 years ago
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What is 6 times -64 times 3
horsena [70]
The answer is -1152
 Hope it helps!!
7 0
3 years ago
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