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Naddika [18.5K]
3 years ago
8

10 points and easy. please help

Mathematics
1 answer:
olganol [36]3 years ago
8 0

Answer:

The answer is D) No; Y doesn't vary directly with x.

Step-by-step explanation:

It isn't A because:

y=2x:  

2(2)=4=y Not true, 2(4)=8=y Not true, 2(6)=12=y Not true

It isn't B:

y=5x

5(2)= 10=y True, 5(4)=20=y Not true, 5(6)=30=y Not true

It isn't C:

y=7x

7(2)=14=y Not true, 7(4)=28=y Not true, 7(6)=42=y Not true


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Ten less than 3 times a number is the same as the number plus 4
Marina86 [1]
3(x)-10=x+4. That’s the equation. Ight, now we gotta solve it. It would be 3x-10=x+4, then you subtract 4 from each side, so 3x-14=x, then subtract 3x, so -2x=-14, then divide -2x by -2 and -14 by 2, which means the answer is x=-7. Thank me later.
8 0
3 years ago
Help me please please I beg
alexdok [17]

Answer:

cm

Step-by-step explanation:

if using centimeters to determine the perimeter then it's just cm.

If you're using centimeters to determine area it would be cm^2.

If you're using centimeters to determine volume it would be cm^3.

I hope this helps you. Have a blessed day.

:);)

7 0
2 years ago
Find the value of k for which the line y = kx + 6 is a tangent to the curve x^2 + y^2 – 10x + 8y = 84
guajiro [1.7K]

Answer:

k = 1/2

Step-by-step explanation:

input y = kx +6 into the equation of the curve x² + y² – 10x + 8y = 84

x² + (kx + 6)² - 10x + 8(kx + 6) = 84

expand:

x² + k²x² + 12kx + 36 - 10x + 8kx + 48 = 84

simplify by collecting like terms:

x² + k²x² + 20kx - 10x + 84 = 84

subtract 84 on both sides to bring it to the left:

x² + k²x² + 20kx - 10x + 84 - 84 = 0

x² + k²x² + 20kx - 10x = 0

factorise out x:

x²(1 + k²) + x(20k - 10) = 0

using the discriminant b² - 4ac where b is 20k - 10, a is 1 + k² and c is 0, substitute them in the formula b² - 4ac:

b² - 4ac

(20k - 10)² - 4(1 + k²)(0) = 0

the part highlighted in bold is gone because it's all multiplied by 0, so we are left with (20k - 10)² = 0

(20k - 10)² is the same as

(20k - 10)(20k - 10)

equate both to 0

20k - 10 = 0 and 20k - 10 = 0

add 10 on both sides

20k = 10 and 20k = 10

divide 20 on both sides

k = 10/20 and k = 10/20 which are both the same

10/20 is simplified to 1/2

k = 1/2

5 0
2 years ago
Julie wants to buy tulip bulbs to plant. Each bulb costs $0.50 plus a one-time $4.50 shipping cost. She has $22 to spend.
kumpel [21]

Answer:

0.50 x 4.50 = 69.42.00 and 22 = 47.420.00

Step-by-step explanation:

47.420.00

7 0
3 years ago
The arch of a bridge forms the upper half of an ellipse. The arch is 6 meters above the 20-meter-wide river. Write an equation f
aksik [14]

Answer:

\frac{x^2}{36} + \frac{y^2}{100} = 1

Step-by-step explanation:

Required

The equation of the ellipse

This is calculated as:

\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1

Where:

b =6 ---- height

a = 0.5 * 20 =10 --- width

So:

\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1

\frac{x^2}{6^2} + \frac{y^2}{10^2} = 1

\frac{x^2}{36} + \frac{y^2}{100} = 1

3 0
3 years ago
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