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Vesnalui [34]
2 years ago
15

Write an inequality for "x".

Mathematics
1 answer:
raketka [301]2 years ago
4 0

Answer: X<-3

Step-by-step explanation: I got this becuase the open dot with the arrow point left means anything lower than -3, if it was closed (filled in) dot, it would be anything -3 and lower. But since it’s not, it’s just anything lower than -3.

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If y is directly proportional to x square and y equal 1/8 when x = 1/2 what is the positive value of x when y it was 9/2?
mojhsa [17]

Answer:

d

Step-by-step explanation:

Given y is directly proportional to x² then the equation relating them is

y = kx² ← k is the constant of proportion

To find k use the condition y = \frac{1}{8} when x = \frac{1}{2}, then

\frac{1}{8} = k(\frac{1}{2} )² = \frac{1}{4} k ( multiply both sides by 8 )

1 = 2k ( divide both sides by 2 )

k = \frac{1}{2}

y = \frac{1}{2} x² ← equation of proportion

When y = \frac{9}{2} , then

\frac{9}{2} = \frac{1}{2} x² ( multiply both sides by 2 )

9 = x² ( take the square root of both sides )

x = ± \sqrt{9} = ± 3

with positive value x = 3 → d

8 0
3 years ago
A triangle has two sides of length 15 cm and 17 cm. Select all the values of its third side that would make it a right triangle
Natali [406]

Answer:

\sqrt{514} cm, 8cm, are both options

Step-by-step explanation:

For a right triangle one can find the length of the longest side by using the Pythagorean theorem. So there are two options I can think of that if the triangle is a right triangle will work. First remember what the Pythagorean theorem is : side a^2+side b^2=hypotenuse^2

The hypotenuse is the longest side of a right triangle. So if the sides that are 15 and 17 cm are not the longest sides then the formula would be:

15^{2} +17^2=c^2\\15^2+17^2=\sqrt{514}cm

But if 17cm is the longest side then:

a^2+15^2=17^2\\8^2+15^2=17^2\\a=8cm

Hope this helps!

4 0
3 years ago
Read 2 more answers
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