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DedPeter [7]
2 years ago
9

Determine the value of y, if x is 4. Y=|x-7|

Mathematics
1 answer:
Eduardwww [97]2 years ago
8 0

Answer: 3

Step-by-step explanation:

y = |4-7|

y = |-3|

y = 3

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On for the hyperbola with write an equation for the hyperbola given characteristics.
galina1969 [7]

Answer:

Step-by-step explanation:

3 0
3 years ago
A piece of wire measuring 20 feet is attached to a telephone pole as a guy wire. The distance along the ground from the bottom o
dem82 [27]

Answer: Height at which the wire is attached to the pole is 12 feet.

Explanation:

Since we have given that

Length of the wire = 20 feet

Let the height at which wire is attached to the pole be h

and distance along the ground from the bottom of the pole to the end of the wire be x+4

Now, it forms  a right angle triangle so, we can apply "Pythagorus theorem".

H^2=B^2+P^2\\\\20^2=x^2+(x+4)^2\\\\400=x^2+x^2+8x+16\\\\400=2x^2+8x+16\\\\400=2(x^2+4x+8)\\\\200=x^2+4x+8\\\\x^2+4x-192=0\\\\x^2+16x-12x-192=0\\\\x(x+16)-12(x+16)=0\\\\(x+16)(x-12)=0\\\\x=-16\ and\ 12

But height cant be negative so, height will be 12 feet.

Hence, height at which the wire is attached to the pole is 12 feet.


8 0
3 years ago
Verify and show work<br><br> csc x - cos x • cot x = sin x
Vladimir79 [104]

Answer:   The answer is (d) ⇒ cscx = √3

Step-by-step explanation:

∵ sinx + (cotx)(cosx) = √3

∵ sinx + (cosx/sinx)(cosx) = √3

∴ sinx + cos²x/sinx = √3

∵ cos²x = 1 - sin²x

∴ sinx + (1 - sin²x)/sinx = √3 ⇒ make L.C.M

∴ (sin²x + 1 - sin²x)/sinx = √3

∴ 1/sinx = √3

∵ 1/sinx = cscx

∴ cscx = √3

5 0
2 years ago
What is the simplified form of the quantity of x plus 3, all over 4 + the quantity of x plus 2, all over 4 ? (2 points) the quan
pentagon [3]
ANSWER

\frac{2x + 5}{4}

EXPLANATION

We want to simplify

\frac{x + 3}{4} + \frac{x + 2}{4}

The fractions have the same denominator so we write one denominator and add the numerators to obtain,

\frac{x + 3 + x + 2}{4}

Regroup in the denominator to get,

\frac{x + x + 3 + 2}{4}

This simplifies to;

\frac{2x + 5}{4}
8 0
3 years ago
Which ratios are equivalent ratios for 10/20
Marina CMI [18]
It’s equal to 1/2 in simplest form
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3 years ago
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