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inessss [21]
3 years ago
8

What is the distance between (1,4) and (4,0) ?

Mathematics
1 answer:
marishachu [46]3 years ago
5 0

Answer:

5 units

Step-by-step explanation:

To calculate the distance (d) use the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (4, 0)

d = \sqrt{(4-1)^2+(0-4)^2}

   = \sqrt{3^2+(-4)^2}

   = \sqrt{9+16} = \sqrt{25} = 5

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5 (i + 2) = 8 (i -1)
Vinil7 [7]
5(i + 2) = 8(i -1)
5i + 10 = 8i -8
-3i + 10 = -8
-3i = -18
i = 6
5 0
3 years ago
Convert the measurements as indicated 4^1/4 ft to inches
Nadya [2.5K]

Answer:

Step-by-step explanation:

if it is (4)^(1/4) ft.

4^{\frac{1}{4} } =(2^2)^{\frac{1}{4} }\\=2^{\frac{2}{4} }\\=\sqrt{2} ft\\=12\sqrt{2} ~inches.\\\approx 16.97 inches

if it is (4^1)/4

then

\frac{4^1}{4} =\frac{4}{4} =1 ~ft=12~inches

3 0
2 years ago
Of the total number of pages in a book, 62% have pictures and the rest have no pictures. There are 310 pages with pictures in th
nasty-shy [4]

Answer:

500 total pages. 190 pages with no pictures.

Step-by-step explanation:

310 is 0.62 of the total pages. 310 divided bye 0.62 is 500.

500 minus 310 is 190 pages with no pictures.

Hope this helps!

3 0
3 years ago
What is the product of the two integer values for $x$ for which $|x^2 - 16|$ is a prime number?
Nana76 [90]

Answer:

-9

Step-by-step explanation:

x² -16 = (x -4)(x +4)

This magnitude of this product can only be prime if one of the factors is ±1. Any other integer value of x will produce a composite number (or zero).

... For x-4 = ±1, x = 3 or 5

... For x+4 = ±1, x = -3 or -5

The values of x that are ±3 both give |x²-16| = 7, a prime.

The values of x that are ±5 both give |x²-16| = 9, not a prime.

The two values of x that are of interest are x=-3 and x=3. Their product is ...

... (-3)·(3) = -9

8 0
3 years ago
Use what you know about tangent lines to circles to solve for x
tigry1 [53]
X=5
Since both lines are tanget meaning the only touch the circle once, both sides will be the same we can set up an equation 33=x^2+8 which is 25=x^2 and square root both sides to get 5 equals x
3 0
3 years ago
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