(02.01 LC) Simplify 4 over 7 ÷ 3 over negative 8. negative 32 over 21 negative 3 over 14 3 over 14 32 over 21

Mathematics

1 answer:

zhannawk [14.2K]3 years ago

4 0

Answer:

(4/7)÷ (3/-8). Division of fractions is the same as multiplying their reciprocals. So (4/7) x (-8/3). Now multiply the numerators together and denominators together (make sure you only use the negative sign once). (4 x -8) / (7 x 3) = -32/21

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The legs of a right triangle measure 3x and 15. If the hypotenuse measures 3x + 3, what is the value of x?

Ivan

The answer is <span>b.12
</span>
According to the Pythagorean theorem the square of the hypotenuse (c) is the sum of the squares of the legs (a and b):
c² = a² + b²

We have:
a = 3x
b = 15
c = 3x + 3

Now, let's replace these parameters:
c² = a² + b²
(3x + 3)² = (3x)² + 15²
(3x)² + 2 * 3x * 3 + 3² = 9x² + 225
9x² + 18x + 9 = 9x² + 225

Rearrange:
9x² - 9x² + 18x = 225 - 9
18x = 216
x = 216 / 18 = 12

4 0

3 years ago

I didn’t mean to put the 3 there, but please help!

Akimi4 [234]

Answer:

m=y2-y1 / x2-x1
m= 5-2 / 9-0
3/9 =1/3
y=mx+b
2=1/3(0)+b
2=b
slope is 1/3
y-intr is 2

Step-by-step explanation:

8 0

3 years ago

Can someone help me find x

Viefleur [7K]

Answer:

Rounded to the nearest tenth: $x=5.7$ in

Rounded to the nearest hundredth: $x=5.74$ in

Step-by-step explanation:

We have a right triangle with a given angle of 35°. We also have the opposite side of that angle, $x$ , and its hypotenuse 10 in. To find $x$ , we are using the trig function that relates the opposite side with the hypotenuse; in other words, the sine trig function.