Answer:
-1/4
Step-by-step explanation:
Perpendicular lines have slopes that multiply to -1
m * 4 = -1
Divide by 4
m = -1/4
The slope of a line that is perpendicular to a line that has a slope of 4 is -1/4
Answer: ![\sqrt[3]{125x^3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B125x%5E3%7D)
.
Step-by-step explanation: Given radical expression
![\sqrt[3]{5x} \times \sqrt[3]{25x^2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B5x%7D%20%5Ctimes%20%5Csqrt%5B3%5D%7B25x%5E2%7D)
.
According to the product property of roots.
![\sqrt[n]{a} \times \sqrt[n]{b} = \sqrt[n]{a \times b}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%7D%20%5Ctimes%20%5Csqrt%5Bn%5D%7Bb%7D%20%3D%20%5Csqrt%5Bn%5D%7Ba%20%5Ctimes%20b%7D)
On applying above rule, we get
![\sqrt[3]{5x} \times \sqrt[3]{25x^2} = \sqrt[3]{5x \times 25x^2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B5x%7D%20%5Ctimes%20%5Csqrt%5B3%5D%7B25x%5E2%7D%20%3D%20%5Csqrt%5B3%5D%7B5x%20%5Ctimes%2025x%5E2%7D)
5 × 25 = 125 and
Therefore,
![\sqrt[3]{5x \times 25x^2}= \sqrt[3]{125x^3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B5x%20%5Ctimes%2025x%5E2%7D%3D%20%5Csqrt%5B3%5D%7B125x%5E3%7D)
<h3>So, the correct option would be second option
.</h3>
Answer:
Step-by-step explanation:
hello:
x²-4x=0 means : x(x-4)=0
x=0 or x-4=0
conclusion : x=0 and x= 4 ...answer : B
Answer:
387 km
Step-by-step explanation:
The length of AC, b can be obtained using the cosine rule ; using the cosine relation:
b² = a² + c² - 2ac CosB
b² = 250² + 185² - 2(250*185) Cos125
b² = 62500 + 34225 - 92500 * −0.573576
b² = 96725 + 53055.820
b² = 149780.82
b = sqrt(149780.82)
b = 387.01527
b = 387 km (nearest whole number)
Answer:
C) supplementary angles
D) straight angle
Step-by-step explanation:
There is a straight line, and when an angle is a straight it means its 180 degrees which makes it a supplementary angle and a straight angle.
There are no angles that are 90 degrees so its not complementary or a right angle.
