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amm1812
3 years ago
9

Determine which line is perpendicular to y = - 7/5x-2.​

Mathematics
1 answer:
tatuchka [14]3 years ago
6 0

Answer:

y = 5/7 x  - 6

Step-by-step explanation:

For two lines to be perpendicular, the product of their slope must be -1

The slope of the given function is -7/5

Let the slope of the required function be m

m * -7/5 = -1

7/5 m = 1

7 = 5m

m = 5/7

The slope of the line perpendicular to the line is 5/7

The required equation (using any value of the y-intercept) is expressed as;

y = 5/7 x  - 6

Note that the y-intercept value was assumed and any value can be used

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Please help me find the value of x​
-Dominant- [34]

Answer:

67°

Step-by-step explanation:

Corresponding angles are equal in parallel lines.

Here, ∠acb and ∠aed are corresponding angles for lines bc and de

hence ∠aed = ∠acb = 39

in triangle ade,

x + 74 + 39 = 180 (angle sum property of a triangle)

x = 67°

3 0
3 years ago
Suppose you are an avid reader and are looking to save money on the cost of books Instead of paying about $20 for each book, you
Maksim231197 [3]

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2

Step-by-step explanation:

The answer is 2, because there's comparison of the options of ways to buy books.


5 0
3 years ago
Given f(x) = x^2 + 2 and g(x) = 2 – x, find a simplified expression for f(2x) + g(3x).
Blababa [14]

Answer:

f(2)+g(3) = 5

Step-by-step explanation:

Given that,

f(x) = x² + 2

g(x) = 2-x

We need to find the value of f(2)+g(3).

f(2) = 2² + 2 = 6

g(3) = 2 – 3 = -1

So,

f(2)+g(3) = 6+(-1)

= 5

Hence, the value of the given expression is 5.

6 0
3 years ago
Step by step explanation
SSSSS [86.1K]

Answer:

only a is the right triangle

Step-by-step explanation:

only a is the right triangle because it satisfies the pythagorean theorem.

a.)

c ^{2}  = a ^{2}  + b ^{2}  \\ 63 = 25 + 38\\ 63 = 63 \\ true

while b,

b.)

c ^{2}  = a ^{2}  + b ^{2}  \\ 60 = 25 + 38 \\ 60 = 63 \\ false

8 0
3 years ago
Use the discriminant to determine the number and type of solutions the equation has.
White raven [17]
x^2 + 8x + 12 = 0\\ \\a=1 , b= 8, c= 12 \\ \\ \Delta =b^2-4ac = 8^2 -4\cdot1\cdot12= 64-48= 16\\ \\\Delta > 0 \\ \\ Answer : \ C. \ \ two \ rational \ solutions


5 0
3 years ago
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