What is 4x+3y=14 2y=6+4x

Answers

Answer 1

Answer: 4x+3y=14
2y=6+4x
we can isolate the y in the second function
2y=6+4x
/2 /2
y=3+2x
then change all the y to 3+2x in first function
4x+3(3+2x)=14
4x+9+6x=14
10x=5
/10 /10
x=0.5 or 1/2
then fill the x in the function, get y.(each function will work)
2y=6+4x
2y=6+4(1/2)
2y=6+2
2y=8
y=4
x=0.5 y=4

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A triangle ABC with vertices A (6, 8), B (6, 12), and C (10, 12) is rotated 90 degrees What are the coordinates of B'?

Answers

i think it would be (2,8)

the area of a triangle is 124 square units. what would it's new area be if its base was half as long and its height was three times as long?

Answers

To solve this problem you must apply the proccedure shown below:

1. You have that the formula for calculate the area of a triangle is:

A=bh/2

Where A is the area of the triangle, b is the base of the triangle and h is the height of the triangle.

bh/2=124
bh=124x2
bh=248

2. The problem asks for the new area of the triangle if its base was half as long and its height was three times as long. Then, you have:

Base=b/2
Height=3h

3. Therefore, when you substitute this into the formula for calculate the area of a triangle, you obtain:

A'=bh/2

(A' is the new area)

A'=(b/2)(3)/2
A'=3bh/4

4. When you substitute bh=248 into A'=3bh/4, you obtain:

A'=186 units²

The answer is: 186 units²

If x is a number that is 7 more than y, how do you express x as a function of y?A. x = f(y) = 7 + x
B. x = f(y) = 7 + y
C. y = f(x) = 7x
D. y = f(x) = y – 7
E. y = f(x) = 7 + y

Answers

I believe the correct answer from the choices listed above is option B. The variable y is the independent variable here and x is the dependent variable so the function can be represented as f(y). The function should be written as:

x = f(y) = 7 + y

If (x + 3)2 = 42, what is the approximate positive value of x? 0.48
3.48
5.48
6.48