What is the most efficient first step to isolate the variable term on one side of this equation?

Mathematics

2 answers:

Elanso [62]3 years ago

8 0

D is the correct answer

alina1380 [7]3 years ago

5 0

Answer:
D. add 4x to both sides

Explanation:
-9x = -4x + 5
+ 4x + 4x
-5x = 5

-4x and -4x are opposite terms, so they cancel each other out.
Once you add 4x to both sides, the variable term (-5x) is isolated on one side of the equation.

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What is the equation in slope-intercept form of the line

Natali5045456 [20]

Answer:

y = (-4/3)x + 4

Step-by-step explanation:

Let y = mx + b, be the equation of the line in slope intercept form where we need to find m and b.

Perpendicular to y = (3/4)x - 5, means that m = - (1 / (3/4) ) = - 4/3

So, at this point, y = (-4/3)x + b.

Crossing the x - axis at 3 means that (3, 0) is a point on the line, where we note that x=3 and y=0.

Thus, we plug in these values into the equation y = (-4/3)x + b, to get

0 = (-4/3)(3) + b

0 = -4 + b, so that

b = 4.

Hence, the answer is:

y = (-4/3)x + 4

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3 years ago

A parabola has a line of symmetry x = -5. The minimum value of the quadratic function that it represents is -7. Find a possible

Semmy [17]

The standard equation of a parabola is:

(y-k) = a(x - h)² , where h and k are the coordinates of the Vertex

Since the vertex is ( - 5 , -7), then :

(y +7) = a (x + 5)².
It's given that the vertex is a minimum, that means the coefficient a>0 and the parabola is open upward.

Depending on the value of a (always a>0) , the equation :

y = a(x-5)² + 7 is a parabola

8 0

3 years ago

Which shows the image of quadrilateral ABCD after the transformation R0, 90°?

avanturin [10]

Answer:

A'(0,-1), B'(1,0) , C'(3,-2), and D'(2,-3)

Step-by-step explanation:

The coordinates of rectangle ABCD are A(-1,0), B(0,-1), C(-2,-3), (-3,-2).

The mapping for a rotation through 90° clockwise about the origin is

$(x,y)\to ( - y,x)$