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stealth61 [152]
3 years ago
8

If the sum of the expressions in Column A is equal to the sum of the expressions in Column B, what is the value of x? (will give

brainiest)

Mathematics
1 answer:
masha68 [24]3 years ago
4 0
X = 5

here is the work:

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What is the y-intercept of the line perpendicular to the line y = 3/4x + 3 that includes the point (-3, -3)
kipiarov [429]
A perpendicular line has an opposite reciprocal slope. This means that the new line will have a slope of -4/3x. Plug in x and y into the equation y=Mx +b where m is the slope (-4/3):
-3=(-3/4)(-3) + b
and isolate b:
b-3=(-3/4)(-3)
b=(-3/4)(-3) +3
b=9/4+3
b=21/4

The final equation is y= -4/3x + 21/4
The y intercept is (21/4).
6 0
3 years ago
A lotion is made from an oil blend costing $1.50 per ounce and glycerin costing $1.00 per ounce. Four ounces of lotion costs $5.
yanalaym [24]
X-ounces of an oil blend,
y - ounces of glycerin
x + y = 4    ⇒   y = 4 - x
1.5 x + y = 5.50
1.5 x + 4 - x = 5.50
0.5 x = 5.50 - 4
0.5 x = 1.50
x = 3
y = 4 - 3 = 1
There are 3 ounces of an oil blend and 1 ounce of glycerin.
3 0
3 years ago
What is the defination of focus of a parabola on a coordinate grid
AleksAgata [21]

Answer:

Focus of a Parabola. A parabola is set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola and the line is called the directrix. The focus lies on the axis of symmetry of the parabola.

Step-by-step explanation:

4 0
3 years ago
Which of the following is the solution set of x² + 8x + 12 = 0?
raketka [301]

Answer:

\fbox{\begin{minipage}{9em}x = -2 and x = -6\end{minipage}}

Step-by-step explanation:

Given:

x^{2} + 8x + 12 = 0

Solve for:

x

Solution:

Step 1: Select the formula to solve for x

There are some ways to solve quadratic equations.

One of the simple way (if possible) is performing the factorization.

Another way is using the quadratic formula.

Here, we are going to use factorization.

Step 2: Perform factorization

      x^{2} + 8x + 12 = 0

<=>x^{2}  +  2x + 6x  + 12 = 0

<=>(x^{2} + 2x) + (6x + 12) = 0

<=>x(x + 2) + 6(x + 2) = 0

<=>(x + 2)(x + 6) = 0

<=> x = -2 or x = -6

Hope this helps!

:)

4 0
3 years ago
What is the slope of the line that passes through (3, -4) and (-2, 5). A)-5/9 B)-9/5 C)9/5 D)5/9
alisha [4.7K]
M = (y2 - y1) / (x2 - x1)
Call (3,-4) one point
Call (-2,5) the second point.

m = (5- -4) / (-2 - 3)
m = 9/-5 = - 9 / 5

B<<<< answer

7 0
3 years ago
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