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mestny [16]
3 years ago
12

2p Determine the value of a such that the system of equations below would have an infinite number of solutions?

Mathematics
1 answer:
Alona [7]3 years ago
6 0


2p Determine the value of a such that the system of equations below would have an infinite number of solutions?
18x + 12y = 36
ax – 8y =- 24

Answer: a=-12
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Help me please just need this last one and I’ll be done please help me if you can
Lemur [1.5K]

Answer:

58°

Step-by-step explanation:

<u>Start with the equation</u> 2x + 2 + 90 = 148

<em>( I got the 90 from Angle B since it is a right angle.)</em>

<u>Combine like terms</u> 2x + 92 = 148

<em>( 90 and 2 didn't have variables so you could add them together.)</em>

<u>Subtract 92 from both sides</u> 2x + 92 = 148

                                                      -92   -92

<em>(The opposite of addition is subtraction.)</em>

<u>Now write out the new equation</u> 2x = 56

<u>Divide both sides by 2</u> \frac{2x}{2} = \frac{56}{2}

<u>You'll end up with...</u> x = 28

<u>To find the measure of angle BAC, plug in 28 where the x value is</u> 2(28) + 2

<u>This gives you the answer</u> 58°

7 0
3 years ago
Write an equation for a line parallel to y=2x-2 and passing through the point (1,1) Y=???? PLEASE HELP ANYONE
Rufina [12.5K]
The general equation for slope-intercept form is y = mx + b, where m = the slope of the equation, b = the y intercept, and x and y are your variables (and the coordinate points on the graph). 

Remember that for parallel lines, the slope, m, is the same for both equations. The equation you're given, y = 2x - 2, is already in slope-intercept form and the 2 in front of x is m, your slope. That means for whatever equation we come up with, m has to be 2. 

So far we know the equation for our parallel line is y = 2x + b. How do we figure out b? Plug in the (x, y) coordinate you're given, (1, 1) and solve for b:
y = 2x + b\\&#10;1 = 2(1) + b\\&#10;1 = 2 + b\\&#10;b = -1

Now we know b = -1. Put that into our y = 2x + b equation to get the final equation of your parallel line: 
Your final answer is y = 2x - 1.

5 0
3 years ago
A train traveled 30 miles at an average speed of 60 mi/h ind the time taken for the trip
Ronch [10]
1/2 hour. 30/60 = 1/2 3 divided by 6 is 1/2 since it's not possible for it to be 1
4 0
3 years ago
Read 2 more answers
Min-Jee is planting two rectangular flower beds. One bed is 2.78 feet by 4.81 feet, and the other bed is 2.78 feet by 5.61 feet.
shusha [124]

Answer:  (2.78+4.81)(2.78+5.61)

Step-by-step explanation:

<h3> The complete exercise is attached.</h3><h3></h3>

The area of a rectangle can be calculated with this formula:

A=lw

Where "l" is the lenght and "w" is the width.

Then, you can notice that it can be obtained by multiplying the dimensions of the rectangle.

Knowing this, you can determine that the total area of the two flowers bed can be obtained by adding the products of their dimensions.

Since one of the rectangular flower bed is 2.78 feet by 4.81 feet and the other bed  2.78 feet by 5.61 feet, you can write the following expression to find the total area (in square feet)of the two beds:

2.78*4.81 +2.78*5.61

If you factor out 2.78:

2.78(4.81 +5.61) or (4.81 +5.61)2.78

Therefore, the expression that does not represent the total area in square feet of the two beds, is:

(2.78+4.81)(2.78+5.61)

6 0
3 years ago
Read 2 more answers
The point (17,−9) is translated to the point (6,2). Select the description of the translation.
zubka84 [21]

Answer:

11 up , 11 left

Step-by-step explanation:

Given

(17, -9) to (6,2)

Required

Determine the translation rule

Considering the x coordinates.

From 17 to 6

6 is to the left of 17.

Using the translation rule:

x = x' + b

17 = 6 + b

17 - 6 = b

11 = b

b = 11

<em>Hence: From 17 to 6 is 11 units left translation</em>

Considering the y coordinates.

From -9 to 2

2 is at the top -9.

Using the translation rule:

y = y' + b

-9 = 2 + b

-9 - 2 = b

-11= b

b = -11

The negative value impies a upward translation.

Hence: From -9 to 2 is 11 units up translation

4 0
3 years ago
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