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emmainna [20.7K]
1 year ago
8

Write an equation of the line that passes through point P and is parallelto the line with the given equation.P(-2, 1), 10x + 4y

= -8
Mathematics
1 answer:
Klio2033 [76]1 year ago
5 0
\begin{gathered} 10x+4y=-8 \\ 4y=-10x-8 \\ y=-\frac{10}{4}x-2 \\ \text{The slope is m=-}\frac{10}{4} \\ \text{The new equation is-} \\ y-1=-\frac{10}{4}(x+2) \\ 4y-4=-10x-20 \\ 4y=-10x-16 \\ y=-\frac{10}{4}x-4\text{ (equation)} \\  \\ m=-\frac{10}{4} \\ b=-16 \end{gathered}

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Select the correct answer.
masya89 [10]

Answer:

D

Step-by-step explanation:

Either try all the numbers and see which ones work or do the following.

Times both sides by 2x-5.

3=x(2x-5)=2x^2-5x

Rearrange and solve the quadratic. I will factorise.

2x^2-5x-3=0

(2x+1)(x-3)=0

so x = -1/2 or 3

6 0
3 years ago
How many of each type of box is it carrying?
CaHeK987 [17]

Answer:

Number of large boxes: 55

Number of small boxes:65

Step-by-step explanation:

Let be "l" the number of large boxes and "s" the number of small boxes.

Set up a system of equations:

\left \{ {{l+s=120} \atop {60l+30s=5250}} \right.

Use the methof of elimination. Mulitply the first equation by -60 and add both equations. Then solve for "s":

\left \{ {{-60l-60s=-7200} \atop {60l+30s=5250}} \right.\\.........................\\-30s=-1950\\s=65

Substitute s=65 into any of the original equations and solve for "l":

l+65=120\\l=55

8 0
3 years ago
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Does the following table represent a function? Explain.
MAVERICK [17]

Answer:

The table represents a function because each input corresponds to exactly one output.

Step-by-step explanation:

A table can be regarded as representing a function if and only if every input can only be mapped to exactly one output. In other words, it means, only 1 exact output can be assigned to an input. In a table of function, an input cannot have two different outputs. Although, two different inputs can be assigned to the same output.

From the table given, we see that every input has exactly one output. Although, we have different inputs that gives the same output.

Therefore, we can conclude that the table represents a function because each input corresponds to exactly one output.

3 0
3 years ago
Find the measure of angle x in the figure below:
Crank

Answer:

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Step-by-step explanation:

Because an area of a triangle is 180.

55 + 55 = 110    180 - 110 = 70

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Answer:

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Step-by-step explanation:

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3 years ago
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