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Nadya [2.5K]
3 years ago
8

- 8th Grade Math - Solve the system of equations: 2x - 4y = 10, x = 2y + 5

Mathematics
1 answer:
4vir4ik [10]3 years ago
4 0

Answer:

All real numbers

Step-by-step explanation:

Since x=2y+5, and 2x-4y=10, substitute 2y+5 for x into 2x-4y=10

2(2y+5)-4y=10

Use distributive prop.

4y+10-4y=10

10=10

Since both sides of the equation are always equivalent,

All real numbers work, since the two equations are the same line.

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△ABC ≅ △DEF, EF = x 2 - 7, and BC = 4x - 2.
Artist 52 [7]

Answer:

Therefore the value of x is 5.

Step-by-step explanation:

Given:

△ABC ≅ △DEF,

EF = x 2 - 7, and

BC = 4x - 2.

To Find:

the values of x. = ?

Solution:

△ABC ≅ △DEF      ........Given

If two Triangles are congruent then the Corresponding Parts of Congruent Triangles are Congruent.

∴ BC ≅ EF   ...................CPCTC

Substituting the values we get

4x-2=x^{2}-7\\x^{2}-4x-5=0

Now By Factorizing we get

x^{2}-5x+x-5=0\\x(x-5)+1(x-5)=0\\(x+1)(x-5)=0\\x+1=0\ or\ x-5=0\\x=-1\ or\ x=5\\x\ cannot\ be\ negative\\\therefore x=5

Therefore the value of x is 5.

8 0
3 years ago
Match the key aspect of a function's graph with its meaning
Aliun [14]

Answer:

y- intercept --> Location on graph where input is zero

f(x) < 0         --> Intervals of the domain where the graph is below the x-axis

x- intercept --> Location on graph where output is zero

f(x) > 0         --> Intervals of the domain where the graph is above the x-axis

Step-by-step explanation:

Y-intercept: The y-intercept is equivalent to the point where x= 0. 'x' is the input variable in an equation, therefore the y-intercept is where the input, or x, is equal to 0.

f(x) <0: Notice the 'lesser than' sign. This means that the value of f(x), or 'y', is less than 0. This means that this area consists of intervals of the domain below the x-axis.

X-intercept: The x-intercept is the location of the graph where y= 0, or the output is equal to 0.

f(x) >0: In this, there is a 'greater than' sign. This means that f(x), or 'y', is greater than 0. Therefore, this consists of intervals of the domain above the x-axis.

8 0
3 years ago
A warehouse worker moved 108 pallets in 4.5 hours. In minutes, what is the rate to move one pallet? The worker will be off the c
klasskru [66]

Number of pallets moved in 4.5 hours = 108

converting 4.5 hours in minutes we get,

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As the tie will get over in 2 hours or 2*60 = 120 minutes, the number of pallets that can be moved will be = \frac{120}{2.5}= 48 pallets.

Hence, 48 pallets can be moved before quitting time.

6 0
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What is (-6, 2) reflected across the x axis then dilated by 1/2?
RUDIKE [14]
Make sure you go ahead and plot your point on the graph that you are using dilation means the graph got smaller then the original graph so starting from your original point your going to rotate it on the graph to your new point which is 1/2
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There are 5 children and 3 adults going on a trip.
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Answer:

3/8

Step-by-step explanation:

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