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Triss [41]
3 years ago
15

-6x+7(1-x)=-4(x-4) if you help thank you so much!!!

Mathematics
1 answer:
salantis [7]3 years ago
8 0
Answer:
-1

Step by step explanation:
Rearrange terms
-6x+7(-x+1)=4(x-4)
Distribute
-6x - 7x + 7 = - 4(x-4)
Combine like terms:
−13+7=−4(−4)
Distribute:
−13+7=−4+16
Subtract 7 from both sides of the equation
−13+7−7=−4+16−7
Simplify
−13=−4+9
Add 4x to both sides of the equation
−13+4=−4+9+4
Simplify
Combine like terms
Combine like terms
−9=9
Divide both sides of the equation by the same term
9x/-9 = 9/-9
Simplify
X= -1​
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Find the length of the diagonal AD in the pentagon ABCDE shown in the coordinate plane.
Xelga [282]

Answer:

\sqrt{73} units.

Therefore, Option C is correct.

Step-by-step explanation:

We have given a pentagon ABCDE

We need to calculate its length

That means we have to find the distance of AD

So, coordinates of A(1,6) and D(4,-2)

Using distance formula:

\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Here,x_1=1,y_1=6,x_2=4,y_2=-2

On substituting the values we will get:

\sqrt{(4-1)^2+(-2-6)^2}

On simplification:

\sqrt{3^2+(-8)^2}

\sqrt{9+64}

\sqrt{73}.

Hence, the length of AD is  \sqrt{73} units.

Therefore, Option C is correct.

6 0
4 years ago
Consider the inequality-5(x+7)<-10 write an inequality representing the solution for x
GrogVix [38]

Answer:

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Step-by-step explanation:

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(-5)(x) + (-5)(7) < -10

-5x - 35 < -10         <em>add 35 to both sides</em>

-5x < 25         <em>change the signs</em>

5x > - 25       <em>divide both sides by 5</em>

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3 years ago
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artcher [175]

Answer:

A. Simple Random Sampling

B. Cluster Sampling

C. Convenience Sampling

D. Systematic Sampling

E. Stratified Sampling

Step-by-step explanation:

Simple Random Sampling is the sampling when samples are chosen randomly, where each unit has an equal chance of being selected in a sample.

If the population is divided into a different group called cluster and clusters are selected as a sample then it is Cluster Sampling.

In Convenience sampling, observers collect the sample as his\her convenience.

In Systematic Sampling sample is chosen by some criteria like he\she is taken every 10th unit as a sample from the population.

In Stratified Sampling population is divided into several groups such that within the group it is homogeneous and between the group it is heterogeneous. And now a selection of each stratum and unit has an equal chance of selection.

8 0
3 years ago
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umka21 [38]

Answer:

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Step-by-step explanation:

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