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3 years ago

Solve the following system by using the elimination method. 2x + 2y = 8 4x - 2y = 10

Mathematics

2 answers:

Rudik [331]3 years ago

6 0

X = 3
y = 1

You can get this by adding straight through and the y terms will cancel. Then divide the x terms to get the answer. You can then plug that x into either equation to solve for y.

DENIUS [597]3 years ago

3 0

Choose any one of these. Hopefully this helps :D

They're both solved using elimination method. [The labels 'Method 1' & 'Method 2' do not change the way they're solved here].

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W is the midpoint of VX and Z is the midpoint of VY . If XY=p and WZ=p–30, what is WZ?

juin [17]

$\large{ \tt{❃ \: EXPLANATION}} :$

You'll have to know : Mid-point theorem states that A straight line segment joining the mid-points of any two triangle is parallel to the third side and it is equal to half of the length of the third side.

We're provided : XY = p , WZ = p - 30 & we're asked to find out the value of WZ. For that , firstly we have to find out the value of p.

$\large{ \tt{❁ \: LET'S \: START }: }$

Set up an equation & solve for p :

$\large{ \bf{☄ \: p - 30 = \frac{1}{2} p }}$

$\large{ \tt{↦ \frac{1}{2} p = p - 30}}$

$\large{ \tt{↦ \frac{1}{2} p - p = - 30}}$

$\large{ \tt{↦ \frac{p - 2p}{2} = - 30 }}$

$\large{ \tt{↦p - 2p = - 60}}$

$\large{ \tt{ ↦ \: - p = - 60}}$

$\large{ \tt{↦p = 60}}$

The value of p is 60

$\large{ \tt{❇ \: REPLACING \: VALUE}} :$

$\large{ \tt{↬ \: wz = p - 30 = 60 - 30 = \boxed{\boxed{ \tt{30 }} }✔}}$

Hence , WZ = 30 .

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2 years ago

An independent research firm conducted a study of 100 randomly selected children who were participating in a program advertised

kap26 [50]

Answer:

b) use a two-sided test instead of a one sided test.

Step-by-step explanation:

If we are using a significance level of 0.05, then the two-tailed test assigns half alpha to test for statistical significance in one direction and half alpha to test statistical significance in the other direction. This implies that .025 is present in each tail of the test statistical distribution. When using the two-tailed test, regardless of the direction of the relationship you assume, we test the possibility of the relationship in both directions.

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2 years ago

for his long distance phone service, Hans pays $2 monthly fee plus 12 cents per minute. Last month, hans's long distance bill wa

svp [43]

Let m stand for number of minutes
.12m+2=25.04
.12m-2=25.04-2
.12m=23.04
.12m÷.12=23.04÷.12
m=192
The number of minutes is 192 minutes.
Hope that helps you!!

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2 years ago