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sveticcg [70]
3 years ago
8

Find the coordinates of a point in Quadrant 3 that makes the following triangles congruent. Triangle GHJ: G(1,−6), H(2,−5), J(2,

1) Triangle NOP: N(−6,1), O(−5,2)
Mathematics
1 answer:
Jobisdone [24]3 years ago
4 0

Answer:

  • (-6, -5)

Step-by-step explanation:

<u>Plot the points first:</u>

  • Triangle GHJ: G(1,−6), H(2,−5), J(2,1)
  • Triangle NOP: N(−6,1), O(−5,2)

Missing Point P is in quadrant 3and its coordinates are (-6, -5) as per symmetry with triangle GHJ.

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2³+2²+2÷2²+2+1=2 prove that this relation is true for any natural numbers
UkoKoshka [18]

So, this question is basically asking us "If we had an x instead of a 2, would this be true?" We can try and see what we get:

\frac{x^3+x^2+x}{x^2+x+1}=x

So, if we want to show this we have to change the numerator or denominator in such a way that we can cancel some common factors. Notice that x^3+x^2+x=x(x^2+x+1)

If we replace the factored numerator with the original one, we get:

\frac{x(x^2+x+1)}{x^2+x+1}=x \implies \\ x=x

Since we have an equality, this relation is proved.

3 0
3 years ago
A newspaper found that, on average, 7.6% of people stay overnight in the hospital with a 1.5% margin of error. Construct a 95% c
tensa zangetsu [6.8K]
Given:
p = 7.6% = 0.076, the percentage of people who stay overnight at the hospital.
E = 1.5% = 0.015, margin of error
95% confidence interval.

The standard error is 
Es = \sqrt{ \frac{p(1-p)}{n} }
where 
n =  the sample size.

The margin of error is
E=z^{*}E_{s}
where
z* = 1.96 at the 95% confidence level.

Because the margin of error is given, there is no need to calculate it.
The 95% confidence interval is
p +/- E = 0.076 +/- 0.015 = (0.061, 0.091) = (6.1%, 9.1%)

Answer: 
The 95% confidence interval is between 6.1% and 9.1%.

3 0
4 years ago
9.5 is what percent of 500?
natta225 [31]
9.5% of 500 = 47.5

9.5% × 500 =

(9.5 ÷ 100) × 500 =

(9.5 × 500) ÷ 100 =

4,750 ÷ 100 =

47.5;
3 0
3 years ago
What is an equation in point-slope form of the line shown in the graph,using the point (-2,-1)
mylen [45]
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7 0
3 years ago
You are given the function C(x)=−4x2+4x+3 Find C(−1). Provide your answer below: C(−1)=
Sedaia [141]

Hey there! :)

Answer:

C(-1) = -5.

Step-by-step explanation:

C(x) = -4x² + 4x + 3

Plug in -1 for x to solve for C(-1):

C(-1) = -4(-1)² + 4(-1) + 3

Simplify:

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3 0
3 years ago
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