3 years ago

How many triangles exist with side lengths 7 in, 7 in, 7 in

1 answer:

5 0

Only one possible triangle exists with these sides.

A triangle with equal sides is an equilateral triangle. All equilateral triangles are equiangular as well; 180/3=60° for each angle. No matter how we turn this triangle, the angles will have the same measure.

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True or False? 92x - x = 92

maksim [4K]

Answer: False

Step-by-step explanation: 92x-x would be 91x.

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2 years ago

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Express p in terms of q if

Irina-Kira [14]

$p=x^2+\dfrac{1}{x^2}\\\\p=\dfrac{x^4}{x^2}+\dfrac{1}{x^2}\\\\p=\dfrac{x^4+1}{x^2}\qquad(*)$

$q=x+\dfrac{1}{x}\\\\q=\dfrac{x^2}{x}+\dfrac{1}{x}\\\\q=\dfrac{x^2+1}{x}\qquad\text{square both sides}\\\\q^2=\left(\dfrac{x^2+1}{x}\right)^2\\\\q^2=\dfrac{(x^2+1)^2}{x^2}\qquad\text{use}\ \ (a+b)^2=a^2+2ab+b^2\\\\q^2=\dfrac{(x^2)^2+2(x^2)(1)+1^2}{x^2}\\\\q^2=\dfrac{x^4+2x^2+1}{x^2}\\\\q^2=\dfrac{x^4+1}{x^2}+\dfrac{2x^2}{x^2}\\\\q^2=\dfrac{x^4+1}{x^2}+2\qquad\text{subtract 2 from both sides}\\\\q^2-2=\dfrac{x^4+1}{x^2}\\\\\text{From (*) we have}\\\\\boxed{p=q^2-2}$

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2 years ago

How do I write y=2x-7 in function notation?

mrs_skeptik [129]

Thus is how you write y=2x-7 in a function notation. ANSWER:F(x)=2x-7.

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3 years ago

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What is the value of x for the regular polygon shown below?<br> 2x + 4<br> 36

Elden [556K]

Im not sure what your asking add more please

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1 year ago

2. In what ratio does the point (5, 4) divide the given line joining the points (2,1) and (7,6)

Darya [45]

Answer:

3/2

Step-by-step explanation:

Let it be

C (5;4) , A (2;1) ; B(7;6)

Suppose that C divide the line AB in ratio m/n from point A (AC is m, CB is n)

Use the formula xc=(m*xb+n*xa)/ (m+n)

5=(m*7+2n)/(m+n)

5m+5n= 7m+2n

2m=3n

m/n=3/2

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2 years ago