What is the ratio of the area of abc to the area of triangle qst..?

Mathematics

1 answer:

Ivahew [28]3 years ago

6 0

The ration of a triangle is the same as a is to b as b is to c and c is to a.

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Consider the linear function f(x)=4x-5 Find the values of x for which f(x)=3,f(x)=5,f(x)=-3

Evgesh-ka [11]

Answer:

f(2) = 3

f(5/2) = 5

f(½) = -3

Step-by-step explanation:

Given the linear function f(x) = 4x - 5:

3 = 4x - 5

3 + 5 = 4x - 5 + 5

8 = 4x

8/4 = 4x/4

2 = x

Therefore, when f(x) = 3, x = 2.

5 = 4x - 5

5 + 5 = 4x - 5 + 5

10 = 4x

10/4 = 4x/4

5/2 = x

Therefore, when f(x) = 5, x = 5/2.

-3 = 4x - 5

-3 + 5 = 4x - 5 + 5

2 = 4x

2/4 = 4x/4

½ = x

Therefore, when f(x) = -3, x = ½.

7 0

3 years ago

What is the solution to the equation 1/square root of 8 = 4^(m + 2)?

Digiron [165]

Take the log (base 4) of both sides of the equation.
$\log_{4}(\frac{1}{\sqrt{8}}) = m + 2$
$\frac{-1}{2} \log_{4}(4^{\frac{3}{2}})-2 = m$
$-2 \frac{3}{4}= m$

The appropriate choice is ...
m = -11/4

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2 years ago

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Which is the best definition of a square? A. a 4-sided polygon with all sides equal B. a parallelogram with all sides equal and

Veronika [31]

I would say B) A parallelogram with all sides equal and all angles equal. Parallelograms aren't all squares. They can be rectangles and rhombuses. I would say B. They all have the same lengths on all sides. They all have the same angles as well. Take a look at the pictures below. They are all parallelograms. All sides are the same, and all angles are the same.