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3 years ago

The graphs of f(x) =2/3x and g(x) =2/3x-2 are shown below.

Mathematics

1 answer:

4vir4ik [10]3 years ago

3 0

Y1=2/3x , Y2=2/3x-2

those are the graph of the functions

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Triangle MNP has side lengths 3.5 cm, 4.1 cm, and 4.3 cm. A triangle with what side lengths would be similar to triangle MNP?

atroni [7]

Answer:

Option 1,

The triangle MNP is similar to the triangle with side lengths 35 cm, 41 cm, 43 cm

Step-by-step explanation:

Given triangle MNP has side lengths 3.5 cm, 4.1 cm, and 4.3 cm. we have to find the similarity triangle sides from the given option.

As we know, the two triangles are similar if the measures of the corresponding sides of two triangles are proportional.

For the first option: 35 cm, 41 cm, 43 cm

$\frac{3.5}{4.1}=\frac{4.1}{41}=\frac{4.3}{43}=\frac{1}{10}$

which shows that the sides are proportional.

we have to choose only one option ∴ we needn't have to check the others

Hence, the triangle MNP is similar to the triangle with side lengths 35 cm, 41 cm, 43 cm

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3 years ago

A water dispenser has the capacity of 25,000 milliliters. What is the capacity in liters

erica [24]

Since there are 1000 millilitres in 1 Liter. If we divide 25,000 by 1000 we get an answer of 25 Litres.

7 0

3 years ago

Paul is saving for a video game. It costs $70, including tax. He has already saved $35. How much more does he need to save?

MrMuchimi

Answer:

Step-by-step explanation:

70 takeaway 35 is 35 which is what is left over.

7 0

3 years ago

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Which of the following is the quotient of b and a?

vlabodo [156]

$\bf 19^{\frac{7}{4}}\cdot \sqrt[a]{19^b}=19^{\frac{5}{2}}\sqrt{19}\\\\
-----------------------------\\\\
a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^{ n}} \qquad \qquad
\sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}\\\\
-----------------------------\\\\
thus\qquad 19^{\frac{7}{4}}\cdot 19^{\frac{b}{a}}=19^{\frac{5}{2}}\cdot 19^{\frac{1}{2}}\implies 19^{\frac{7}{4}+\frac{b}{a}}=19^{\frac{5}{2}+\frac{1}{2}}
\\\\\\
$

$\bf 19^{\frac{7}{4}+\frac{b}{a}}=19^{\frac{6}{2}}\implies 19^{\frac{7}{4}+\frac{b}{a}}=19^3\impliedby 
\begin{array}{llll}
\textit{same base, thus}\\
\textit{exponents must be the same}
\end{array}
\\\\\\
\cfrac{7}{4}+\cfrac{b}{a}=3\implies \cfrac{b}{a}=3-\cfrac{7}{4}$

5 0

3 years ago

We know 2 x 6 = 12.

Anon25 [30]

Answer:

A and C is true statements

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2 years ago

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