2 years ago

Find the perimeter. Simplify your answer. 4c+9 70-5 5c+2 5c-3

Mathematics

1 answer:

pickupchik [31]2 years ago

7 0

Answer:

Step-by-step explanation:

Perimeter = 4c + 9 + 7c - 5 + 5c + 2 + 5c - 3

= 4c +7c + 5c +5c + 9 - 5 + 2 - 3

= 21c + 3

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Which of the following can be used to find the volume?

mina [271]

Answer:

third and fourth option

Step-by-step explanation:

volume of rectangular prism = length*width*height

=7.5 * 2 * 4.2

= 63 cm^3

6 0

2 years ago

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the length of the longer leg of a right triangle is 3 ft more than three times the length of the shorter leg. the length of the

Ulleksa [173]

with the pythagorean theorem

$\begin{gathered} (4+3x)^2=x^2+(3+3x)^2 \\ 16+24x+9x^2=x^2+9+18x+9x^2 \\ 16+24x+9x^2=10x^2+18x+9 \\ 16+24x+9x^2-9=10x^2+18x+9-9 \\ 9x^2+24x+7=10x^2+18x \\ 9x^2+24x+7-18x=10x^2+18x-18x \\ 9x^2+6x+7=10x^2 \\ 9x^2+6x+7-10x^2=10x^2-10x^2 \\ -x^2+6x+7=0 \end{gathered}$

using the formula of the quadratic equation

$\begin{gathered} x_{1,\: 2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ x1=\frac{-6+\sqrt{6^2-4\left(-1\right)\cdot\:7}}{2\left(-1\right)}=-1 \\ x2=\frac{-6-\sqrt{6^2-4\left(-1\right)\cdot\:7}}{2\left(-1\right)}=7 \end{gathered}$

the length cannot be negative, therefore x=7

length of the shorter leg is: 7ft

length of the longer leg is: 3+3(7)= 24ft

length of the hypotenuse is: 4+3(7)= 25ft