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BartSMP [9]
3 years ago
11

Omar invited 96 peoples to an engagement party.

Mathematics
1 answer:
skad [1K]3 years ago
3 0

Answer:

62.5%

Step-by-step explanation:

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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

5 0
1 year ago
Simplify each expression 8+7y-3y+2-4
Kobotan [32]

Answer:

6+4y

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Choose the correct solution and graph for the inequality -5y<_-15
riadik2000 [5.3K]

-5y <= -15

divide by -5  (flips the inequality)

y >= 3

closed circle at 3 line to the right

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2 years ago
It takes Jesse (2/3) hour to mow her backyard how much of the yard will be mowed will be mowed after (1/4) hour ?
bija089 [108]

Answer:

the answer is A

Step-by-step explanation:

here is a link to the question i got the answer from

ok i looked it up and you can learn more here: brainly.com/question/12687875

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2 years ago
find the equation of the line using the point slope formula. write the final equation using the slope intercept for thr x-interc
aleksley [76]

we know the x-intercept of the line is 1, recall that an x-intercept is when the graph intercepts or touches the x-axis, and when that happens, y = 0, so the point is really x = 1, y = 0, namely (1,0). We also know another point on the line, is (-2, 9).


\bf \stackrel{x-intercept}{(\stackrel{x_1}{1}~,~\stackrel{y_1}{0})}\qquad  (\stackrel{x_2}{-2}~,~\stackrel{y_2}{9}) \\\\\\ slope =  m\implies  \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{9-0}{-2-1}\implies \cfrac{9}{-3}\implies -3 \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-0=-3(x-1) \\\\\\ ~\hspace{10em}y=-3x+3

5 0
2 years ago
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