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3 years ago

I really need help If AD = 12 and AC = 4y-36, find the value of y

Mathematics

1 answer:

Mice21 [21]3 years ago

8 0

Notice the tickmarks

AD = DC

now AC, which is the whole length from side to side,
is 4y-36
AD is 12, and since DC is the same as AD, so
DC = 12

AC = AD + DC, or 12 + 12
now, we know AC is also 4y-36

so $\bf \begin{array}{cccccclllllll}
AC&=&AD&+&DC\\
\downarrow &=&\downarrow &&\downarrow \\
4y-36&=&12&+&12\\

\\ \quad \\ \quad \\
4y-36&=&&24

\end{array}$

solve for "y"

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The length of each side of a square is 3 inches more than the length of each side of a small square. The sum of the areas of the

NeX [460]

Answer:

$\text{Smaller square's 15 inches, Bigger square's 18 inches}$

Step-by-step explanation:

GIVEN: The length of each side of a square is $3$ inches more than the length of each side of a small square. The sum of the areas of the square is $549$ inches.

TO FIND: the lengths of the sides of the two squares.

SOLUTION:

let the length of side of small square be $\text{x}$

Area of small square $=(\text{side})^2=\text{x}^2$

As length of each side of bigger square is $3\text{ inches}$ more than the smaller square

length of side of bigger square $=\text{x}+3\text{ inches}$

Area of bigger square $=(\text{x+3})^2$

Also

Sum of areas of both square $=549\text{ inch}^2$

$(\text{x})^2+(\text{x+3})^2=549$

$2\text{x}^2+6\text{x}+9=549$

$\text{x}^2+3\text{x}-270=0$

$\text{x}=15,-18$

as the length of side can never be negative

$\text{x}=15$

length of side of smaller square $=15\text{ inches}$

length of side of bigger square $=\text{x}+3\text{ inches}$ $=18\text{ inches}$

Hence the length of smaller and bigger square are $15\text{ inches}$ and $18\text{ inches}$ respectively.

7 0

3 years ago

Please help me on my homework

Sergeu [11.5K]

Answer:

tge answer is -8

Step-by-step explanation:

-14+8-5+8-2-3=-8

6 0

3 years ago

A local restaurant allows groups to rent out a party room in order to host events. The restaurant charges $600 to rent the room

OleMash [197]

Answer:

y = (10x + 600)/x

Step-by-step explanation:

To find the average cost, we must divide the total cost by the number of people.

The number of meals served will equal the number of people, since everybody gets just 1 meal.

Each meal is 10 dollars, plus the 600 rental fee.

The total cost will be the meal prices plus the fee, all divided by the number of people/number of meals, or x.

3 0

3 years ago

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Determine the slope of the line that passes through the points (-4, 6) and (0, 4).

Dennis_Churaev [7]

Slope = rise/run = (change in y)/(change in x)
Slope = (4-6)/(0-(-4)) = (-2)/(4)
Slope = -1/2 = -0.5

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3 years ago

Analysis of an accident scene indicates a car was traveling at a velocity of 69.5 mph (31.1 m/s) along the positive x-axis at th

STatiana [176]

We can find the acceleration via

${v_f}^2-{v_i}^2=2a\Delta x$

We have

$\left(5.20\dfrac{\rm m}{\rm s}\right)^2-\left(31.1\dfrac{\rm m}{\rm s}\right)^2=2a(115\,\mathrm m)$

$\implies\boxed{a=-4.09\dfrac{\rm m}{\mathrm s^2}}$

Then by definition of average acceleration,

$a_{\rm ave}=\dfrac{v_f-v_i}t$

so that

$-4.09\dfrac{\rm m}{\mathrm s^2}=\dfrac{5.20\frac{\rm m}{\rm s}-31.1\frac{\rm m}{\rm s}}t$

$\implies\boxed{t=6.33\,\mathrm s}$

We alternatively could have found the time without knowing the acceleration. Since acceleration is constant, the average velocity is

$v_{\rm ave}=\dfrac{x_f-x_i}t=\dfrac{v_f+v_i}2$

Then

$\dfrac{115\,\rm m}t=\dfrac{5.20\frac{\rm m}{\rm s}+31.1\frac{\rm m}{\rm s}}2$

$\implies\boxed{t=6.33\,\mathrm s}$

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3 years ago