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Pavlova-9 [17]
3 years ago
12

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
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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
3 0
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)

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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

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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}

7 0
3 years ago
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