how do you solve this

Answer: x = 5

Step-by-step explanation:

The area of a rectangle is the length times the width. Since the dimensions are given as functions of x, youre going to have to use FOIL to combine them, then set that answer equal to the given value of 72.

l*w = (x+3)*(x+4) = x^2 + 7x +12 = 72

Subtract 72 on both sides. There is a reason why we'll do this instead of subtracting 12. The quadratic formula will help us to solve for x.

x^2 + 7x - 60 = 0

Apply the quadratic formula

[tex]\frac{-7 (+/-)\sqrt{7^2-(4)*(1)*(-60} }{2*1} =\frac{-7(+/-)17}{2}[/tex]

We cant have a negative x value because that would result in negative dimensions and a negative area, which is impossible in this context. So you want to add the 17 instead of subtracting it.

x = 5 and x = -12

An alternate way is just factoring the trinomial to:

(x+12)(x-5) = 0

Answer:

1 monkey because it ate one of the cats

Step-by-step explanation:

Answer:

3 cats in 3corners

Step-by-step explanation:

the question is incorrect the correct question is  IN A SQUARE ROOM THERE ARE 4 CATS IN EVERY CORNER?

Hey there !!!!

If you read that there are 4 cats in the room and in front of each cat is another 3 cats, then it might lead you to the answer of 16. This is not correct.

You will have reached this answer if you assumed that there was 3 cats in front of every cat in the corner. That would mean 4 cats in every coner.

You can reach this answer by dissecting each statement in the riddle. The first statement, “In a square room there are 4 cats in every corner of the room,” then we know that the room is square with 4 corners and that there are 4 cats to begin with.

The second statement of the riddle reads “In front of each cat there are 3 cats.” As we already know from the first statement that there are 4 cats in the room, each cat will see the other 3 cats in the other 3 corners of the room.

hope it helped

Answer:

$360

Step-by-step explanation:

You have to calculate the interest earned on $3,000, at the rate of 0.04 for 3 years.

P= $ 3000, R= 0.04 and t= 3 years.

3000 × 0.04 × 3= $360 (Answer)

Hope that helps

Have a good day :)

Answer:

$360.

Step-by-step explanation:

The interest earned on principal P, at the rate of r for the duration of t years is given by the equation I = Prt ........... (1)

Now, we have to calculate the interest earned on $3000, at the rate of 0.04 for 3 years.

Here, P = $3000, r = 0.04 and t = 3 years.

Hence, from equation (1), Interest earned, I = 3000 × 0.04 × 3 = $360 (Answer)

Answer:

I think it's A 3,4,6 could be the length of the triangle

Answer:

5.667 yards of fabric was used to make a cape

Step-by-step explanation:

(Total Yard of Fabric)1/3 = (What's Used)

Total Yard Fabric = 17

What's Used = x

1 third = 1/3

(17)1/3 = x

x = 17/3 or about 5.667 yards of fabric used

Double Check:

5.667/17 = 0.3334 which is about 1/3

If you want to find how much he has left:

1 - 1/3 = 2/3

17(2/3) = x

x = 34/3 or about 11.333 yards of fabric left.

Double Check:

11.333/17 = 0.6666 which is about 2/3

Answer:

x = 1

Step-by-step explanation:

1 - 5 = -4

Answer:

x = 1

Step-by-step explanation:

x - 5 = -4 *add 5 to both sides*

x = 1

hope this helps!

Step-by-step explanation:

so pretty much y= is the line that goes up and it has its own numbers right. the x= is the line that goes at the bottom right right

Answer:

its a or c

Step-by-step explanation:

Answer:

I'm pretty sure it is 85 feet

Answer:

I believe it is slope

Step-by-step explanation:

Answer:

The equivalent functions are;

[tex]g(x) = 3^{-2 \cdot x }[/tex]

[tex]g(x) = 9^{-x}[/tex]

[tex]g(x) = \left (\dfrac{1}{9} \right )^x[/tex]

Step-by-step explanation:

The given function is f(x) = (1/3)^(2·x)

[tex]f(x) = \dfrac{1}{3} ^{2 \cdot x}[/tex]

The given  function can be simplified as follows;

[tex]f(x) = \dfrac{1}{3} ^{2 \cdot x} = 3^{-1 \cdot2 \cdot x } = 3^{-2 \cdot x } = g(x)[/tex]

∴ [tex]f(x) = \dfrac{1}{3} ^{2 \cdot x}[/tex] ≡  [tex]g(x) = 3^{-2 \cdot x }[/tex]

2) The given  function can also be simplified as follows;

[tex]f(x) = \dfrac{1}{3} ^{2 \cdot x} = \left (\dfrac{1}{3} ^2\right )^x = \left (\dfrac{1}{9} \right )^x = (9^{-1}) ^x} = 9^{-1 \times x} = 9^{-x} = g(x)[/tex]

∴ [tex]f(x) = \dfrac{1}{3} ^{2 \cdot x}[/tex] ≡ [tex]g(x) = 9^{-x}[/tex]

3) The given  function can also be simplified as follows;

[tex]f(x) = \dfrac{1}{3} ^{2 \cdot x} = \left (\dfrac{1}{3} ^2\right )^x = \left (\dfrac{1}{9} \right )^x = g(x)[/tex]

∴ [tex]f(x) = \dfrac{1}{3} ^{2 \cdot x}[/tex] ≡ [tex]g(x) = \left (\dfrac{1}{9} \right )^x[/tex]

Answer:

18 cm²

Step-by-step explanation:

you simply take (d1 × d2) / 2

and there you have it : )

(d = diagonals)

I already answered on your other post on the same question, your answer is option B!

Answer:

KNMOJAO0 GPR5PWQ3]

Step-by-step explanation:

vgjaseh jvgofrAQ vfjswA

Answer:

:)

Step-by-step explanation:

well if u take 3.54 x 20%, you get 0.708 or 70 cents.. so i’m guessing 70 cents.

Answer:

x=30° y=150°

Step-by-step explanation:

The inside angles of a triangle always add up to 180. So 65+85+x=180. x would equal 30. Next a line is always 180 degrees. So to two angles on the line must total to 180 degrees. We know x is 30 degrees, so y is the remaining angle. 30 + y = 180. y is 150.

Answer:

x=30° y=150°

Step-by-step explanation:

Based on the question, each person will have 2/3 of the item

From the given information, we are told that 2 items are being divided equally among 3 people. This can be expressed as:

For each person;

x = 1 person

Take the ratio to have:

2/x = 3/1

3x = 2

x = 2/3

This shows that each person will have 2/3 of the item

Learn more on ratio here: https://brainly.com/question/2914376

Answer:

2/3  

Step-by-step explanation:

The yellow one with red.

Answer:

I cant get the pic

Step-by-step explanation:

Answer:

the building is thirty feet tall

Step-by-step explanation:

so make a ratio of shadow to joey

5:45

simplify that to

1:9

so you can now divide 270 by nine

30

the building is thirty feet tall

Answer:

Looks like true to me

Step-by-step explanation:

y = x +6

"A number" means the unknown.

"Difference" means to subtract.

We already know two numbers, 8 and 14, but we don't know "A number."

We can put v as our variable. You can put any type of letter.

Therefore, the answer is: v - 8 = 14

Answer:

≈ 33°

Step-by-step explanation:

So, first, you can draw a visual. Refer to the image attached below:

Using this info, you can use trigonometric ratios. Recall that:

tangent = opposite side/adjacent side

sine = opposite side/ hypotenuse

cosine = adjacent side/hypotenuse

You can clearly see that you have an opposite side and a given hypotenuse. This means we'll be using sine.

So:

[tex]sinX = \frac{150}{275}[/tex]

However, we're not trying to find sinX, we're trying to find X.

So we would have to use inverse sine, which would then be:

[tex]X = sin-1 (\frac{150}{275} )[/tex]

Put this into your calculator, and:

X ≈ 33.05573115...

Answer:

For  the volume, the formula is length*width*height

so

(2)(1.5)(1.5)=4.5

In other words, your answer would be 4.5

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

(2)(1.5)(1.5)=4.5

Hope This Helps!!

Answer:

y = 240,000(1.048)^t

Step-by-step explanation:

Initial population: p = 240,000

Annual growth rate: 4.8% = 0.048

Number of years: t

Population in year t: y

y = p(1 + r)^t

y = 240,000(1 + 0.048)^t

y = 240,000(1.048)^t

Answer:

1. 30

2. 10

3. -10

30, 10, and -10

60 - 30 - 30

50 - 40 = 10

40 - 50 = -10