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Molodets [167]
2 years ago
5

Find the value of x. The diagram is not to scale.

Mathematics
1 answer:
Sergeu [11.5K]2 years ago
7 0

Answer:

d. none of these

Step-by-step explanation:

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The vertices of a rectangle are at (−1, −5), (3, −5), (3, −7), and (−1, −7). What is the length of the shorter side of the recta
Sergio [31]

Answer:

2

Step-by-step explanation:

hope this helps

4 0
1 year ago
Read 2 more answers
2x^{3}+30xx^{2} +72x=0 solve using zero product property
Goshia [24]

Answer:

Values of x are: x=0 or x=-3 or x=-12

Step-by-step explanation:

The equation given to solve using zero product property is 2x^3+30x^2+72x=0

Zero property rule states that if ab=0 then a=0 or b=0

Taking x common from the equation:

2x^3+30x^2+72x=0\\x(2x^2+30x+72)=0\\

Applying zero product rule

x(2x^2+30x+72)=0\\x=0 \ or \ 2x^2+30x+72=0

Now, solving 2x^2+30x+72=0

Using quadratic formula to find value of x

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Putting values

$x=\frac{-30\pm\sqrt{(30)^2-4(2)(72)}}{2(2)}$\\$x=\frac{-30\pm\sqrt{324}}{4}$\\$x=\frac{-30\pm18}{4}$\\$x=\frac{-30+18}{4} \ or \ x=\frac{-30-18}{4}$  \\x=-3 \ or \ x=-12

So, Values of x are: x=0 or x=-3 or x=-12

8 0
3 years ago
Johnny has a toy tent, as seen below. The area of the base is 60 in2. The height is 8 inches. Calculate the maximum amount of wa
marshall27 [118]

Answer:

the tent can hold 8.66 lb of water (or 240 in³ of it)

Step-by-step explanation:

assuming that the tent base is a rectangular area , and the vertical cross section is triangular , then the volume of the tent will be:

Volume of the tent = Area* height/2 = 60 in² * 8 in / 2 = 240 in³

assuming the density of water as 62.4 lb/ft³ then

mass of water = density * volume = 62.4 lb/ft³ * 240 in³ * (1 ft / 12 in)³ = 8.66 lb

then the tent can hold 8.66 lb of water (or 240 in³ of it)

6 0
3 years ago
Hey can u guys help me out please
Vinil7 [7]
Yes they are congruent
Congruent means (In identical form)
5 0
3 years ago
If human height were quantized in one-foot increments, what would happen to the height of a child as she grows up?
agasfer [191]
I believe what the problem means is that the height of the child, if he/she grows in height, the mesurements are equal to 1 ft, 2 ft, 3 ft, 4 ft, etc only. and no decimals or fractions in between. it is also said that a human stops growing at the age of 20 naturally, hence with this increment, a child can grow incredibly very tall.
7 0
3 years ago
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