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3 years ago

The quotient of a number and -2 is less than 30

Mathematics

1 answer:

kvasek [131]3 years ago

3 0

X/-2<30
x<-60

Answer: x<-60

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What is the value of x in the figure? Enter your answer in the box.<br> 145°<br> (2x + 15)°<br> x=

Nikolay [14]

Answer:

Answer: x=65

Step-by-step explanation:

Since they're vertical angles both sides are equal to 145 degrees

So, 145-15= 130 to get rid of the constant

Then, 130/2=65

To check you work add up all of your solutions to get 145

2*65=130 & 130+15=145

Therefore, x=65

8 0

2 years ago

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Find the midpoint of the line segment whose endpoints are (3, 10) and (7, 8).

Stels [109]

Answer:

Option 2 is correct.

Step-by-step explanation:

Given the coordinates of lines segment (3, 10) and (7, 8). we have to find the mid-point of given line segment.

Mid-point formula states that if $(x_1,y_1)$ and $(x_2,y_2)$ are the coordinates of end points of line segment then the coordinates of mid-point are

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

∴ Coordinates of mid-point of line segment joining the points (3, 10) and (7, 8) are

$(\frac{3+7}{2},\frac{10+8}{2})=(\frac{10}{2},\frac{18}{2})=(5,9)$

Hence, option 2 is correct.

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2 years ago

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Otrada [13]

Answer:

h = 6

Step-by-step explanation:

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3 years ago

Find the product of<br> (x2 + 3x + 1)(x2 + x + 2)

Bogdan [553]

Answer: $x^4+4x^3+6x^2+7x+2$

Step-by-step explanation:

To solve the exercise you must apply the following proccedure:

- Apply the distributive property.

- Keep on mind that when you multiply two powers with equal base, you must add the exponents.

- Add like terms.

Therefore, you obtain the following product:

$=x^{(2+2)}+x^{(2+1)}+2x^2+3x^{(1+2)}+3x^{(1+1)}}+6x+x^{2}+x+2\\=x^4+x^3+2x^2+3x^3+3x^2+6x+x^2+x+2\\=x^4+4x^3+6x^2+7x+2$

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3 years ago

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The volume v of a gas kept at constant temperature varies inversely with the pressure p. If the pressure is 24 pounds per square

daser333 [38]

Answer:

$V=12\ ft^{3}$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form $y*x=k$ or $y=k/x$

In this problem

$P*V=k$

step 1

Find the value of K

For $P=24\ psi ,V=15\ ft^{3}$

substitute

$24*15=k$

$k=360$

the equation is $P*V=360$

step 2

For $P=30\ psi ,V=\ ft^{3}$

substitute in the equation

$(30)*V=360$

$V=360/30=12\ ft^{3}$

5 0

3 years ago