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3 years ago

How do you work this problem? 10x2 +25x

Mathematics

1 answer:

Rudiy273 years ago

8 0

Answer:

x=-5/2,0

Step-by-step explanation:

It is solved by first factorizing it

10x²+25x=5x(2x+5)=0

Finding the zeros

5x=0x=0/5=0

2x+5=0

x=-5/2

Therefore x is -5/2 or 0

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Write an equation in slope-intercept form for a line that passes through the point (1, 6) and

Mars2501 [29]

Answer:

y=2x+4

Step-by-step explanation:

If the line has a slope of two, that means it goes up 2 on the y axis for every 1 on the x axis. So, if it goes through (1,6), then you can subtract 1 from the x axis and two from the y axis to find the y intercept, (0,4).

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3 years ago

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

What is the area of a sector with a central angle of (2pi/3) radians and a diameter of 12 in?

Stels [109]

Answer:

The area of the sector is $37.68\ in^{2}$

Step-by-step explanation:

step 1

Find the area of the circle

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=12/2=6\ in$ ----> the radius is half the diameter

substitute

$A=(3.14)(6)^{2}$

$A=113.04\ in^{2}$

step 2

Find the area of a sector with a central angle of (2pi/3)

Remember that

The area of $113.04\ in^{2}$ subtends a central angle of $2\pi \ radians$

by proportion

Let

x----> the area of the sector

$\frac{2\pi}{113.04}=\frac{(2\pi/3)}{x}\\ \\x=113.04*(2\pi/3)/(2\pi)\\ \\x=37.68\ in^{2}$

8 0

3 years ago

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Pachacha [2.7K]

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3 years ago

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Lena [83]

Answer:

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