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2 years ago

What is the value of p in the question below. 10x9/2x4= px 5

Mathematics

1 answer:

ycow [4]2 years ago

7 0

Answer:

p = 5

Step-by-step explanation:

We have that:

$\frac{x^{a}}{x^{b}} = x^{a-b}$

$\frac{x^{9}}{x^{4}} = x^{9-4} = x^{5}$

10/2 = 5

Then

$\frac{10x^{9}}{2x^{4}} = 5x^{9-4} = 5x^{5}$

Finding p:

$5x^{5} = px^{5}$

$p = \frac{5x^{5}}{x^{5}}$

$p = 5$

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KengaRu [80]

Ansswer;wait brb.lemme ask my tutor

Step-by-step explanation:

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3 years ago

Thru (4,0) parallel to y=1/2x+5

Ne4ueva [31]

Paralell has same slope
y=mx+b
m=slope
y=1/2x+b
find b
(x,y)
(4,0)

x=4
y=0
0=1/2(4)+b
0=2+b
minus 2 both sides
-2=b

the equaiton is
y=1/2x-2
or
x-2y=4

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2 years ago

the greater of two numbers is 1 more than twice smaller. three times greater exceeds 5 times the smaller by 10. find the three n

krek1111 [17]

<h3><u>The value of the greater number is 15.</u></h3><h3><u>The value of the smaller number is 7.</u></h3>

x = 2y + 1

3x = 5y + 10

Because we have a value for x we can plug this value in to find the value of y.

3(2y + 1) = 5y + 10

Distributive property.

6y + 3 = 5y + 10

Subtract 5y from both sides.

y + 3 = 10

Subtract 3 from both sides.

y = 7

We can plug this value back into the original equation to find the value of x.

x = 2(7) + 1

x = 15

7 0

3 years ago

What is the equation of the line that goes through (-5,0) and (-4,4)

Tasya [4]

Answer:

$y=4x+20$

Step-by-step explanation:

To write an equation, use the slope-intercept equation:

$y=mx+b$

M is the slope and b is the y-intercept.

First, find the slope by using the slope formula for when you have two points:

$\frac{y(2)-y(1)}{x(2)-x(1)}=\frac{rise}{run}$

Rise over run is the change in the y-axis over the change in the x-axis. Substitute values:

$(-5,0)(-4,4)\\(-5(x1),0(y1))\\(-4(x2),4(y2))\\\\\frac{4-0}{-4-(-5)}$

Simplify parentheses (two negatives make a positive) and simplify:

$\frac{4-0}{-4+5}\\\\\frac{4}{1}=4$

The slope, m, is 4. Insert this information into the equation:

$y=4x+b$

Now, take one of the points and insert into the slope-intercept formula:

$(-5,0)\\(-5(x),0(y))\\\\0=4(-5)+b$

Solve for b, the y-intercept. Simplify multiplication:

$0=-20+b$

Add 20 to both sides and simplify:

$0+20=-20+20+b\\20=b\\b=20$

The y-intercept, b, is 20. Insert this value into the equation:

$y=4x+20$

Done.

7 0

3 years ago

The points (10,8) and (4,5) fall on a particular line. What is its equation in point-slope form?

USPshnik [31]

Answer:y=1/2x+3

No Parenthesis or anything.

4 0

2 years ago