All categories

3 years ago

How do I do this problem

Mathematics

1 answer:

Olegator [25]3 years ago

4 0

Reduce the expression, if possible, by cancelling the common factors.
-9

You might be interested in

Parents wish to have $160,000 available for a child's education. If the child is now

Neporo4naja [7]

A=p (1+I/k)^kn

A future value 160000
p present value ?
I interest rate 6/100=0.06
K compounded semiannual 2
T time 18-7=11years

160000=p (1+0.06/2)^(2×11)
Divide each side by (1+0.06/2)^(2×11)
P=160,000÷(1+0.06÷2)^(2×11)
P=83,502.8

Hope it helps:-)

4 0

3 years ago

Find the diameter of a circle whose equation is

Olin [163]

Answer:

D) 20

Step-by-step explanation:

x^2 + (y - 2)^2=100

This can be rewritten as

(x-0)^2 + (y - 2)^2=10^2

This is in the form

(x-h)^2 + (y - k)^2=r^2

The radius is 10

The diameter is 2 times the radius

d = 2*r = 2*10 = 20

7 0

3 years ago

what is the y-intercept of the line perpendicular to the line y=-3/4x+5 that includes the point (-3,-3)?

Deffense [45]

Answer:

Step-by-step explanation:

For this question, your friend is the point-slope form.

Point-slope form = $y-y_1 = m(x-x_1)$

The only variables you replace are m = slope, y1 = y of a given point, and x1 = x of a given point.

First, we need to find the slope that is perpendicular to the equation $y=-\frac{3}{4}x+5$

An equation that is perpendicular to another equation have to be negative reciprocals (negative inverse) of each other.

If the slope is 3, then the negative reciprocal of 3 is $-\frac{1}{3}$ .

So, since the given slope is -3/4, the negative reciprocal is $\frac{4}{3}$ .

We will use the negative reciprocal as m since we are trying to find the equation of line that includes (-3, -3) and is perpendicular to the other equation.

We will use point slope form using the (-3, -3) points and negative reciprocal as m.

$y-y_1 = m(x-x_1)\\y-(-3) = \frac{4}{3} (x-(-3))\\y+3=\frac{4}{3}(x+3)$

Now, we need to convert this into slope-intercept form. The reason why we need to do this is because y = mx + b, where b is the y-intercept. To do this, solve for y - or in other words, isolate y..

$y+3=\frac{4}{3}(x+3)\\y+3=\frac{4x}{3}+4\\y+3-3=\frac{4x}{3}+4-3\\y=\frac{4}{3}x+1$

The y-intercept of the line is 1.

3 0

3 years ago

1. m∠ABD=50°, m∠DBC=40° Given 2. m∠ABD+m∠DBC=m∠ABC Response area 3. Response area Substitution Property of Equality 4. Response

galina1969 [7]

Answer:

<abd+<dbc=<Abc

50+40=90

triangle abc is a right angled triangle being one angle 90 degree

6 0

3 years ago

Convert 6\5 into a mixed number

netineya [11]

6/5 into a mixed number is 5.

4 0

3 years ago