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2 years ago

6

What is the equation of the line in slope intercept form

1 answer:

9966 [12]2 years ago

4 0

Answer:

lope-intercept form, y=mx+b, of linear equations

Step-by-step explanation:

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A home’s value increases at an average rate of 5.5% each year. The current value is $120,000. What function can be used to find

notsponge [240]

So we need to cover 5.5% into a decimal.

0.055 = 5.5%

The house value is 120,000.
So

(1.055x) * (120,000)=

So

f(x)=1.055x * 120,000

7 0

3 years ago

Read 2 more answers

Answer Question number 5 <br> Plzzzzzz

loris [4]

Answer:

Step-by-step explanation:

a = -4/3

d= -1 +4/3 =1/3

last term = 4 1/3 = 13/3

nth term = a +(n-1)d

$\frac{-4}{3}+(n-1)*\frac{1}{3}=\frac{13}{3}\\\\(n-1)*\frac{1}{3}=\frac{13}{3}-\frac{-4}{3}\\\\(n-1)*\frac{1}{3}=\frac{13+4}{3}\\\\(n-1)*\frac{1}{3}=\frac{17}{3}\\\\n-1=\frac{17}{3}*\frac{3}{1}\\\\n-1=17\\\\n=17+1=18$

Middle terms are 9the term and 10th term

$t_{9}=\frac{-4}{3}+8*\frac{1}{3}=\frac{-4}{3}+\frac{8}{3}=\frac{4}{3}\\\\t_{10}=\frac{-4}{3}+9*\frac{1}{3}=\frac{-4}{3}+\frac{9}{3}=\frac{5}{3}\\\\ t_{9}+t_{10}=\frac{4}{3}+\frac{5}{3}=\frac{9}{3}=3\\\\t_{9}+t_{10}=3$

3 0

3 years ago

Given segments AB and CD intersect at E.

nata0808 [166]

The length of a segment is the distance between its endpoints.

$\mathbf{AB = 3\sqrt{2}}$
AB and CD are not congruent
AB does not bisect CD
CD does not bisect AB

<u>(a) Length of AB</u>

We have:

$\mathbf{A = (1,2)}$

$\mathbf{B = (4,5)}$

The length of AB is calculated using the following distance formula

$\mathbf{AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

So, we have:

$\mathbf{AB = \sqrt{(1 - 4)^2 + (2 - 5)^2}}$

$\mathbf{AB = \sqrt{18}}$

Simplify

$\mathbf{AB = 3\sqrt{2}}$

<u>(b) Are AB and CD congruent</u>

First, we calculate the length of CD using:

$\mathbf{CD = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

Where:

$\mathbf{C = (2, 4)}$

$\mathbf{D = (2, 1)}$

So, we have:

$\mathbf{CD = \sqrt{(2 -2)^2 + (4 - 1)^2}}$

$\mathbf{CD = \sqrt{9}}$

$\mathbf{CD = 3}$

By comparison

$\mathbf{CD \ne AB}$

Hence, AB and CD are not congruent

<u>(c) AB bisects CD or not?</u>

If AB bisects CD, then:

$\mathbf{AB = \frac 12 \times CD}$

The above equation is not true, because:

$\mathbf{3\sqrt 2 \ne \frac 12 \times 3}$

Hence, AB does not bisect CD

<u>(d) CD bisects AB or not?</u>

If CD bisects AB, then:

$\mathbf{CD = \frac 12 \times AB}$

The above equation is not true, because:

$\mathbf{3 \ne \frac 12 \times 3\sqrt 2}$

Hence, CD does not bisect AB

Read more about lengths and bisections at:

brainly.com/question/20837270

7 0

2 years ago

Colin’s piano lesson is 45 minutes, or 3/4 of an hour, long. If he practices 6 different songs and spends an equal amount of tim

frosja888 [35]

Answer: $\frac{1}{8}$ hour

Step-by-step explanation:

Given: The total time Collin spent on 6 songs = $\frac{3}{4}\text{ hour}$

Now, the fraction of an hour does he spend practicing each song is given by :-

$\frac{\text{Total time taken}}{\text{Total songs}}=\frac{\frac{3}{4}}{6}=\frac{3}{4\times6}=\frac{1}{8}\text{hour}$

The fraction of an hour does he spend practicing each song= $\frac{1}{8}$

5 0

3 years ago

Read 2 more answers

Steve spent $24 on dog grooming supplies he washed six dogs and charge the owner $12 per dog wash how much money did steve earn

Alisiya [41]

12×6= $72
Steve earn $72

5 0

2 years ago