How can you write and solve an addition or subtraction equation?

Find an equation for the line that passes through the points (-4.-2) and (5,1)

skelet666 [1.2K]

Answer:

y= $\frac{1}{3}$ x- $\frac{2}{3}$

Step-by-step explanation:

The first step to making an equation of a line is finding the slope. To do this, we can use the point slope formula: $\frac{y_2-y_1}{x_2-x_1}$

In this case,

y2=1

y1= -2

x2=5

x1= -4

plug this into the formula: $\frac{1-(-2)}{5-(-4)}$ , which gives us 3/9, or 1/3 as the slope.

Now we have the equation y=1/3x+b. Let's find b! We can do this by plugging in one of the points into our new equation, let's use (5,1)

1=y, 5=x

1= $\frac{1}{3}$ (5)+b

b= - $\frac{2}{3}$

now, we plug b= -2/3 into our equation, and we finally get y= $\frac{1}{3}$ x- $\frac{2}{3}$

6 0

3 years ago

Ok, do this =have 25 points

Irina-Kira [14]

Answer:

Interest: 3.25%

$ Amount after 3 Years: $1,317.00

Step-by-step explanation:

If Robert invest 1200 dollars in the CD for a period of 3 years, he will earn 3.25% annual interest.

First, converting R percent to r a decimal

r = R/100 = 3.25%/100 = 0.0325 per year.

Solving our equation:

A = 1200(1 + (0.0325 × 3)) = 1317

A = $1,317.00

The total amount accrued, principal plus interest, from simple interest on a principal of $1,200.00 at a rate of 3.25% per year for 3 years is $1,317.00.

I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!

5 0

3 years ago

you are given a fraction in simplest form.the numerator is not zero. when you write the fraction as a decimal,it is a repeating

vampirchik [111]

You are given a fraction in simplest form. The possible denominators are 3, 6, 7, 9

<u>Solution:</u>

Given that, You are given a fraction in simplest form.

The numerator is not zero. When you write the fraction as a decimal, it is a repeating decimal.

We have to find which numbers from 1 to 10 could be the denominator

Now, let us check each number by considering the numerator as 1

Then,

$1 \rightarrow \frac{1}{1}=1$ ⇒ non repeating

$2 \rightarrow \frac{1}{2}=0.5$ ⇒ non repeating

$3 \rightarrow \frac{1}{3}=0.333333333333$ ⇒ repeating

$4 \rightarrow \frac{1}{4}=0.25$ ⇒ non repeating

$5 \rightarrow \frac{1}{5}=0.2$ ⇒ non repeating

$6 \rightarrow \frac{1}{6}=0.1666666666666$ ⇒ repeating

$7 \rightarrow \frac{1}{7}=0.1428571428571$ ⇒ repeating

$8 \rightarrow \frac{1}{8}=0.125$ ⇒ non repeating

$9 \rightarrow \frac{1}{9}=0.11111111111111$ ⇒ repeating

$10 \rightarrow \frac{1}{10}=0.1$ ⇒ non repeating

If we want to test with any other numerator. Suppose 5, then numerator is 5 x 1, which means 5 divided by denominator equals with 5 x 1 divided by denominator. So its again product of the numerator we want and above values, then, non repeating stays non repeating and repeating stays repeating.

Hence, the possible denominators are 3, 6, 7, 9

7 0

3 years ago

Yesterday 170 guests at a hotel called room service 255 gas did not call for room service what percentage of the guest at the ho

just olya [345]

I believe it’s 0.6% I just did 170/255

6 0

3 years ago

Complete the proof....

abruzzese [7]

Answer:

The correct options are;

1. Definition of supplementary angles

2. m∠1 + m∠2 = m∠1 + m∠3

3. m∠2 = m∠3

4. Definition of Congruent Angles

Step-by-step explanation:

The two column proof is presented as follows;

Statement ${}$ Reason

1. ∠1 and ∠2 are supplementary ${}$ Given

${}$ ∠1 and ∠3 are supplementary

2. m∠1 + m∠2 = 180° ${}$ Definition of supplementary angles

${}$ m∠1 + m∠3 = 180°

3. m∠1 + m∠2 = m∠1 + m∠3 ${}$ Transitive Property

4. m∠2 = m∠3 ${}$ Subtraction Property of Equality

5. ∠2 ≅ ∠3 ${}$ Definition of Congruent Angles

Given that angles ∠1 and ∠2 are supplementary angles and angles ∠1 and ∠3 are are also supplementary angles, then the sums of m∠1 + m∠2 and m∠1 + m∠3 are equal, therefore, ∠2 and ∠3 have equal quantitative value and therefore ∠2 = ∠3 and by definition, ∠2 ≅ ∠3.

3 0

3 years ago