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ASHA 777 [7]
3 years ago
8

Write an equation, in slope-intercept form using the given info. (5, 4) m= -2/3

Mathematics
1 answer:
ELEN [110]3 years ago
8 0

Answer:

y = -2/3x + 22/3

Step-by-step explanation:

An equation is written in slope-intercept form when it is written as:

y = mx + b, where m is the slope of the line and b is the y-intercept.

Therefore, because we are given m and a coordinate pair of the line, we can use the point-slope formula to make the equation.

The point-slope formula is \boxed{y-y_{1}=m(x-x_{1})}.

Because we are given only one coordinate pair, it is labeled as (x_{1}, y_{1}).

Now, just plug in this information and solve the equation.

y - 4 = -2/3(x - 5) Distribute the -2/3 throughout the terms.

y - 4 = -2/3x + 10/3 Add 4 to both sides of the equation.

y = -2/3x + 22/3

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Antonio uses a calculator to find 38 minus StartFraction 44 minus 16 over 4 EndFraction and gets a result of –10. Which statemen
frozen [14]

Answer:

The second statement is Correct.

Step-by-step explanation:

Consider the provided information.

It is given that Antonio uses a calculator to find 38-\frac{44-16}{4} and gets a result of –10.

38-\frac{44-16}{4}=38-\frac{28}{4}

=38-7

=31

So, the first statement is incorrect.

2nd statement: Antonio found the answer for 38-44-\frac{16}{4}

38-44-\frac{16}{4}=-6-4

38-44-\frac{16}{4}=-10

The second statement is Correct.

Third statement: Antonio found the answer for \frac{38-44-16}{4}

\frac{38-44-16}{4}=-5.5

So, the third statement is incorrect.

Fourth statement: Antonio found the answer for 38+\frac{44-16}{4}

38+\frac{44-16}{4}=38+7

38+\frac{44-16}{4}=45

So, the fourth statement is incorrect.

Hence, the second statement is Correct.

5 0
3 years ago
Read 2 more answers
When the sum of a number and 3 is subtracted from 10 the result is 5. What is the integer
Rashid [163]

In algebraic terms this is:

10-(x+3)=5\\10-x-3=5\\10-x=5+3\\10-x=8\\-x=8-10\\-x=-2\\x=2

The integer is 2.

4 0
3 years ago
10 pts
RoseWind [281]
263.25 is the volume of the box in inches cubes you have to multiply 4.5 by 9 by 6.5
6 0
3 years ago
Read 2 more answers
I need a little extra help with number three
diamong [38]

Answer:

The answer to your question is:

Step-by-step explanation:

Data

f(x) = -2x² + 8x - 2

Process

                -2x² + 8x = y + 2

                -2(x² - 4x + 4) = y + 2 - 8

                -2(x - 2)² = y - 6

                    (x - 2)² = 1/2 (y - 6)

Vertex = (2, 6)

Axis of symmetry =   x = 2

y-intercept

                 f(0) = -2(0)² + 8(0) - 2

                 f(0) = 0 + 0 - 2

                 f(0) = -2

Domain    (-∞, ∞)

Range    (-∞, 6]

See the graph below

6 0
3 years ago
Evaluate. Write your answer as a fraction or whole number without exponents.
Aleks [24]
The answer to the question is 1/27
3 0
3 years ago
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