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2 years ago

The coordinates (-5,2) represent which point?

Mathematics

2 answers:

VLD [36.1K]2 years ago

4 0

Answer:

Step-by-step explanation:

PSYCHO15rus [73]2 years ago

3 0

Answer:

Step-by-step explanation:

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On a coordinate plane, a line goes through (negative 3, 2) and (0, 1). A point is at (3, 4). What is the equation of the line th

Novay_Z [31]

Answer:

$y=3x-5$

Step-by-step explanation:

step 1

Find the slope of the given line

we have

(-3,2) and (0,1)

The slope m is

$m=(1-2)/(0+3)=-1/3$

step 2

Find the slope of the line perpendicular to the given line

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of its slopes is -1)

The slope is

$m=3$

step 3

Find the equation of the line in point slope form

we have

$m=3$

$point(3,4)$

$y-4=3(x-3)$ ----> equation in point slope form

Convert to slope intercept form

$y=3x-9+4$

$y=3x-5$

6 0

3 years ago

Read 2 more answers

What is the factorization of 49b2 − 81?

Ann [662]

Answer:

Step-by-step explanation:

49b² - 81 = (7b)² - 9 ²

by identity : 49b² - 81 = (7b - 9)( 7b + 9)

5 0

3 years ago

Read 2 more answers

Let f(x)=e^x and G(x)=x+6. What are the domain and range of g(f(x))?

Lena [83]

Answer:

Domain and Range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively

Step-by-step explanation:

We have the functions, f(x) = eˣ and g(x) = x+6

So, their composition will be g(f(x)).

Then, g(f(x)) = g(eˣ) = eˣ+6

Thus, g(f(x)) = eˣ+6.

Since the domain and range of f(x) = eˣ are all real numbers and positive real numbers respectively.

Moreover, the function g(f(x)) = eˣ+6 is the function f(x) translated up by 6 units.

Hence, the domain and range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively.

3 0

3 years ago

Topic E: Expressing Operations in Algebraic Form <br><br> I NEED THE ANSWER AS SOON AS POSSIBLE

emmainna [20.7K]

Answer:

3) 2p - 4

1) 8 - d

2) (d + 9) - 6

3) 1/2(x + s)

6 0

3 years ago

Marlina received her salary on Friday. She spent one-half of her salary on rent and then spent $338 on her electric and water bi

Alenkinab [10]

Answer:

$654

Step-by-step explanation:

Let the amount of money Marlina's received for her salary be x.

We know that she spent 1/2 of her salary on rent and then $338 on her electric and water bill. So, after this, she will have:

$x-\frac{1}{2}x-338$

Left of her salary.

Next, she spent one half of what was left. So, it will be one-half of the equation. Therefore, she will have spent:

$x-\frac{1}{2}x-338-\frac{1}{2}(x-\frac{1}{2}x-338)$

Finally, she spent $56 for gas. So, we will subtract 56:

$x-\frac{1}{2}x-338-\frac{1}{2}(x-\frac{1}{2}x-338)-56$

And we know that after all of the expenses, she will have $102 left. Therefore:

$x-\frac{1}{2}x-338-\frac{1}{2}(x-\frac{1}{2}x-338)-56=102$

We want to know how much Marlina spent on rent. So, let's find her salary x first.

First, let's distribute the 1/2:

$x-\frac{1}{2}x-338-\frac{1}{2}x+\frac{1}{4}x+169-56=102$

Combine like terms:

$(x-\frac{1}{2}x-\frac{1}{2}x+\frac{1}{4}x)+(-338+169-56)=102$

Evaluate:

$\frac{1}{4}x-225=102$

Add 225 to both sides:

$\frac{1}{4}x=327$

Multiply both sides by 4:

$x=\$ 1308$

Therefore, Marlina received a total of $1308 for her salary.

We know that she spent half of her salary on rent. Therefore, the amount she spent on rent is:

$r=\frac{1}{2}(1308)=\$ 654$

And we're done!

7 0

3 years ago