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Vika [28.1K]
3 years ago
14

20 sum-points please help thanks

Mathematics
2 answers:
Angelina_Jolie [31]3 years ago
5 0

Y = x-4

-4x +3y = -3


Replace y in the second equation with the first equation:


-4x +3(x-4) = -3

Simplify:

-4x + 3x-12 = -3

Combine like terms:

-x -12 = -3

Add 12 to each side:

-x = 9

Divide both sides by -1:

x = -9


Since -9 is only in one answer choice, the answer is (-9, -13)


iogann1982 [59]3 years ago
4 0

Answer:

(-9,-13)

Step-by-step explanation:

y = x-4

-4x+3y = -3

Substitute y =x-4 into the second equation

-4x +3(x-4)= -3

Distribute

-4x+3x-12 = -3

Combine like terms

-x -12 = -3

Add 12 to each side

-x -12+12 = -3+12

-x = 9

Multiply by -1

-1*-x = 9*-1

x=-9

Now we need to find y

y= x-4

y = -9-4

y=-13

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Please I need help!
Monica [59]

Answer:

1)

\text{ Slope = -3}

2)

y+4=-\frac{7}{8}(x-7)

3)

y=-\frac{7}{8}x+\frac{17}{8}

Step-by-step explanation:

We want to write the equation of the line that passes through the points (7, -4) and (-1, 3) first in point-slope form and then in slope-intercept form.

1)

First and foremost, we will need to find the slope of the line. So, we can use the slope-formula:

m=\frac{y_2-y_1}{x_2-x_1}

Let (7, -4) be (x₁, y₁) and let (-1, 3) be (x₂, y₂). Substitute them into our slope formula. This yields:

m=\frac{3-(-4)}{-1-7}

Subtract. So, our slope is:

m=\frac{7}{-8}=-7/8

2)

Now, let's use the point-slope form:

y-y_1=m(x-x_1)

We will substitute -7/8 for our slope m. We will also use the point (7, -4) and this will be our (x₁, y₁). So, substituting these values yield:

y-(-4)=-\frac{7}{8}(x-7)

Simplify. So, our point-slope equation is:

y+4=-\frac{7}{8}(x-7)

3)

Finally, we want to convert this into slope-intercept form. So, let's solve for our y.

On the right, distribute:

y+4=-\frac{7}{8}x+\frac{49}{8}

Subtract 4 from both sides. Note that we can write 4 using a common denominator of 8, so 4 is 32/8. This yields:

y=-\frac{7}{8}x+\frac{49}{8}-\frac{32}{8}

Subtract. So, our slope-intercept equation is:

y=-\frac{7}{8}x+\frac{17}{8}

And we're done!

7 0
3 years ago
Read 2 more answers
Solve x – 7 > –8.
IgorC [24]
Question 1.

x - 7 > - 8

Adding 7 to both sides, we get:

x - 7 + 7 > - 8 + 7

x > -1

Thus the answer to the inequality is option Fourth.

Question 2.

A number exceeds 66. Let that number be x. The number exceeds 66 means that the number is larger than 66. So in form of an expression we can write the inequality as:

x is greater than 66

x > 66

So, option 1st gives the correct answer.


Question 3.

The tiles are square shaped and area of a square can be calculated as the square of its Length.

Area of square = (Length)²

If we are given the Area, we can find the length as:

Length = \sqrt{Area}

For Tile A, the length will be:

Length= \sqrt{9}=3  
So length is a Rational number

For Tile B, the length will be:

Length= \sqrt{25}=5  
So length is a Rational number

For Tile C, the length will be:

Length= \sqrt{34}  
So, Length is not Rational.

For Tile D, the length will be:

Length= \sqrt{76}  
Length is not Rational

Thus, the lengths of Tile A and Tile B are rational only.

Therefore, the correct answer is 1st option  
8 0
3 years ago
PLEASE HELP I WILL GEIVE BRAINLIEST AND 20 POINTS Which are characteristics of scientific questions? Check all that apply.
Vera_Pavlovna [14]

Answer: 3 and 4

Step-by-step explanation: I took the quiz

3 0
2 years ago
Read 2 more answers
Write an algebraic rule to describe the translation c (5,-4) c'(-2,1)
Sauron [17]
We can solve this by using the formula:
(x, y) (x + a, y + b) = (5,-4) (-2,1)

So, plugging in the values and solving for a and b,
5 + a = -2
a = -8

-4 + b = 1
b = 5

Therefore, the translation is
(x,y) (x - 8, y +5)
5 0
2 years ago
A vitamin C tablet contains 1/40 of a gram of vitamin C. You take 1 1/2 tablets every day. How many grams of vitamin C do you ta
enyata [817]
1/40*1.5=3/80=0.0375
8 0
3 years ago
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