Use the distributive property to simplify the expression: -4(4x + 3) + (7x - 2)

Answer:

[tex]y-9=-\frac{3}{7} (x+4)[/tex]

Step-by-step explanation:

Slopes are negative reciprocals when two lines are perpendicular

[tex]m= - \frac {3}{7}[/tex]

Equation of straight line in point-slope form is given as

[tex]y-y_1=m(x-x_2)[/tex]

Here [tex](x_1, y_1)= (-4, 9)[/tex]

[tex]y-9=-\frac{3}{7} (x+4)[/tex]

The equation of line passes through the point (-4, 9) will be;

⇒ y - 9 = - 3/7x - 12/7

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line are (-4, 9).

And, The perpendicular line is,

⇒ y - 2 = 7/3 (x + 5)

Now,

Since, The equation of line passes through the point (- 4, 9).

So, We need to find the slope of the line.

Since, The product of the slope of perpendicular line is - 1.

Hence, Slope of the perpendicular line is,

⇒ y - 2 = 7/3 (x + 5)

m = dy/dx = 7/3

m = 7/3

Thus, The equation of line with slope - 3/7 is,

⇒ y - 9 = - 3/7 (x - (-4))

⇒ y - 9 = - 3/7 (x + 4)

⇒ y - 9 = - 3/7x - 12/7

⇒ y = - 3/7x + 9 - 12/7

⇒ y = - 3/7x + 51/7

Therefore, The equation of line passes through the point (-4, 9) will be;

⇒ y - 9 = - 3/7x - 12/7

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ7

Answer:

45/13 in decimal form rounded to the nearest tenth:

[tex] \frac{45}{13} = 3.46 ≈\boxed{3.5}(approx) \\ [/tex]

Answer=3.5

Step by step: 45/13=3.5

Answer:

A

Step-by-step explanation:

Area of shape A:  (3x² + 2)(7x² + 4x + 8) = 21x^4 + 12x³ + 38x² + 8x + 16

Area of shape B: (3x² + 2)(3x² + 2) = 9x^4 + 12x² + 4

Difference:  12x^4 + 12x³ + 26x² + 8x + 12

Given:

The set of ordered pairs in the options:

(a) (2, 3), (2, 2), (2, 4), (2, 9), (2, –2)

(b) (1, 5), (2, 6), (1, 6), (4, 5), (1, 4)

(c) (1, 0), (2, 0), (1, 3), (4, 3), (5, 7)

(d) (5, 1), (7, 3), (9, 5), (11, 7), (13, 9)

To find:

The set of ordered pairs that could represent a function.

Solution:

A set of ordered pairs represent a function, if there exist unique output (y-value) for each input (x-value).

In option (a) we have, five output values y=3,2,4,9,-2 for single input x=2. So, it is not a function.

In option (b) we have, three output values y=5,6,4 for single input x=1. So, it is not a function.

In option (c) we have, two output values y=0,3 for single input x=1. So, it is not a function.

In option (d), all inputs has unique output.

Therefore, the correct option is (d).

Answer:

(5, 1), (7,3), (9,5), (11, 7), (13, 9)

Step-by-step explanation:

Answer:

y=-3x+2

Step-by-step explanation:

Slope-intercept form is given by the equation y=mx+b, where m is defined as the slope and b is defined as the y-intercept (the value on the y-axis that the line crosses). First we can determine the slope by using the slope formula.

m=(y2-y1)/(x2-x1), given two points (x1, y1) and (x2, y2). Keep in mind you can choose which point is (x1,y1) and which is (x2,y2) as long as you are consistent.

Plugging in for (-1,5) and (1,-1), you will get:

m=(-1-5)/(1-(-1))=-6/2=-3

Next, we need to find the y-intercept. For this problem, you can determine it is 2 by looking at the graph of the line. We now have both components to create the slope-intercept form.

m=-3, b=2

y=-3x+2

Answer:

I believe it's 0,hope that helps

Answer:

0

Step-by-step explanation:

the answer is zero because this problem uses the commutative property meaning the numbers can come in any order and equal the same thing

Answer:

195 ft.

Step-by-step explanation:

I don't have an actual explanation because I simply guessed based on the dimensions and what made the most sense and I got it right. If someone has an explanation as to why it is 195 ft please lmk. Other than that, 195 ft is the correct answer.

Chemical energy.

Step-by-step explanation:

in food can be converted to another form of chemical energy when it is stored as glucose or fat. It can be converted to thermal energy because our body produces heat when digesting our food.

Answer:

Step-by-step explanation:

Answer:

options c is correct xkskfisicssf8kr8dakf

Step-by-step explanation:

[tex]square \\ quadrilateral \\ rhombus[/tex]

Answer:

y=x^2 +10x+6 should be the answer

Step-by-step explanation:

Answer:

A. Beggining amount of money

Step-by-step explanation:

y=mx+b

T=75n+300

b=y-intercept

m=slope=rise/run

y-intercept is the starting amount.

where the x is 0 (0,y)

Hope this helps.

Answer: See explanation

Step-by-step explanation:

To solve this, we have to calculate the lowest common multiple of 2 and 5. This will be:

Multiples of 2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 ....

Multiples of 5 = 5, 10, 15, 20 ....

This means that he will swim and bike every 10th day together. This will be on the 10th, and 20th in October.

Answer:

On the 10th!

(I got it right on iready)

Answer:

8

Step-by-step explanation:

The absolute value of any number is the value of the number when it's positive.

So...

I-8I = 8

and  I8I = 8

Answer:

4

Step-by-step explanation:

we don't know each other but i love u and your amazing. keep being u and im so proud of u.

jeez i would like a mom-

Answer:

D

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

Answer:36.53

Step-by-step explanation: Subtract them the two numbers.

Answer:

36.53 is the correct answer

Answer:

hold on what is the problem?

Step-by-step explanation:

also  113

Answer:

463 i think you didnt make it to specific

Step-by-step explanation:

Answer:

$11.30

Explanation : 11.3= 1.10(8)+2.5

Answer:

b=88

Step-by-step explanation:

180-38-37-17=88

al triangles equals 180 degrees

Answer:

where is the statement........

Answer:

32

Step-by-step explanation:

As per what is given

- the product of 4 and a number decreased by 7 (4 times that number let us call it x, minus 7)

- equals 100, the equation formed equals 100

Form an equation;

4(x - 7) = 100

Solve using inverse operations;

4(x - 7) = 100

   /4        /4

x - 7 = 25

   +7     +7

x = 32

Answer:

A. The amount per text message.

B. 16x x y = 3.20

Step-by-step explanation:

A. the amount per text message doesn't change, only the amount of times you message does.

B. (below)

X- The amount of messages sent.

Y- The amount of months.

Answer:

[tex]\boxed{\sf m=-\cfrac{2}{3}}[/tex]

Step-by-step explanation:

In order to fins the slope we can either use the slope formula m = (y_2-y1)/(x2 – x1) or the standard line equation, y = mx + b to solve for the slope, m.

Using two points on the line, we can find the slope by finding the rise and the run

Slope formula :-

[tex]\boxed{\sf m=\cfrac{rise}{run} =\cfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\sf \left(x_1,\:y_1\right):\left(5,\:10\right)[/tex]

[tex]\sf \left(x_2,\:y_2\right):\left(2,\:12\right)[/tex]

[tex]\sf m=\cfrac{12-10}{2-5}[/tex]

[tex]\sf m=-\cfrac{2}{3}[/tex]