Write an equation in point-slope form and slope-intercept form for each line.
1. passes through (4, 7), slope = 2
2. passes through (–2, –1), slope = 4
3. passes through (8, –4), slope = 1/2

Answer:

LH is perpendicular to HI

or

HI is perpendicular to LH.

You know they are perpendicular because there is a square symbol on angle H.

LH is perpendicular to HI

Here LHK is a triangle.

At H, angle is right angle. So the LH is perpendicular to the line HI.

Hence, LH is perpendicular to HI

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Answer:

Now, check another value for the variable.

When w = 2, the first expression is  

✔ 11

.

When w = 2, the second expression is  

✔ 11

.

Therefore, the expressions are  

✔ equivalent

.

Step-by-step explanation:

Answer:

1. 11

2. 11

3. Equivalent

Step-by-step explanation:

Answer:

52.329km/hours

Step-by-step explanation:

x = speed

100/x - 100/(x+5) = 1/6

==> x= (5sqrt(481)-5)/2 = 52.329km/hours

Answer:

(i) 1/2

(ii) 3/20

Step-by-step explanation:

(i) given total number of white counters = 10

total outcomes = 20 (3+10+5+2)

so it's 10/20

by simplifying it we get 1/2

(ii) given total number of red counters = 3

so it's 3/20

Answer:50$ and 2

Step-by-step explanation:

Answer:

The down arrow indicates the stock price has decreased from yesterday’s price of $

66.20

at the

close

of the market day.

your welcome <3

x=-3

x=-11

because

x(x+14)=-33

so if x = -11 it will be 3*-11

and if x= -3 it will be -3*11

Answer:

x = -3, -11

Step-by-step explanation:

First, factor

Get all the terms on one side by adding 33 to both sides:

[tex]x^2 + 14x + 33 = 0[/tex]

now, you want to find two numbers that add up to 14 and multiply to 33.

those numbers would be 3 and 11.

so you can then make it:

[tex](x + 3)(x+11)=0[/tex]

you know that either x + 3 or x + 11 = 0,

so you can say:

x + 3 = 0

x = -3

ork

x + 11 = 0

x = -11

so x = -3, -11.

For further info you can go to: bit. ly / khanacademyquadratics

Answer:

66°

Step-by-step explanation:

x+114°=180°

x+114°-114°=180°-114°

x=66°

Answer: C. Distribute 3/4 over (x-8)

Step-by-step explanation:

To solve any(technically most, but still...) algebraic equation you must isolate the variable.  In this case, the first step would either be to divide both sides of the equation by 3/4, or distribute 3/4 to x and -8, as you cannot modify the contents of the parenthesis without removing the 3/4.

Hope it helps and lmk if you further explanation <3 :)

Answer:

c

Step-by-step explanation:

on edge

Answer:

89

Step-by-step explanation:

534 ÷ 6

53 / 6 = 8 remainder 5

Equation becomes 54 ÷ 6

54 / 6 = 9 remainder 0

Hence,

534 ÷ 6 = 89

Answer:

16÷2

Step-by-step explanation:

It would be 16 divided by 2. This is because in the diagram they are splitting 16 by 2. Splitting 16 by 2 gets you two 8's.

Answer:

625 meters

Step-by-step explanation:

25 multiplied by 50 equals 1250 divided by 2 is 625 meters.

Answer:

Then it would be the other way around 19 ≥ k + 6

Wait for more responses if needed.

The given Inequality is correct when 19 ≥ k + 6.

Inequality compares "two values, showing if one is less than, greater than, or simply not equal to another one".

Given k + 6 ≥ 19 if k = 11

11 + 6 ≥ 19  substitute k = 11

17 ≥ 19 here Inequality is False.

Hence, 19 ≥ k + 6.

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Answer:

3 x -3y = -9y

3 x -1 = -3

The factored expression is 3(-3y - 1)

Step-by-step explanation:

All you have to do is -9y / 3 = -3y and -3 / 3 = -1, then put those numbers in parentheses. All of that is multiplied by 3.

The reason is because if you distributed the 3 it would become:

3 * -3y + 3 * -1 = -9y - 3

Answer:

a = 2

Step-by-step explanation:

a = pt + q

p = -1

t = 4

q = 6

a = -1(4)+6

a = -4+6

a = 2

Answer:

5/8 x 2 1/2 is more than 1 1/4

Step-by-step explanation:

It is correct

Answer:

C and part b is C

Step-by-step explanation:

i did the test

Answer:

Its the type of polynomial that doesn't matter because no one in the real world is gonna give a flying f#%* about it.

Step-by-step explanation:

The expression y-3x+4 is a polynomial consisting 3 terms as  y, 3x and 4.

Terms are added or subtracted to make a polynomial. They are composed of variables and constants all in multiplication.

Example:

x^3 + 3x +5 is a polynomial consisting 3 terms as   x^3, 3x and 5

If there is one term, the polynomial will be called monomial.

If there are two terms, the polynomial will be called binomial.

If there are three terms, the polynomial will be called trinomial.

The given; y-3x+4

This is polynomial consisting 3 terms as  y, 3x and 4.

Hence, The expression y-3x+4 is a polynomial consisting 3 terms as  y, 3x and 4.

Learn more about binomials here:

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Answer:

0.25 pounds

Step-by-step explanation: there are 16 ounces in a pound

Answer:

.25 lbs

Step-by-step explanation:

1 pound is 16 ounces

4 ounces * 1 lbs/16 ounces

4/16 lbs

.25 lbs

Answer:

11/60

Step-by-step explanation:

BC/AC = 11/60

Answer:

[tex](\frac{1}{3}x - 3,-\frac{1}{3}y+2)[/tex]

Both triangles will be similar

Step-by-step explanation:

See comment for complete question.

Given

Let the coordinates of the triangle be T(x,y)

First transformation: Dilation by 1/3

The new points will be:

[tex]T' = \frac{1}{3}(x,y)[/tex]

[tex]T' = (\frac{1}{3}x,\frac{1}{3}y)[/tex]

Second: Reflection over the x-axis

When a point (x,y) is reflected over the x-axis, the new point is (x,-y).

So, we have:

[tex]T'' = (\frac{1}{3}x,-\frac{1}{3}y)[/tex]

Third: Translation 3 units left and 2 units up.

When a point (x,y) is translated b units left and h units up, the new point is (x - b,y+h).

In this case:

[tex]b = 3[/tex] and [tex]h = 2[/tex]

So, we have:

[tex]T''' = (\frac{1}{3}x - 3,-\frac{1}{3}y+2)[/tex]

Hence, the coordinate of the new triangle will be: [tex](\frac{1}{3}x - 3,-\frac{1}{3}y+2)[/tex]

Additionally, both triangles will be similar because all the transformation done are rigid transformations i.e. Dilation, Reflection and Translation

Answer:

7 and 4

Step-by-step explanation:

because 7 and 4 numbers cannot divided by any numbers both so 7 and 4 should be written there

Answer:

#5- 7.8 hours  #6- $5.25

Step-by-step explanation

Question #5- 7.8 hours      

First we have to find the speed. If the speed was constant we should be able to divide the miles by the time to find the speed. So 239.82 divided by 4.2. This would leave us with a speed of 57.1 mph. So to finish the question, we have to take  what we know and divided it by the speed. If he drives 445.38 miles at the same speed of 57.1 mph it would take him 7.8 hours. I got this answer by dividing the miles by the speed. 445.38 divided by 57.1. Which got us our time, 7.8 hours.

Question #6- $5.25

Okay so we know that the chips cost .75 cents a bag, and he got two bags. So if we take .75 and multiply it by two we get 1.50. So the chips alone cost $1.50. We can take the price of the chips and subtract it from the total price. 22.50-1.50. 21. Now we have just the prices of the sandwiches. If we take the total price of the sandwiches and divide it by the number of sandwiches bought, we get $5.25. So each sandwich cost $5.25 each.

Answer:

$11747

Step-by-step explanation:

[tex]m=7400x^{t} \\2*7400=7400x^{6}\\x=1.122\\t=4\\m=7400*1.122^{4} =11747[/tex]

Given :

A bakery sells mocha cupcakes and vanilla cupcakes.

It sold 391 mocha cupcakes in a day.

15% of the cupcakes sold that day were vanilla.

To Find :

How many total cupcakes did the bakery sell that day.

Solution :

Let, total number of cupcakes bakery sell that day is x.

So, x - 0.15x = 391

0.85x = 391

x = 460

Therefore, total number of cupcakes bakery sell that day is 460 .

Answer:

x^3y^3z^3

Step-by-step explanation:

when dividing exponents of the same base you subtract

Answer:

The answer is 60

Step-by-step explanation:

the answer is 60 because every van is 12 times that number so what is 5 time 12 its 60 so that's your answer

Answer:

Its 60

Step-by-step explanation:

Its because the pattern is to multiply By 12 every time and its 5 so its 12 times 5 which is 60 hope it helps EDGE 2021

Answer:

1/8 Kg de miel.

Step-by-step explanation:

Answer:

i dont speak spanish but yuhh get it ig

Step-by-step explanation:

Answer:

first part: A. x^2+9x=36 and C. (x+9)(x)=36

second part: Width = 3 inches, Length = 12 inches

Step-by-step explanation:

"more than" implies addition, so you know you'll have 9+x in the equation you also know that you have to have the equation =36

also note (9+x is the length)

the equation for area of a rectangle is A=LW

so lets plug in what we do know

A = L W

36=(9+x)W

For the first part of the equation you're answer will be:

(x+9)(x)=36 AND x^2+9x (the reason for the second answer i listed is because when you multiple (x+9)(x) you get x^2+9x

when you solve for x it equals 3,

so the width (x) = 3 inches

and the Length (9+3) =12 inches

ummmmmmmm. Answer:

Step-by-step explanation: