Analyze the logical statements to fill in the missing information.
1. If a line is horizontal, then it has a slope of 0.
Hypothesis:
Conclusion:
2. A vertical line has an undefined slope.
The statement in equivalent "if-then" form would be:
Hypothesis:
Conclusion:

Answer:

y = [tex]\frac{1}{3}[/tex] x + [tex]\frac{10}{3}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate the slope m of H using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (3, - 2) ← 2 points on the line

m = [tex]\frac{-2+3}{3-0}[/tex] = [tex]\frac{1}{3}[/tex]

Parallel lines have equal slopes, thus

y = [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

To find c substitute (- 4, 2) into the partial equation

2 = - [tex]\frac{4}{3}[/tex] + c ⇒ c = 2 + [tex]\frac{4}{3}[/tex] = [tex]\frac{10}{3}[/tex]

y = [tex]\frac{1}{3}[/tex] x + [tex]\frac{10}{3}[/tex] ← equation of parallel line

Answer:

Hey there!

The robot moves 63 cm in 9 seconds. Then in 1 second, it moves 7 cm.

If it goes 49 cm, it will take 7 seconds.

Let me know if this helps :)

Answer:

The correct answer is c = -8/3.

Step-by-step explanation:

The first step in solving this problem would be to simplify by combining like terms on the left side of the equation.

6c - 8 - 2c = -16 + c

4c - 8 = -16 + c

Then, we can subtract c from both sides of the equation to get rid of the positive c on the right side of the equation.

4c - c - 8 = -16 + c - c

3c - 8 = -16

Next, we can add 8 to both sides of the equation.

3c - 8 + 8 = -16 + 8

3c = - 8

Then, we can divide both sides of the equation by 3.

c = -8/3

Hope this helps!

Step-by-step explanation:

65% of 80= 80×0.65 = 52mins

5/8 of 80= 5/8×80 = 50 mins

Answer: its 19 . lol

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

10 + 9 =19

Answer:

Option 1

Step-by-step explanation:

Solve each piece individually first.

4 ^(1/2) = 2

The 4th root of 16 is 2 so 2/2 = 1

So we have:

2 * 1 - 10 ÷ 2

Order of operations.

2 * 1 = 2        10 ÷ 2 = 5

2 - 5 = -3

The answer is the first option.

Answer:

She needs

96 minutes

to reach her goal

Step-by-step explanation:

700 - 604 = 96

Answer:

96 minutes

Here is the way to do it-

Yin's goal = 700

Yin's progress- 604

700 - 604 = 96.

The answer is 96. Hope this helps!

Answer:

-2

Step-by-step explanation:

Answer:

160 and 161

Step-by-step explanation:

x is the first page and x + 1 is the second page

combine them and you get 2x + 1

2x +1 = 321

this simplifies to

2x = 320

divide by 2

320 = 160

give me brainliest

Answer:

I'm pretty sure the answer to the third question is C

Step-by-step explanation:

We are solving for h(g(x)).

We already know that g(x) is equal to x^2+4.

So know, we can simplify our expression, h(g(x)), to h(x^2+4).

We also know that h(x)=1/x

we simply substitute x for x^2+4, giving us an answer of 1/(x^2+4)

Any number out of 100 can be quickly converted to percent form by just tacking on the percent sign. This is because "percent" is "per one hundred". Think of 100 cents in a dollar which may help you remember.

So 76/100 = 76%

Answer:

point s

Step-by-step explanation:

they all connect there

Answer:

the answer is B. Point S

Step-by-step explanation:

hope this helped, please mark brainliest :,)

Answer:

The expression equivalent are..

3x+y+2x+2+7y

Step-by-step explanation:

here we want to add the variables of the same in this case

3x    1y    

2x     7y   2

__________

5x      8y      2

All the expressions that are equivalent to 5x + 8y + 2 are;

A). 5x + 8y + 2.

B). 5x +y + 4.

C). 5x + 8y + 2

D). 5x + 8y + 2.

Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).

Given:

Four equivalent expressions,

A). 3x + y + 2x + 2 + 7y

B). 8x + 4y – 3x + 4 – 3y

C). 2 +12y + x – 4y + 5x

D). 5y + 7 + x – 5 + 4x + 3y

Simplifying,

A). 5x + 8y + 2.

B). 5x +y + 4.

C). 5x + 8y + 2

D). 5x + 8y + 2.

Therefore, A, C, and D are the equivalent expressions.

To learn more about the equivalent expression;

https://brainly.com/question/28170201

#SPJ5

Answer:

This question was worded weirdly however I am assuming this is algebra and you need the equation. So here- -2(q-3) or -2q+6

Step-by-step explanation:

Distribute the -2, to all the terms in the parenthesis of -2(q-3) you get 2q+6

If you didnt know how to get -2(q-3), -2(multiplied) by q-3, you use parenthesis to make sure you know it is multiplication in front of the parenthesis.

Hope I could help!

Answer:

See attached image

Step-by-step explanation:

If the number of blueberries is the x value, and number of calories is the y value, then we can create the ordered pairs (5,4) (10,8) (15,12) based on the data in the table.

Plotting these on the graph is simple - just go to the x value then the y value and plot where these lines meet.

The slope of a line is always the rise over run.

Every time our x increases by 5, our y increases by 4. The rise is 4, and run is 5, so the slope is [tex]\frac{4}{5}[/tex]

Hope this helped!

Answer:

27.2 of a tank

Step-by-step explanation:

[tex]\frac{34}{5}[/tex] = [tex]\frac{x}{4}[/tex]

136 = 5x

x = 27.2

Answer:

23.3333333 miles per hour

23 1/3 miles per hour

10.43093333333333 meters / second

Step-by-step explanation:

Take the distance and divide by the time to find the speed

70 miles / 3 hours

1 mile = 1609.34 meters

1 hours = 3600 seconds

70 miles   /3 hours *  1 mile /1609.34 meters * 1 hours / 3600 seconds

10.43093333333333 meters / second

Step-by-step explanation:

speed is normally measured in unit time meaning either per hour,second,minute etc

therefore for this question you will have to find what it travels per hour

if 70 is in three hours what about one hour

therefore

70/3=23.3'

so the speed will be 23.3miles per hour

(the apostrophe is to show recurring you can also round of and ignore it)

Answer:

y=mx+b

Step-by-step explanation:

y=mx+b

If you know the slope m , and y -intercept (0,b) of a line (the point where the line crosses the y -axis), you can write the equation of the line in slope-intercept form .

Answer:

y=mx+b

Step-by-step explanation:

m and b can be any two real numbers.

y=mx+b

No real work, one of those linear equations that should be memorized.

Answer:

Step-by-step explanation:

Natural numbers are otherwise called counting numbers. Numbers you can count, and excludes Zero.

Whole number is a little extension of natural numbers in that, they contain Zero. So, they're counting numbers including Zero and excluding negative numbers.

Integers are whole numbers in general. They also include negative numbers.

Rational number is a number that can be written as ratio. It can be written as a fraction in which both the denominator and the numerator are whole numbers.

Irrational numbers are very opposite to rational numbers, and can not be written as fractions.

Real numbers are the culmination of both rational and irrational numbers

Answer:

4

Step-by-step explanation:

I hope this helps you

Answer:

When x is 12, [tex]5-(\frac{x}{3})=1[/tex]

Step-by-step explanation:

[tex]5-(\frac{x}{3} )[/tex]

Insert the given value of x:

[tex]5-(\frac{12}{3} )[/tex]

Simplify the expression. Divide 12 by 3:

[tex]5-4[/tex]

Simplify subtraction:

[tex]1[/tex]

:Done

Answer:1

Step-by-step explanation:

Answer:

The equation is 3/10 × s = 162

Alexandra's salary before taxes for the pay period was $540

Step-by-step explanation:

Let

Alexander's salary before taxes

=s

3/10 if Alexander's take home pay is $162 after taxes

3/10 of s = $162

The equation is

3/10 × s = 162

Divide both sides by 3/10

s = 162 ÷ 3/10

= 162 × 10/3

= 1620 / 3

= $540

Alexandra's salary before taxes for the pay period was $540

Answer:

76 2/3 (Rounded = 77)

Step-by-step explanation:

Step 1: Divide 230 by 3.

Step 2: Get your answer.

Answer - 76.66666666...

Hope this helps!

Answer:

First, we need to know how to calculate the area and the permiter of a rectangle.

To calculate the area, we multiply base by height and to calculate the perimeter, we sum all sides.

Knowing this, we can say that the area is 3x * (x+5) and the perimiter is 3x + 3x + x + 5 + x + 5, as we know both are the same, we write it as an equation:

[tex]3x * (x+5) = 3x + 3x + x + 5 + x + 5[/tex]

Now we solve the equation:

[tex]3x^2 +15x = 6x + 2x + 10[/tex]

[tex]3x^2+15x =8x + 10[/tex]

[tex]3x^2+15x-8x-10=0[/tex]

[tex]3x^2+7x-10=0\\\\x_1=\frac{-10}{3}\\x_2 = 1[/tex]

As the negative result doesn't have sense, we only pick the second one: 1.

If x = 1, then area would be 3*6 = 18 square inches and perimeter 3+3+6+6 = 18 inches

Answer:

[tex]\huge\boxed{x = 1 \ \ \ \ OR \ \ \ \ x = -\frac{10}{3} }[/tex]

Step-by-step explanation:

Length = 3x

Width = x + 5

Area of Rectangle:

=> (Length)(Width)

=> (3x)(x+5)

=> [tex]3x^2 + 15x[/tex]

Perimeter of Rectangle:

=> 2 (Length) + 2 (Width)

=> 2(3x) + 2(x+5)

=> 6x + 2x + 10

=> 8x + 10

Given Condition is:

Perimeter = Area

[tex]3x^2 + 15x[/tex] = 8x + 10

[tex]3x^2 + 15 x -8x - 10 = 0\\3x^2 + 7x -10 = 0\\3x^2 + 10 x - 3x -10 = 0\\x(3x+10) - 1(3x+10) = 0\\(x-1) (3x+10) = 0[/tex]

Either,

x - 1 = 0       OR     3x + 10 = 0

x = 1             OR       3x = -10

x = 1             OR        x = -10 / 3