Answers
Answer:
see explanation
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 )
y = [tex]\frac{2}{3}[/tex] x - 6 ← is in slope- intercept form
with slope m = [tex]\frac{2}{3}[/tex]
Parallel lines have equal slopes , then
y = [tex]\frac{2}{3}[/tex] x + c ← is the partial equation
To find c substitute (9, 2) into the partial equation
2 = 6 + c ⇒ c = 2 - 6 = - 4
y = [tex]\frac{2}{3}[/tex] x - 4 ← equation of parallel line
-------------------------------------------------------------------
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{2}{3} }[/tex] = - [tex]\frac{3}{2}[/tex] , then
y = - [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
To find c substitute (9, 2) into the partial equation
2 = - [tex]\frac{27}{2}[/tex] + c ⇒ c = 2 + [tex]\frac{27}{2}[/tex] = [tex]\frac{31}{2}[/tex]
y = - [tex]\frac{3}{2}[/tex] x + [tex]\frac{31}{2}[/tex] ← equation of perpendicular line
Related Questions
30 points
Syed took out a cash advance of d dollars from a financing company. The company deducts a fee of 1/3 of the orig
advanced amount along with a wire transfer fee of $30.00. What is the final advanced amount that Syed receives if she takes out a
cash advance of $300?
(Numerical Answer Only)
Answers
If 3x−y=12, what is the value of
8x
2y
Answers
Answer:
[tex]8x=32\\2y=-24[/tex]
Step-by-step explanation:
When solving for 1 variable, set the other to 0 and solve.
[tex]3x-y(0)=12\\3x=12\\x=4\\4*8=32\\8x=32\\\\3(0)-y=12\\-y=12\\y=-12\\-12*2=-24\\2y=-24[/tex]
The shadows of two vertical poles were measured at the same time to be 6m and 15m long. If the first pole is 8cm long, find the height of the second pole
Answers
Answer:
20 cm
Step-by-step explanation:
Shadow of vertical poles : 6m ; 15m
Length of poles : 8cm ; h
8cm long pole = shadow length, 6m
h cm long pole = shadow length, 15 m
Using cross multiplication :
8cm * 15 m = h cm * 6m
120 = 6h
h = 120 / 6
h = 20 cm
Height of second pole = 20cm
A cookie jar starts off with 32 cookies in it, and
each day 2 cookies are eaten. After a certain
number of days, there are 14 cookies left in the jar.
Which of the following equations represents the
day, d, when there are 14 cookies in the jar?
Answers
Answer:
9 days
Step-by-step explanation:
32-2-2-2-2-2-2-2-2-2 = 14
The equation that represents the day, d, when there are 14 cookies in the jar will be 14 = 32 - 2d, and that day will be on the 9th day.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
As per the given,
Initial cookie = 32
Since each day 2 cookies are eaten so after "d" days the total eaten cookies will be 2d.
Remaining cookies = initial cookies - eaten cookies
Remaining cookies = 32 - 2d
The day when 14 cookies remain will be,
14 = 32 - 2d
2d = 32 - 14
d = 9
Hence "The equation that represents the day, d, when there are 14 cookies in the jar will be 14 = 32 - 2d, and that day will be on the 9th day".
For more about the equation,
brainly.com/question/10413253
#SPJ2
Suppose an ordered pair is not a solution of y > x + 10. Must it be a solution to y < x + 10? Explain. 50 points!!!!
Answers
Answer:
I think when u substitute the order pair for x and y Into the equation the y is gonna be les than the x + 10
Step-by-step explanation:
K so am confused abt ur question but here
example (2,5)
y < x + 10
substitute 2 for x and 5 for y
5 < 2 + 10
5 < 12
y is less than x + 10
If the sum of the interior angles of a polygon is 29160, how many sides does it have?
Answers
Answer:
fhuguyguy
Step-by-step explanation:
A blueprint for a new triangular playground shows that the sides
measure 480 ft, 140 ft, and 500 ft. Is the playground in the shape of
a right triangle? Explain.
Answers
Answer:
no
Step-by-step explanation:
because it is not equal numbers
(3x +7x² + 2x + 3) + (x + 1)
Answers
Answer:
=7x2+6x+4
Step-by-step explanation:
3x+7x2+2x+3+x+1
Combine Like Terms:
=3x+7x2+2x+3+x+1
=(7x2)+(3x+2x+x)+(3+1)
=7x2+6x+4
Answer:
=7x2+6x+4
Is -3x+5=-3x+8 infinate many solutions
Answers
Know knows, calculate it
If a model of a dinosaur is 3.75 feet and the scale factor for the actual dinosaur is 1:24. What is the size, in feet, of the actual dinosaur?
Answers
Answer: 120
Step-by-step explanation:
Next, write ratios to represent the unknown actual length and width of the display to the scale length and width of the display.
LengthWidth=scaleactual=4l=scaleactual=8w
Then, write two proportions by setting the two length ratios equal to one another and the two width ratios equal to one another. The given unit is feet.
LengthWidth=4l=1160=8w=1160
Next, cross multiply each equation.
LLWW=4×160=640 feet=8×160=120 feet
Then, to find the area of the display, multiply length times width.
The actual size of the dinosaur is 90 feet.
What is a scale factor?The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).
Given:
A model of a dinosaur is 3.75 feet,
and the scale-factor for the actual dinosaur is 1:24.
So,
the size of the actual dinosaur = model size x the scale-factor
The size of the actual dinosaur = 24 x 3.75
The size of the actual dinosaur = 90 feet.
Therefore, the actual size is 90 feet.
To learn more about the scale factor;
https://brainly.com/question/29464385
#SPJ6
Gabriella made 5 waffles for breakfast. She has 25 strawberries and 15 blueberries to put on top of the waffles. She will put a equal number of berries on each waffle.How many berries will gabrielle put on each waffle?
Answers
What's the negative reciprocal of –7
Answers
Answer:
0.14285714285
Step-by-step explanation:
This is what I got from the calculator.
Answer:
1/7 (1 over 7)
Step-by-step explanation:
The negative reciprocal of –7 is 1/7 (1 over 7)
Simplify: 5 + p > 3
GIVING BRAINLIST!!! PLEASE HELP!
Answers
Answer:
p>3-5
p>-2
Step-by-step explanation:
step 1= 5 will pass the greaterthan sign and it will be -ve
step 2= it will be (p>3-5) 3-5= -2
answer = p> -2
Answer:
The answer is p > -2
Step-by-step explanation:
Move all terms not containing p to the right side of the inequality.
~Hoped this helped~
VA
Explain how you would find the coordinates of the image
of (5, 2) if it was reflected over the x-axis and then that
image was reflected over the y-axis. What would be the
end result?
Answers
Answer:
srry that the two people here befre me didnt help you
Sample Response: To find the image after a reflection over the x-axis, I would negate the y-coordinate. To find the image after a reflection over the y-axis, I would negate the x-coordinate. So, reflecting the point (5, 2) over the x- and y-axis, I would get (–5, –2).
if u dont want to write the paragraph make sure t have this in your sentence
Negate the y-coordinate.
Negate the x-coordinate.
Get the point (–5, –2).
The sum of five consecutive integers is 0. Find the integers. Show your solution.
Does anyone know the answer?
Answers
Answer:
-2, -1, 0, 1, 2.
Solution
Let x be the middle term of this sequence of 5 terms.
Then the sequence is x-2, x-1, x, x+1, x+2.
The sum of the terms is (x-2) + (x-1) + x + (x+1) + (x+2) = 5x.
Thus 5x = 0.
It gives x = 0.
So the sequence is -2, -1, 0, 1, 2.
yo 20 points! pls help me out
Answers
Answer:
the top one would be -40x+24, bottom one is x=12
Step-by-step explanation:
uwu
Answer:
a. -40x + 24
b. x = 4
Step-by-step explanation:
-8 * 5x = 40x, -8 * -3 = 24
-5 * -x = 5x
-5 * 4 = -20
40 - 20 = 20
20/5 = 4
can someone please help me with thiss!?
Answers
I would first find the volume of the hole and multiply that by 2 because there's 2 holes.
[tex]v = lwh[/tex]
[tex]v = (5)(8)(5)[/tex]
[tex]v = 200[/tex]
[tex]200 \times 2 = 400[/tex]
//
I would then find the volume of the entire cinder block.
[tex]v = lwh[/tex]
[tex]v = (16)(8)(8)[/tex]
[tex]v = 1024[/tex]
//
I would then substract.
[tex]1024 - 400 = 624[/tex]
The volume of the cinder blocks is 624 inches³
In Geometry, which kind of reasoning is used in proving theorems? Inductive or Deductive Reasoning? Why?
Answers
Answer:
Inductive
Step-by-step explanation:
Because our conclusion is based on facts, the conclusions reached by deductive reasoning are correct and valid.
Johnny works after school and earns $8 per hour. He needs at least $2000 to purchase a car so he does not need to take the bus. How many hours does he need to work to reach his goal?
Answers
2hours
Step-by-step explanation:
2 hours
Your teacher asked your class to describe a real world situation in which a y-intercept is 100 and the slope is 5. Your partner gave the following description: My younger brother originally had 100 small building blocks, but he has lost 5 of them every month since. What mistake did your partner make?
Answers
Answer:
He should have said that his small brother had 100 small building bricks, but lost 5 in total now.
Sam owns a chain of fast food restaurants that operated 200 stores in 1999. If the rate of increase is 8% annually, how many stores does the restaurant operate in 2007?
Answers
Answer:
370 stores
Step-by-step explanation:
Given data
initial number of stores P= 200
r= 8%
t= 1999-2007= 8 years
Let us apply the compound interest expression to find the final amount of stores
A= P(1+r)^t
A= 200(1+0.08)^8
A= 200(1.08)^8
A= 200*1.85
A=370
Hence the number of stores in 2007 is 370 stores
how many solutions 9x +2y =9 -3x + y=2
Answers
Answer:
4
Step-by-step explanatio
Answer: 4
Step-by-step explanation:
jiubpuunuibu
A farmer sells 8.8 kilograms of apples and pears at the farmer's market. 1 4 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?
Answers
Answer: She sold 6.6kg of pears in the market.
Step-by-step explanation:
Weight of apples and pears at the farmer's market.=8.8 kilograms
Weight of apples = 1/4
which is = 1/4 x 8.8kg = 2.2 kg
Weight of Pears =Weight of apples and pears - Weight of apples
= 8.8kg- 2.2kg
= 6.6kg
a. How are pieces 1 and 2 related? pieces 3 and explain how
the pieces are related
Answers
Answer:
sorry i don't really get this cause the way you explained it maybe in the comment section say it again and i might get it when you say it again.
Omg pls help in my math. It is 6th grade
Answers
Answer:
1. You have to shade 38/100 squares
2. You have to shade 65/100 squares
3. 3/5=15/25, 6/10, 9/15
If A = 56° then find C.
Answers
Answer:
124
Step-by-step explanation:
If you are talking about angles, then the answer is 124 degrees. Question is a little open, though.
I hope this helps!
What is the meaning of a sample in mathematics?
Answers
Answer:
A sample is an outcome of a random experiment. When we sample a random variable, we obtain one specific value out of the set of its possible values. That particular value is called a sample.
Step-by-step explanation:
There are 20 animals in the barn. There are chickens and sheep in the barn. If there are
a total of 62 legs, how many of each animal are there? *
Answers
Answer: Nope I was wrong
Solve for x please help!!
Answers
14x-15=41
14x=56
x=4
Answer:
x = 4
Step-by-step explanation:
(14x - 15)° + 139° = 180°
14x - 15 + 139 = 180
14x + 124 = 180
14x = 56
x = 4
 this is the one i need help with please !! honors algebra 2 , 10th grade
Answers
Answer:
g(g(x)=25x
Step-by-step explanation:
g(g(x) is a composition function. Think of g(x) as input. That means whatever g(x) equal that will be inside of the function g(x)
g(x) equal 5x so 5x will be the equal value going into the function g(x)
[tex]g(x) = 5x[/tex]
[tex]g(x) = 5(5x)[/tex]
Which equal 25x
