Answer:
in decimal form it is 8.25
Segment FG begins at point F(-2, 4) and ends at point G(-2, -3). The segment is translated 3 units left and 2 units up, then reflected across the y-axis to form segment F'G'.How many units long is segment F'G'?
Answer:
[tex]F'G' = 7[/tex]
Step-by-step explanation:
Given
[tex]F = (-2,4)[/tex]
[tex]G = (-2,-3)[/tex]
Required
Distance of F'G'
The transformation that give rise to F'G' from FG are:
TranslationReflectionThe above transformations are referred to as rigid transformation, and as such the side lengths remain unchanged.
i.e.
[tex]F'G' = FG[/tex]
Calculating FG, we have:
[tex]FG = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
Where:
[tex]F = (-2,4)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]G = (-2,-3)[/tex] --- [tex](x_2,y_2)[/tex]
[tex]FG = \sqrt{(-2 - -2)^2 + (4 - -3)^2}[/tex]
[tex]FG = \sqrt{(0)^2 + (7)^2}[/tex]
[tex]FG = \sqrt{0 + 49}[/tex]
[tex]FG = \sqrt{49}[/tex]
Take positive square root
[tex]FG = 7[/tex]
Recall that:
[tex]F'G' = FG[/tex]
[tex]F'G' = 7[/tex]
Hiroto solved the equation 6 – 4|2x – 8| = –10 for one solution. His work is shown below.
6 – 4|2x – 8| = –10
–4|2x – 8| = –16
|2x – 8| = 4
2x – 8 = 4
2x = 12
x = 6
What is the other solution?
–6
–4
2
10
Answer: x=2 (C)
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
GOT IT RIGHT ON TEST!!!!!
Please help quickly!
Answer:
-8
Step-by-step explanation:
y=(2^2)-12
y=4-12
y= -8
7a = 28 Is a=21 a solution?
yes or no
Answer:
No
Step-by-step explanation:
No because if a = 21, then 7 * 21 = 147 and 147 is not 28.
solve the equation b -2 = -2 - 2b
Answer:
No solution
Step-by-step explanation:
b-2+2=+2-2-2b
b=-2b
Help me and I’ll thank you
Answer:
-9
Step-by-step explanation:
The question is just asking you to find for what y-value is x -3
What is the measurement of Angle x?
Answer:
A. 95 degrees
Step-by-step explanation:
Both angles should add up to 180
85+_95_=180
PLEASE HELP I WILL MARK BRAIN AND THIS IS WORTH 26 POINTS!!!
Answer:
1) Already finished
2)0.28,7/25
3)0.78,39/50
4)0.96,24/25
5)0.5,1/2
6)0.3,30%
7)0.4,40%
8)0.25,25%
9)0.55,55%
10)0.2,20%
11)7/20,35%
12)3/4,75%
13)4/5,80%
14)1/25,4%
15)13/20,65%
Step-by-step explanation:
Let f(x)=-3x+7 and g(x)=2x^2-8
Find f(x)+g(x)
Choose the best answer
A)-2x^2 - 3x +15
B) -x^2 - 1
C) 5x^2 +15
D) 2x^2 - 3x - 1
Answer:
D
Step-by-step explanation:
Which is a unit rate? *
Mark only one oval.
5 pounds in 2 bags
22 gallons in 5 days
$5 for 5 boxes of cookies
15 miles per gallon
I am a 2-digit number. If sum of my two digits is added to the product of my digits, it is me again. Can you find me?
Answer:
Step-by-step explanation:
Let “ab” represent the digits of the number.
a ≠ 0
Value of the number = 10a+b
a+b + ab = 10a + b
a + ab = 10a
ab = 9a
b = 9
“ab” = 19, 29, 39, 49, 59, 69, 79, 89, 99
Answer: 49
Step-by-step explanation:
4x9=36
4+9=13
36+13=49
PLEASE HELP. I will mark branliest
Answer:
28
Step-by-step explanation:
A marble is selected at random from a jar containing 30 red marbles, 10 yellow marbles, and 60 green marbles. Find the theoretical probability that it is either red or green.
there is a 90% chance its a red or green or a 90/100 chance
Step-by-step explanation:
first you need to count your whole which would be the sum of adding all the marbles which is 100 then add the red and green that's 90 lastly you make a fraction 90/100 (simple the fraction if asked )
A bag contains 8 red pens, 7 blue pens, and 14 black pens. Denato wants to pull a blue pen from the bag. What is the sample space for this experiment?
Answer:
The sample space is 29........
The town provides free lemonade for people at the parade. Marty determines how much lemonade to order. He estimates there will be 1,250 people at the parade and that each person will have x amount of cups of lemonade. He uses his estimate and also orders an additional 150 cups of lemonade. He determines that he needs an amount of lemonade equal to 1,087.5 cups. Write an equation that can be used to determine the value of x. PLEASE HELP ME. I'VE ASKED A LEAF BLOWER.
Answer:
x = 1,087.5 /1250
Step-by-step explanation:
If there are 1250 at the parade and each person needs x amount of cups
total amount of cups needed = 1250x
total cups needed = 1,087.5
therefore - 1250x = 1087.5
x = 1087.5 / 1250
Somebody please help. this is quadratics
Solve each equation by taking square roots.
[tex]1.)6x^2=-90\\2.)b^2-4=-2\\3.)16x^2-7=-6\\4.)10p^2+9=239[/tex]
Answer:
1)
[tex]6x^2=-90\\x^2=-15\\\sqrt{x^2} =\sqrt{-15} \\x=i\sqrt{15} ,-i\sqrt{15}[/tex]
2)
[tex]b^2-4=-2\\b^2=2\\\sqrt{b^2} =\sqrt{2} \\b=\sqrt{2} ,-\sqrt{2}[/tex]
3)
[tex]16x^2-7=-6\\16x^2=1\\x^2=\frac{1}{16} \\\sqrt{x^2} =\sqrt{\frac{1}{16}} \\x=\frac{1}{4} ,-\frac{1}{4}[/tex]
4)
[tex]10p^2+9=239\\10p^2=230\\p^2=23\\\sqrt{p^2} =\sqrt{23} \\p=\sqrt{23},-\sqrt{23}[/tex]
if the line M is perpendicular to the line end, and the slope of line M is -3 / 2, what is the slope of line and? Write the slope in simplest form
(easy question, easy points)
Answer:
2/3
Step-by-step explanation:
All you do is find the reciprocal,
you take the equation, flip, then change the sign of the numerator. so,
In this it's already done, the sign on top is already changed and so is the equation fliped so we do the opposite,
which would give you 2/3 because the perpendicular line of 2/3 is -3/2 which makes them perpendicular to each other and there is your answer.
Please provide an explanation to your answer. Giving brainliest to whoever has the right answer
Answer:
$2.40
Step-by-step explanation:
Soooo if 5 stuffed animals = $12, then you would divide 12 by 5 and your answer would be 2.4
Five and one fourth - One Eighth
(Math suck :( )
Answer:
Exact form: 41/8
Decimal form: 5.125
Mixed number form: 5 1/8
Explain:
First, you subtract the whole numbers
5-0: 5
Then you combine the fractions
1/4 - 1/8 = 1/8
Then add the whole number back
5 + 1/8 = 5 1/8
Malik has 3 boxes of baseball cards. Each box has 2 containers with 8 cards in each container.
Malik multiplies 8 x 2 and gets 16.
He then multiplies 3 x 2 and gets 6.
Then he multiplies 16 x 6 and comes to his final answer of 96.
Do you agree with Malik? Why or why not?
Answer:
no
Step-by-step explanation:
I think he did the first step correct, 8×2=16.
He did that because in each box there are 2 containers with 8 cards. so all together there are 16 cards in each box.
But then he should've multiplied 16×3=48 because there are three containers with the 16 cards.
Which of the following represents a translation if the figure?
A.
B.
C.
D.
Answer:
b
Step-by-step explanation:
a translation is when it looks exactly the same but is on the other side of the line
A spinner is divided into 12 equal sections numbered 1-12. What is the probability of landing on a section with a number that is less than 5?
Answer:
4/12
Step-by-step explanation:
There is a 1 in 12 chance of any number being spun on the wheel. Because there are 4 numbers less than 5, there is a 4 in 12 chance of one of those numbers being spun.
Please help need it today due at 8
Answer:
slope=3
y intercept=4
Step-by-step explanation:
i did this using the equation y=mx+b m being slope and b being y intercept
find the diameter of the graphed circle.
The regular price of a pair of Rothy's (water bottle shoes) is $145. They are on sale for 38% off. What is the sale price?
Answer:
$89.90
Step-by-step explanation:
38% corresponds to the decimal fraction 0.38.
The amount of the discount is 0.38($145), or $55.10. Subtracting this amount from the regular price yields $145 - $55.10 = $89.90.
A faster way of doing this problem is to subtract 0.38 from 1.00, obtaining 0.62, and then multiplying $145 by this 0.62: $89.90.
Plzz Help me!!!!!!!
A cylindrical barrel holds 10,164 cubic inches of oil (44 gallons). If the cylindrical barrel is 23 inches in diameter, what is the approximate height of the barrel?
a. 21 inches
b. 24 inches
c. 60 inches
d.141 inches
Answer:
I believe it’s A.21
Step-by-step explanation:
HOPE THIS HELPS YOU
The approximate height of the barrel is 22.9 inches. They are also important in mathematics and engineering, as they are used to model and solve problems in various fields, such as calculus, geometry, physics, and fluid mechanics.
What is Cylinder?A cylinder is a three-dimensional geometric shape that consists of two parallel, congruent circular bases connected by a curved surface. The curved surface is composed of a set of parallel lines that connect the two circular bases.
here, we have,
The cylinder can be described by several measurements, including its height (the distance between the two circular bases), its radius (the distance from the center of one circular base to its edge), and its diameter (the distance across the cylinder at its widest point, passing through the center of the circular bases).
We can use the formula for the volume of a cylinder to find the height of the barrel:
V = πr²h
We are given that the volume of the oil is 10,164 cubic inches and the diameter (which is twice the radius) is 23 inches.
r = 23/2 = 11.5 inches
10,164 = π(11.5)²h
Solving for h, we get:
h = 10,164 / (π(11.5)²) ≈ 22.9 inches
So the approximate height of the barrel is 22.9 inches.
Learn more about Cylinder from given link
brainly.com/question/27440983
#SPJ2
Look at the figures. How can you prove the triangles are congruent?
A circular rug has a diameter of 12 feet. Part A What is the circumference, In feet, of the rug rounded to the nearest hundredth? Use 3.14 for it.
Answer:
C =37.68 ft
Step-by-step explanation:
Circumference is given by
C = pi * d where d is the diameter
C = 3.14 * 12
C =37.68 ft
In the cafeteria, a principal asked students what fraction of their plates contained vegetables. The line plot displays the students' responses. How many more plates of vegetables did the students who responded of a plate have than the students who responded of a plate? (look at picture)
Answer:
It should be A 3 1/4
Step-by-step explanation:
Joel is mailing a large envelope to his cousin. The envelope has pictures inside, so he doesn't want to bend it. What is the maximum width for the mail slot???
Answer:
the maximum width of the mail slot is 25 cm.
u. can find it through phythagoras theorem
Answer:
25
Step-by-step explanation:
Use the pythagorean theorem. Here's how: Since a^2+b^2=c^2, 7^2+24^2=576+49= the square root of 625 which is 25.
