Answers
Answer:
BC = 8
Step-by-step explanation:
AB + BC = AC
4x + 8 + 3x - 4 = 32
7x + 4 = 32
7x = 32 - 4
7x = 28
x = 28/7
x = 4
BC = 3x - 4 = 3*4 - 4 = 12 - 4 = 8
Answer:
B) 8
Step-by-step explanation:
The Segment Addition Postulate basically states that the sum of the segments of a line will equal the length of the entire line.
Thus, AB+BC=AC, and we can substitute:
AB+BC=AC
(4x+8)+(3x-4)=32
4x+8+3x-4=32
7x+4=32
7x=28
x=4
Now that we have x, we can plug it in for segment BC:
BC=3x-4
3(4)-4
12-4
8
Therefore, choice B is correct
Related Questions
Ryan also earns money by selling colored watch bands with the watches he sells. The linear expression 100x – 50 models Ryan's additional income. What is the expression that models the new average profit, including the bands? Note: To obtain the new average profit expression, add the linear expression to the original rational expression. Write the new profit expression as one fraction.
Answers
Answer:
Average (additional) income = 100 - 50/x
Step-by-step explanation:
Ryan's additional income = 100x - 50 , where x = quantity of colored watch bands
Ryan's additional average income = Income / Quantity of watches sold
(100x - 50) / x
= 100 - 50/x
Equation of the Line
Lesson
I
After going through this lesson, you are expected to find the equation of a
line given (a) two points, (b) the slope and a point and (c) the slope and its
intercepts
From the given linear equation, we can determine 2 points that will satis-
fy the equation. Also we can determine the slope and the y- intercept so as the
x and y intercepts.
Example: Given - 2x + y = 6
Find: a. two points that will satisfy the equation
(b) slope and y-intercept
(c) x and y intercept
Solution:
(a) -2x + y = 6
If x = -1
If y = 2
-21-1) + y = 6
- 2x + 2 = 6
2 + y = 6- y = 4
-2x = 4-x= -2
The point is (-1,4)
The point is (-2, 2)
(b) Change the equation to slope intercept form : y = 2x + 6
Therefore the slope m = 2 and the y-intercept b = 6
(c) Find the and y intercept of -2x + y = 6
Let x = 0, -2(0) + y = 6; y = 6. the intercept is (0,6)
Let y = 0, -2x + 0 = 6; -2x = 6, X = -3, the y intercept is (-3,0)
Learning Task 1 : From the given equation of the line a) find two points that will
satisfy the equation, b) the slope and the y intercepts and c) the x and y-
intercepts.
2.
3y - X9
1. 3x + 2y = 5
Answers
9514 1404 393
Answer:
a) (0, 5/2), (5/3, 0)
b) m = -3/2; b = 5/2
c) (5/3, 0), (0, 5/2)
Step-by-step explanation:
Given:
3x +2y = 5
Find:
a) two points that satisfy the equation
b) slope and y-intercept
c) x-intercept
Solution:
Since the intercepts are points on the line, finding them satisfies all parts of the question except finding the slope.
a) Let x=0. Then we can find y from ...
3·0 +2y = 5
y = 5/2
One point is (0, 5/2).
Let y=0. Then we can find x from ...
3x +2·0 = 5
x = 5/3
Another point is (5/3, 0).
Two points on the line are (0, 5/2) and (5/3, 0).
__
b) The slope can be found using the slope formula on the two points we found.
m = (y2 -y1)/(x2 -x1)
m = (0 -5/2)/(5/3 -0) = -(5/2)/(5/3) = -3/2
The slope is -3/2. The y-intercept is 5/2.
__
c) The x- and y-intercepts are (5/3, 0) and (0, 5/2), respectively.
Which equation represents the graphed function?
10,3)
(32)
2
5
-3 -2 -1
1
3
4 5
-2
DR
Or
A
y = -3x + 3
B
y=-{x+3
С
y = 3x -
D
y = 3x - 3
Answers
Answer:
the equation is y=-1/3x+3
6th grade math i mark as brainliest
Answers
250-25m
What is the slope of the line between (-3, 6) and (11,-5)?
Answers
Answer:
m=-11/14
Step-by-step explanation:
3 values greater than |-3.5|
Answers
Answer:
6.5
Step-by-step explanation:
3.5 + 3
Answer:
6.5
Step-by-step explanation:
I-3.5I = 3.5
3.5 + 3 = 6.5
Check Work:
6.5 - 3.5 = 3
or
I-3 - 3.5I = I-6.5I = 6.5
Enter the equation of the line in slope-intercept form.
The line parallel to y =
7
4
x + 4 that passes through (−8, 0).
The equation of the line that passes through (−8, 0) is y = .
Answers
Answer:
y = 7/4x + 14
Step-by-step explanation:
0 = 7/4(-8) + b
0 = -14 + b
14 = b
y = 7/4x + 14
Translate into an equation: "The difference of half a number and 7 is the same as the sum of the number and 13"
Answers
Answer:
n2 - 7 = n + 13
Find (x^3+7x^2-16x-112) divide (x+4) by using synthetic division.
Answers
Answer:
x^2+3x-28
Step-by-step explanation:
Answer:
The answer is x^2 3x 28
Step-by-step explanation:
What is the domain of the square root function graphed below?
x=-1 x>/=-1
Answers
Answer:
im guessing -1
Step-by-step explain
well it would be greater than -1x-1
Which expression is not equivalent to -3x + 24? Select all that apply.
A. -3(x - 8)
B. -(3x + 24)
C. 3/2(-2x + 16)
D. -1/3( 9x + 8)
E. 6(-1/2x - 4)
F. 8(-3/8x + 3)
Answers
Answer:
B, D, and E
Step-by-step explanation:
You'll have to distribute each and put them into a full equation again.
A. -3x + 24
B. -3x - 24
C. -3x + 24
D. -3x - 8/3
E. -3x - 24
F. -3x + 24
I bolded the ones that did not equal -3x + 24
so your answer is B, D, and E
What is mZG?
Enter your answer in the box.
FGH
(x-5)°
(3x+24)°
x°
Answers
Answer:
The angle for G is 121°.
Step-by-step explanation:
Given that total angles in a triangle is 180° so in order to find the angle of G, first, you hav eto find the value of x :
x + (x - 5) + (3x + 25) = 180°
5x + 20° = 180°
5x = 160°
x = 32°
Next, you have to find the angle of G :
G = 3x + 25
G = 3(32) + 25
G = 96° + 25°
G = 121°
The table shows the relationship of how many pounds of cherries are needed to make a certain number of pies:
Number of Pies
6
12
18
Pounds of Cherries
4
8
12
Which graph below shows plots of equivalent ratios for this situation?
A. A graph is drawn. The horizontal axis and vertical axis values are 0 to 70 in increments of 10. The horizontal axis label is Number of Pies, and the vertical axis label is Pounds of Cherries. Points are plotted on the ordered pairs 20, 30 and 30, 45 and 40, 60.
B. A graph is drawn. The horizontal axis and vertical axis values are 0 to 70 in increments of 10. The horizontal axis label is Number of Pies, and the vertical axis label is Pounds of Cherries. Points are plotted on the ordered pairs 20, 30 and 30, 30 and 40, 30.
C. A graph is drawn. The horizontal axis and vertical axis values are 0 to 70 in increments of 10. The horizontal axis label is Number of Pies, and the vertical axis label is Pounds of Cherries. Points are plotted on the ordered pairs 30, 20 and 45, 30 and 60, 40.
D. A graph is drawn. The horizontal axis and vertical axis values are 0 to 70 in increments of 10. The horizontal axis label is Number of Pies, and the vertical axis label is Pounds of Cherries. Points are plotted on the ordered pairs 20, 50 and 40, 30 and 60, 20.
Answers
Answer:
C. A graph is drawn. The horizontal axis and vertical axis values are 0 to 70 in increments of 10. The horizontal axis label is Number of Pies, and the vertical axis label is Pounds of Cherries. Points are plotted on the ordered pairs 30, 20 and 45, 30 and 60, 40.
Step-by-step explanation:
If we take two of the original points from the data and put them in to two point form we get the following equation.
(6,4) and (12,8)
(y-4) = [(8-4)/(12-6)](x-6)
y = 2/3x
You have to start a the origin since we can only have enough ingredients to make pies and we can't start with partial pies. So move to y intercept up by 2.
Put the x values in for answer C and you'll return the y values.
Answer:
what the guy above me said and its c
Step-by-step explanation:
On Monday, a local hamburger shop sold a combined total of 588 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Monday?
Answers
the answer would be 147.I hope this helps you
Step-by-step explanation:
4h=588
h=588÷4
Jana has a sandbox that is 4 1/2 feet long, 5 feet wide, and 1/2 foot deep. How many cubic feet of sand does she need to fill the sandbox completely.
Answers
Answer:
She needs to fill [tex]11\frac{1}{4}[/tex] ft³ in order to fill the sandbox completely.
Step-by-step explanation:
length = [tex]l[/tex]= [tex]4\frac{1}{2}=\frac{9}{2}=4.5[/tex] feet
width = [tex]w=[/tex] 5 feet
depth = [tex]h=\frac{1}{2}=0.5[/tex] feet
Sandbox is just like a rectangular prism. In order to fill the sandbox completely, we need to determine the volume.
Thus, the formula to find the volume of a rectangular prism can be computed using the formula
[tex]V\:=\:l\:\times \:w\:\times \:h[/tex]
[tex]V=4\frac{1}{2}\times 5\times \frac{1}{2}[/tex]
[tex]=\frac{9}{2}\times \:\:5\times \:\frac{1}{2}[/tex]
[tex]=\frac{45}{2\times \:2}[/tex]
[tex]=11\frac{1}{4}[/tex] ft³
Thus, she needs to fill [tex]11\frac{1}{4}[/tex] ft³ in order to fill the sandbox completely.
Y greater than or less than 1/4 X + 2
Answers
Answer:
y[tex]\geq[/tex]1/4x+2
Step-by-step explanation:
The surface area of a sphere is 196 π . Its radius is
Answers
Answer:
The radius of the sphere is 7 units
Step-by-step explanation:
Surface Area
Given a sphere of a radius (r), the surface area is given by the formula:
[tex]\displaystyle A=4\pi r^2[/tex]
If the surface area is given, we can solve for r:
[tex]\displaystyle r=\sqrt{\frac{A }{4\pi }}[/tex]
The surface area of a sphere is given A=196π.
Calculating the radius:
[tex]\displaystyle r=\sqrt{\frac{196\pi}{4\pi }}[/tex]
[tex]\displaystyle r=\sqrt{49}[/tex]
r = 7 units
The radius of the sphere is 7 units
4x4 - 6x3 +6x-7
-2x2 + 3
what is the quotient
Answers
Answer:
12x
Step-by-step explanation:
Not a quotient because its not division.
What is the slope of the line that passes through the following points:
(4,-3), (-5,10)
Answers
hope this helped
Answer:
13/-9
Step-by-step explanation:
help me please I have no idea what the answer is
Answers
Answer:
-21/10
Step-by-step explanation:
-2/5 - 4/5 = -6/5 <--
a common denominator
Then...
-6/5 -9/10 = -21/10
There is not a common denominator so you have to multiply 2 to the -6/5 to make it -12/10
The answer can be left as an improper fraction which is -21/10
or a mixed number -2 1/10 th
How do you graph 16x-4y=2?
Answers
16x = 4y + 2
4y = 16x - 2
Divide by 4
Y = 4x -1/2
Since the equation is linear, find 3 points and plot them
(0, -1/2), (1, 3.5), (-1, -4.5)
And lastly, draw a line through them
Answer:
I like your cut g
Step-by-step explanation:
Sarah and Henry share some sweets in the ratio 5:6 .
Sarah eats 16 of her sweets and the ratio of sweets left becomes 1:2 .
How many sweets did Henry have?
Answers
5X = 96
X = 96/5
X = 19.4
19.4 x 2 = 38.4
Round up = 39 pieces of Candy
The between two points can be found by drawing a triangle. The length of this is the of the right triangle, the other two sides are and Example One: Determine the distance between the two points: (-2, -3) and (3, 4) (1) the points and the segment. a right triangle, and the units for the legs. (3) the right triangle, with and (4) Set up an equation. → Simplify and solve a² + b² = c²
Answers
Answer:
Don't let anyone bring you down you matter you rock!
Step-by-step explanation:
URGENTTTTTTTTTTTTTTT ASAP MARKING BRAINLIEST
Answers
Answer:
I would say B only IV because all of the others are assuming and there's no way to prove true or not.
Step-by-step explanation:
Number the answer like, in the blank type in the answer. Pls help ignore my answers unless correct
1. ____
2____
3______
Answers
Answer:
1. 32 2. You got that one correct 3. 1 5/34
Step-by-step explanation:
1. 24 / 3/4
3/4 = .75
24/ .75 = 32
3. Turn into improper fraction
13/4 / 17/6
= 1 5/34
Hope this helps dude
What is the unit rate of $8.75 for 2.5 gallons?
Answers
Answer:
21.875
-------------------------------------------------------------------------------------------------$8.75/2.5
$8.75× 2.5= 21.875
2.5×2.5=1
HURRY PLEASE!!
How would you graph this on a slope?
Answers
Answer:
If you wanted to you could go to desmos it helps you graph
Step-by-step explanation:
You are treating yourself this week-end to an afternoon at a paintball park. For three hours Paintball Excursions charges $30 to rent equipment and $15 for each box of paintballs used. On the other side of town, at Paintball USA, they do not charge for rental of equipment but charge $25 for each box of paintballs. Their sessions also last three hours. Write and solve an equation to find the number of boxes of paintballs you would have to use for both parks to charge the same amount.
HELP WILL GIVE BRAINLIEST
Answers
30=10x
x=3
Use the Distributive Property and mental math to find the product.
9×76 =
Answers
Answer:
684
Step-by-step explanation:
Trust
WHICH OF THE FOLLOWING IS THE SLOPE?