1. Given line segment RB and on it is point C, if RB = 45 and CB = 3x - 12 and RC = 2x + 9, what is the value of x?
2. Using the same problem and values above, what is the length of line segment RC?
3.Use the coordinate plane/graph for the third problem.
Find the distance between A and D. Round your answer to the nearest hundredth place. *
Answers
Answer:
Step-by-step explanation:
1). If a point C is lying on a line segment RB,
Then RB = RC + CB
Since, RB = 45, CB = 3x - 12 and RC = 2x + 9
45 = (2x + 9) + (3x - 12)
45 = (2x + 3x) - 3
48 = 5x
x = [tex]\frac{48}{5}[/tex]
x = 9.6
2). Since, RC = 2x + 9
RC = 2(9.6) + 9
= 19.2 + 9
= 28.2 units
3). Distance between the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the formula,
d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Distance between the points A(2, -2) and D(-2, 2) will be,
[tex]AD=\sqrt{(2+2)^2+(-2-2)^2}[/tex]
= [tex]\sqrt{16+16}[/tex]
= [tex]4\sqrt{2}[/tex]
= 5.657
≈ 5.66 units
Related Questions
Is -2 greater than -2 1/2
Answers
Answer: No, -2 1/2 is greater because of the extra half that it has
Step-by-step explanation:
Write 10/25 (Fraction) in lowest terms
Answers
Answer:
2/5
Step-by-step explanation:
Answer:
2/5
Explanation:
2 * 5 = 10
5 * 5 = 25
Nikki is building a wall with bricks. Each brick is 10 inches long. The bricks are laid end-to-end, and one inch of mortar is layered between each brick.
a. Write and equation to model the number of bricks, N, Nikki needs in each layer to build a wall 10 feet long.
b. Solve the equation and state your result in words.
Answers
Answer:
b = 11
11 bricks will be required with 10 (1 inch motar) in between the bricks.
Step-by-step explanation:
Given the following :
Length of brick = 10 inches long
Between each laid brick, there is an inch of mortar layered before the next brick.
Number of bricks needed to build a wall which is 10 feets long.
Converting from feet to inch :
1 foot = 12 inches
Hence,
10 feets = (10 × 12) = 120 inches (length of wall).
Hence number of bricks needed in each layer :
Total length of b, bricks = length per brick × b = 10b
Since mortar is laid in between any two bricks, then length of mortar for b, number of bricks will be (b-1) inches
Since the total length of wall to be constructed is 120 inches ;
Then the equation required =
Sum of brick length + mortar = 120 inches
10 b + (b - 1) = 120
11b - 1 = 120
Hence,
11b = 120 + 1
11b = 121
b = 121 / 11
b = 11
Number of mortar = (b - 1) = - 11 - 1 = 10
Hence, 11 bricks will be required with 10 (1 inch motar) in between the bricks.
if you see this i really need help asap! ty, 'A man pushes a 10 kg box with a force of 5 N. How much will the box accelerate?'
Answers
5kgm/s2=10kg•a
a= 1/2 m/s2
please write and solve the equation for me
Answers
Answer: ok
Step-by-step explanation:
CJ = 3x + 6,
CT = 37, and
JT = 3x + 7
Find JT.
Answers
Answer:
JT=19
Step-by-step explanation:
3x+6+3x+7=37
6x+6+7=37
6x+13=37
-13 -13
6x=24
6x/6=24/6
x=4
3x+7
3(4)+7
12+7
JT=19
i need help with how to do a distributive property & combine like terms.
question: 6r-2r+6
Answers
Answer:
4r+6
Step-by-step explanation:
6r-2r+6
Combine like terms
6r-2r = 4r
4r+6
What expression is equivalent to -8minus4i
Answers
Answer:
-4(2+i)
Step-by-step explanation:
-8-4i (can factor out a 4)
-4(2+i)
line cd has endpoints c(1,4) and d(5,0) line ef has endpoints (4,5) and (2,-1).
Answers
Answer:
yo what up
Step-by-step explanation:
Answer:
gimme dem points
Step-by-step explanation:
Solve for x: x -12 < 7 ????
Answers
Answer:
x<19
Step-by-step explanation:
mark is solving the equation below. In his first step, he distributed both the 11 and 5 correctly. He isn't sure what to do next. HELP Mark by showing him what you would do for the next step in this problem 11(x + 7) = 5(6x - 8) - 6x 11x + 77 = 30x-40-6x
Answers
Answer:
30x-6x
Step-by-step explanation:
What is the solution to
-(6x+8)= 4(17 – x)?
Answers
Answer:
x=30
Step-by-step explanation:
Simplifying
6x + 8 = 4(x + 17)
Reorder the terms:
8 + 6x = 4(x + 17)
Reorder the terms:
8 + 6x = 4(17 + x)
8 + 6x = (17 * 4 + x * 4)
8 + 6x = (68 + 4x)
Solving
8 + 6x = 68 + 4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x' to each side of the equation.
8 + 6x + -4x = 68 + 4x + -4x
Combine like terms: 6x + -4x = 2x
8 + 2x = 68 + 4x + -4x
Combine like terms: 4x + -4x = 0
8 + 2x = 68 + 0
8 + 2x = 68
Add '-8' to each side of the equation.
8 + -8 + 2x = 68 + -8
Combine like terms: 8 + -8 = 0
0 + 2x = 68 + -8
2x = 68 + -8
Combine like terms: 68 + -8 = 60
2x = 60
Divide each side by '2'.
x = 30
Simplifying
x = 30
-(6x+8)= 4(17 – x)? Is x=30
How many triangles are there in this shape
Answers
Answer:
The answer is 15
Step-by-step explanation:
Count the small triangles then the whole they make up
Simplify 4x + 5y - 13xy - x - 2y
Answers
Move the numbers so that the ones with the same variable can be together :> ( examples of variables: x,y,xy)
4x - x + 5y - 2y - 13xy
You can only do the math if the those numbers are the same example: 4x - x = 3x they both have variable so u can subtract them ( remember x = 1x a variable by itself has a invisible 1 next to it). 5y - 2y = 3y.
-13xy is the only one with the variable xy so we gotta just leave it alone
This leads to our answer:
3x + 3y - 13xy
which properties can be used to solve 7y-15=-29? select all that apply.
a. identity property of multiplication
b. addition property of equality
c. distributive property
d. inverse property of multiplication
e. commutative property of addition
Answers
Answer:
e d and b
Step-by-step explanation:
just trust me
Evaluate: 5x + 3 for when x = 2
Answers
Answer:
13
Step-by-step explanation:
5 · x + 3 = 5 · 2 + 3 = 10 + 3 = 13
A gym membership is $100 sign-up fee and charges $20 a month thereafter. How much is the membership fee in a month?
Answers
Answer:
$120
Step-by-step explanation:
y = mx + b
The $100 sign up fee is a set amount, or the b value.
The $20 would be the m value since it the constant change, or the slope.
Thus, the equation would be y=20x + 100
The membership fee for 1 month would be --->
y= 20(1) +100
y= 20 + 100
y= $120
is The Chocolate Chips in a Pancake a plane a point line or line segment
Answers
Answer:
Line segement
Step-by-step explanation
Yum
Find the weekly wages for a person who earns $12 an hour and worked 8 hours from Monday through Sunday
Answers
Answer:
$672 per week.
Step-by-step explanation:
12x8 = 96
96x7 = 672
Answer:
$665 per week
Step-by-step explanation:
first you do 12*8 to see how much money the person gets per day, which would be 96 dollars per day. then, multiply 96 by 7, to calculate how much the person gets per week, which is $665 per week if this helped plz plz plz give me brainliest :D
The diagram shows a circle inside a square.
a
16 cm
Work out the area of the circle.
Answers
Answer:
Side of square=Diameter of circle=16
Radius= Diameter/2=16/2=8
Area of circle=4Πr²
=4*3.14*8²
=803.84cm²
The area of the circle that is formed inside the square will be 200.96 square cm.
What is the area of the circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
Let r be the radius of the circle. Then the area of the circle will be
A = πr² square units
The length of the square is 16 cm.
From the diagram, the length of the square is equal to twice the radius of the circle. Then we have
2r = a
2r = 16
r = 8 cm
The area of the circle is given as,
A = π (8)²
A = 3.14 × 64
A = 200.96 square centimeters
The region of the circle that is framed inside the square will be 200.96 square cm.
More about the area of a circle link is given below.
https://brainly.com/question/11952845
#SPJ5
Solve the equation.
| 3+x | = -3
Answers
Answer:
No Solution
Step-by-step explanation:
There are no values of x that make the equation true.
can someone help me with factoring by grouping please show step by step
Answers
3 times 1 squared - 11 times 10
1 raised to any power equals 1
calculate the product
3 times 1 -110x
any expression multiplied by one stays the same
3-110x
i hope this helped! thanks!
Mike is driving a boat at 12 mph and is increasing his speed by 0.2 mph each second.. Hank is driving a boat at 26.4 mph and is decreasing his speed by 0.7 mph each second. After how many seconds will the boats be traveling the same speed?
Answers
Answer:
13.3 seconds
Step-by-step explanation:
Answer:
12+0.2x=−25−0.7x
Step-by-step explanation:
Find the midpoint of AB if A(-3, 8) and B(-7, -6).
(-5,7)
(2,1)
(-5,1)
(2,7)
Answers
Answer:
Step-by-step explanation:
(-3-7)/2= -10/2= -5
(6-2)/2= 2/2= 1
(-5, 1)
C is the answer
A shoreline at the beach is changing -5 centimeters each year due to wind and water erosion what is the change in the shoreline over the next 7 years
Answers
Answer:
35
Step-by-step explanation:
I hope this was helpful.
Help please!!! I need help it is Add/sub like fraction 3/4 -1/4 -2/4
Answers
Answer:
answer is 0
Step-by-step explanation:
3/4-1/4=2/4
2/4-2/4=0
1.
Simplify these ratios.
(a) 1.8 kg : 600 grams
(b)
1 hour 20 minutes : 30 minutes
Answers
Answer:
a) 3 :1
b)8 : 3
Step-by-step explanation:
When finding ratio's, both should be in same units.
1.8 kg = 1.8 * 1000
= 1800.0 grams
1.8 : 600 = 1800 : 600 = 18 : 6
= 3 : 1
b) 1 hour 20 minutes = 60 + 20 = 80 minutes
1 hour 20 minutes : 30 minutes = 80 : 30
= 8 : 3
Answer:
a. 3grams : 1gram b. 8 minutes : 3 minutes
Step-by-step explanation:
1.8kg is the same as 1800 grams.
1800:600 is the same as 3:1.
1 hour 20 minutes is the same as 80 minutes.
80:30 is the same as 8:3.
What is the difference between a line, line segment, and a ray?
Answers
Answer:A line segment has two endpoints. It contains these endpoints and all the points of the line between them. ... A ray is a part of a line that has one endpoint and goes on infinitely in only one direction. You cannot measure the length of a ray.
Step-by-step explanation:
We have a line, line segment and ray.
We have to differentiate between the three of them.
State the Dimension of a line?Line along with line segment and ray are all one - dimensional in nature.
A line, line segment, and a ray can be differentiated as follows -
Line - Collection of points in a straight path is called line. It has no endpoint. It does not have any fixed length. The line has length but no width. A line is made up of a set of points that extend infinitely in opposite directions.Line Segment - A line segment is part of a line that has two endpoints and is finite in length. Ray - Ray is a part of the line. It has one endpoint and no fixed length. A ray can be extended infinitely in any one direction. A ray is also called a half-line. We do not measure the length of a ray.Hence - a line, line segment, and a ray is differentiated.
To solve more questions on line, line segment, and ray, visit the link below -
https://brainly.com/question/11689511
#SPJ2
X-2y=-2 find the slope
Answers
Answer:
1/2
Step-by-step explanation:
If you need the y intercept its (0,1)
3(x+7)+6=-9 there is no
answer for this
Answers
Answer:
x= -12
Step-by-step explanation:
3(x+7)+6= -9
3x+21+6= -9
subtract 6 from both sides that gives you your equation that you can work with.
3x+21= -15
then subtract 21 from both sides that gives you
3x/3 = -36/3
the 3 cancels out and leaves you with -36 divided by 3
your answer is -12
[tex]\text {Hello! The answer to your problem is...}[/tex]
[tex]\fbox {x=-12}[/tex]
[tex]\text {Your 1st Step is to Simplify the Equation}[/tex]
[tex]\text {(3)(x)+(3)(7)+6=-9 (Distribute)}[/tex]
[tex]\text {3x+21+6=-9}[/tex]
[tex]\text {(3x)+(21+6)=-9 (Combine Like Terms)}[/tex]
[tex]\text {3x+27=-9}[/tex]
[tex]\text {Your 2nd Step is to Subtract 27}[/tex]
[tex]\text {3x+27-27=-9-27}[/tex]
[tex]\text {3x=-36}[/tex]
[tex]\text {Your 3rd/Final Step is to Divide 3}[/tex]
[tex]\text {3x/3=-36/3}[/tex]
[tex]\fbox {x=-12}[/tex]
[tex]\text {Best of Luck!}[/tex]
[tex]\text {-LimitedX}[/tex]
