The equation is given as: 13x - 4 - 74 = 0
The value of x is 6
AB = 53
BC = 21
Given,
B is between points A and C on AC.
AB = 8x + 5
BC = 5x - 9
AC = 74
We need to write an equation using the information in terms of x
We also need to find x, AB, and BC.
If there is a point between two points of a line, the sum of the two lines separated by the point is equal to the line given.
Example:
M______N____________O
Then,
MN + NC = MO
Find the equation that represents AC with point B between A and C.
We have,
A______B___________C
AB = 8x + 5
BC = 5x - 9
AC = 74
Now,
AC = AB + BC
74 = 8x + 5 + 5x - 9
74 = 13x - 4
13x - 4 - 74 = 0
Find x.
74 + 4 = 13x
78 = 13x
x = 78 / 13
x = 6
Find AB
AB = 8x + 5
= 8x6 + 5
= 48 + 5
= 53
Find BC
BC = 5x - 9
= 5x6 - 9
= 30 - 9
= 21
Thus,
The equation is given as: 13x - 4 - 74 = 0
The value of x is 6
AB = 53
BC = 21
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In the figure below, O is between M and P, and N is the midpoint of MO. IF NO=3 and MP = 10, find OP.
Answer:
OP = 4
Step-by-step explanation:
N is the midpoint of MO.
Since NO = 3, then MN = 3, and MO = 3 + 3 = 6
MO + OP = MP
6 + OP = 10
OP = 4
A line segment is also a line but the line with finite length and having fixed endpoints. The length of the line segment OP is 4 units.
What is a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
Given the following details as:
O is between M and P.N is the midpoint of MO. NO=3 and MP = 10.Now, from the figure, We have,
Since O is between M and P and N is the midpoint between MO
MP = MN + NO + OP _____(1)
Now,
N is the midpoint of MO so,
MN = N0
N0 = 3 and MP = 10 ____(2)
MN = NO = 3 _______(3)
From (1)
MP = MN + NO + OP
Substituting (2) and (3) in (1)
10 = 3 + 3 + OP
10 = 6 + OP
Subtracting 6 on both sides
10 - 6 = 6 + OP - 6
4 = OP
OP = 4
Thus, OP = 4.
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Tom has 40$ to spend. He spend $21.40 on a light saber. He needs to set aside $15 for a toda t-shirt. If skittles cost $0.58 per package, what is the maximum number of skittles packages he can buy? PLEASE HELP
Answer:
6
Step-by-step explanation:
40 - 21.40 = 18.6
18.6 - 15, for the amount he sets aside for shirt = 3.6 left to spend
3.6 divided by 0.58 = 6.20
so rounded, the answer should be 6 packages of skittles
Which of the following is the solution to lx-13 k 18 ?
A. x < 31
B. x < 31 and x > -5
C. X<31 and x < -5
D. X<31 or x > -5
Factor completely
6х2 - 23х + 20
Answer:
The answer is (2x-5) (3x-4).
3 + 6b = 5b
b =
Help
Answer:
b= -3
Step-by-step explanation:
3= -b
b= -3
Answer:
b= -3
Step-by-step explanation:
3+6b=5b
6b-5b=-3
b=-3
The table below shows two equations:
Equation 1 |2x - 3| + 5 = 4
Equation 2 15x + 31 – 10 = 3
Which statement is true about the solution to the two equations?
Answer:
First x=-2
Second x= -11.94
Step-by-step explanation:
1 |2x-3|+5=4
2x+3+5=4
2x+8=4
2x=-4
Divide by 2 for both parties
X = -2
Number 2
215x +31-10=3
215x+21=3
215x= -18
Divide by 215 on both sides
X= - 11.94
Multiply (3)x(−4)x(2).
Answer:
-24x²
Step-by-step explanation:
remove the parentheses, multiply the numbers, apply exponent rule and add the numbers
HELP MEEE OMGGGG JESSUS AMENNN
Answer:
Answers in the pics
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)
Find the distance between each pair of points (-1,4) and (1,-1)
Answer:
d = [tex]\sqrt{29}[/tex]
Step-by-step explanation:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(1-(-1))^2+(-1-4)^2} \\d= \sqrt{(2)^2+(-5)^2} \\d= \sqrt{4+25} \\d=\sqrt{29}[/tex]
The distance between each pair of points (-1,4) and (1,-1) is √29 units after using the distance formula.
What is a distance formula?It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
It is given that:
The distance between each pair of points (-1,4) and (1,-1)
Two points are (-1, 4) and (1, -1)
To find the distance between the above two points using the distance formula:
[tex]\rm d=\sqrt{(1-(-1))^2+(-1-4)^2}[/tex]
[tex]\rm d=\sqrt{(1+1)^2+(-1-4)^2}[/tex]
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division
d = √[(2)² + (-5)²]
d = √(4 + 25)
d = √29 units
Thus, the distance between each pair of points (-1,4) and (1,-1) is √29 units after using the distance formula.
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Answer ASAP Which is a y-intercept of the continuous function in the table? (5, 0) (0, 1) (0, 5) (1, 0)
Answer:
(0, 5 )
Step-by-step explanation:
The y- intercept is where the function crosses the y- axis.
This occurs when x = 0 , thus
From the table when x = 0 , f(x) = 5 , thus
y- intercept is (0, 5 )
y- intercept is (0, 5 )
-14x+28+6x=-44 simplify.
Find the endpoint of Segment AB, if A(2,5) and the midpoint is (0, 2).
Find the other end point!
Answer:
Step-by-step explanation:
(x + 2)/2 = 0
x + 2 = 0
x = -2
(y + 5)/2= 2
y + 5 = 4
y = -1
(-2, -1) the other endpoint
please help will mark brainlist
Step-by-step explanation:
Step by Step Solution:
More Icon
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "/-19" was replaced by "/(-19)".
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
s/(-19)-(-29)=0
Step by step solution :
STEP
1
:
s
Simplify ———
-19
Equation at the end of step
1
:
s
——— - -29 = 0
-19
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using -19 as the denominator :
-29 -29 • -19
-29 = ——— = —————————
1 -19
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
s • -1 - (-29 • 19) 551 - s
——————————————————— = ———————
19 19
Equation at the end of step
2
:
551 - s
——————— = 0
19
STEP
3
:
When a fraction equals zero
3.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
551-s
————— • 19 = 0 • 19
19
Now, on the left hand side, the 19 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
551-s = 0
Solving a Single Variable Equation:
3.2 Solve : -s+551 = 0
Subtract 551 from both sides of the equation :
-s = -551
Multiply both sides of the equation by (-1) : s = 551
HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!
1. Given that point M is the midpoint of AC , find the coordinates of the missing
endpoint when you are given one endpoint and the coordinates of the midpoint.
M(-2, 2) and A(2,8)
Given:
Coordinates of point A are (2,8).
Point M(-2,2) is the midpoint of AC.
To find:
The coordinates of C.
Solution:
Let the coordinates of point C are (a,b).
Formula for midpoint:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Using the above formula, the midpoint of A(2,8) and C(a,b) is
[tex]M=\left(\dfrac{2+a}{2},\dfrac{8+b}{2}\right)[/tex]
[tex](-2,2)=\left(\dfrac{2+a}{2},\dfrac{8+b}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{2+a}{2}=-2[/tex]
[tex]2+a=-4[/tex]
[tex]a=-4-2[/tex]
[tex]a=-6[/tex]
and,
[tex]\dfrac{8+b}{2}=2[/tex]
[tex]8+b=4[/tex]
[tex]b=4-8[/tex]
[tex]b=-4[/tex]
Therefore, the coordinates of point c are (-6,-4).
simplify ^3√p^4 q^6 r^5
Answer:
3p^2q^3r^2√r
Step-by-step explanation:
how do I do this :( I tried but I can’t figure out how to
Answer:
Step-by-step explanation: got you
slope 2/3
x | y
0 -1
2/3 0
5x-2=8+5y solve for y
Answer:
y = x - 2
Step-by-step explanation:
8 + 5y = 5x - 2
5y = 5x -2 - 8
5y = 5x - 10
5y/5 = (5x - 10)/5
y = x - 2
The equation 5x - 2 = 8 + 5y can be written as in terms of x as y = x - 2; the answer is y = x - 2.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The equation is:
5x - 2 = 8 + 5y
The above equation represents the linear equation in one variable.
To solve for y make the subject as y
5y = 5x - 2 - 8
5y = 5x - 10
y = (5x - 10)/5
y = x - 2
Thus, the equation 5x - 2 = 8 + 5y can be written as in terms of x as y = x - 2; the answer is y = x - 2.
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What’s y-6=4(x+3) in slope intercept form?
Answer:
Step-by-step explanation:
y = 4x + 18
What is the product of 2x - 5 and 3x2 + 5x - 7? Write your answer in standard form.
(a) Show your work.
(b) Is the product of 2x – 5 and 3x2 + 5x - 7equal to the product of 5x - 2 and 3x2 + 5x - 7? Explain your answer
Answer:
(2x - 5 ) (3x^2 + 5x - 7) = 6x^3 - 5x^2 - 39x - 35
The product of 2x – 5 and 3x2 + 5x - 7equal to the product of 5x - 2 and 3x2 + 5x - 7 are not equal.
Step-by-step explanation:
Product means multiplication
Product of 2x - 5 and 3x^2 + 5x - 7
(2x - 5 ) (3x^2 + 5x - 7)
= 6x^3 + 10x^2 - 14x - 15x^2 - 25x - 35
Collect like terms
= 6x^3 + 10x^2 - 15x^2 - 14x - 25x - 35
= 6x^3 - 5x^2 - 39x - 35
Product of 5x - 2 and 3x^2 + 5x - 7
(5x - 2) (3x^2 + 5x - 7)
= 15x^3 + 25x^2 - 35x - 6x^2 - 10x + 14
Collect like terms
= 15x^3 + 25x^2 - 6x^2 - 35x - 10x + 14
= 15x^3 + 19x^2 - 45x + 14
The product of 2x – 5 and 3x^2 + 5x - 7equal to the product of 5x - 2 and 3x^2 + 5x - 7 are not equal.
They both consist of different variables in their multiplier
11+4+x=x+9. kaksjdjdbdjjdjdbdbd
Answer:
x=0.6
Step-by-step explanation:
11+4+x=x+9
15+x=x+9
15x=9x
9/9=1
9/15=0.6
x=0.6
10 What is the slope of the line that passes through the points
(-6, 13) and
(8, -29)?
-3 3 -1/3 1/3
Answer:
Slope: -3
Step-by-step explanation:
-29-13=-42
8-(-6)= 14
-42/14= -3
Which of the following is a factor of 10x + 5?
A. 5
B. 10
C. х
D. 5x
Based on our analysis, options A and D are factors of 10x + 5. Therefore, the correct answers are: A. 5 and D. 5x
To determine which of the given options is a factor of 10x + 5, we need to check if the option can be divided evenly into 10x + 5.
Let's go through each option:
A. 5: Yes, 10x + 5 can be divided evenly by 5, as (10x + 5) ÷ 5 = 2x + 1.
B. 10: No, 10x + 5 cannot be divided evenly by 10, as 10 is greater than 10x + 5.
C. х (x): No, 10x + 5 cannot be divided evenly by x, as x is a variable and cannot be factored out completely.
D. 5x: Yes, 10x + 5 can be divided evenly by 5x, as (10x + 5) ÷ 5x = 2 + (1/x).
Based on our analysis, options A and D are factors of 10x + 5. Therefore, the correct answers are: A. 5 and D. 5x
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Evaluate -Z + 7.49 for Z = -7.1
Multiply 15×2.23**
Simplify the expression: 4x+2+12x+17*
Divide: 0.24÷0.012**
Give two numbers that are less than -4.
Answer:
33.45
16x+19
20
Sarah's parents started a savings account for her when she was 12. The plan her parents chose earns 3.2% each year, and her parents initial deposit was $3500. How much will be in Sarah's savings account after 3 years when Sarah is ready to look for a car?
Answer:
$3846.87
Step-by-step explanation:
Assuming the interest is compounded annually, the value in 3 years is ...
FV = P(1 +r)^t
FV = $3500(1.032^3) ≈ $3846.87
Sarah's account will be worth about $3846.87.
n + m-a=d solve for m
HELP!!
Answer:
m = d - n + a
Step-by-step explanation:
Subtract n and add a on both sides to isolate m
4/11x10/8
What is the answer
Answer:
5/11
Step-by-step explanation:
4/11 × 10/8
= 40/88
= 5/11
Is compare 3 >,< or =
Is compare 4 >,< or =
Please help
Answer:
First one is <
Step-by-step explanation:
Second one is =
Use the steps to finish writing an equivalent equation for y in terms of x. −6x = 12 − 4y 1. Subtract 12 from both sides: −6x − 12 = −4y 2. Divide −4 to both sides: −6x − 12 −4 = −4y −4 x + 3 = y
Answer: 1.5x
Step-by-step explanation:
Answer:
1.5x + 3 = y
Step-by-step explanation:
−6x = 12 − 4y
1. Subtract 12 from both sides: −6x − 12 = −4y
2. Divide −4 to both sides: -6x-12 over -4 = -4y over -4