Answer:
CM = 16
MD = 16
CD = 32
Step-by-step explanation:
To find the value of x
3x + 1 = 8x - 24 (we know that M is the mid point so both of the lines will be equal)
Transpose
1 + 24 = 8x - 3x
25 = 5x
x = 25/5
x = 5
CM = 3x + 1
= 3(5) + 1
= 15 +1
= 16
MD = 8x - 24
= 8(5) - 24
= 40 - 24
= 16
CD = CM + MD
= 16 + 16
= 32
Evaluate:
2a + 7b for a = 5 and b = 3
Answer:
31
Step-by-step explanation:
Substitute the values for the variables.
[tex]2(5)+7(3)\\10+21\\31[/tex]
hello,
substitute in the numbers
2(5) + 7(3)
10 + 21
= 31
Please help, I can’t do this
Answer:
Choice 3. -4x-3<13
Step-by-step explanation:
First, you will use process of elimination and cross out any obvious wrong answers. You can see that the symbol would not be flipped yet so the "<" would be pointing to less than. That eliminates choice 1 and 4. Now, You can observe the 3rd step and see that -4x<16, to get that, you would need a "-4x" in the equation. Number 2 is 2x so that can't be right. Therefore, the answer is choice 3. This simple process of elimination and looking for clues will help you greatly in multiple choice problems instead of solving it the hard way.
Answer: C
Step-by-step explanation:
[tex]-x-3 < 13+3x\\\\\Longleftrightarrow\ -x-3x-3 < 13\\\\this \ step \ is \ missing\ -4x-3 < 13\\\\\Longleftrightarrow\ -4x < 13 + 3\\\\\Longleftrightarrow\ -4x < 16\\\\\Longleftrightarrow\ 4x > -16\\\\\Longleftrightarrow\ x > -4\\\\Answer\ C[/tex]
Yes or no on each one
Answer:
NO
YES
NO
YES
Step-by-step explanation:
for example :
(4³)³ = 4^9
4³.4³ = 4^6
Can anybody help find the line of reflection??
I'll do part (a) to get you started. Part (b) will follow the same sort of steps.
In part (a), we have these two points
A = (-3,2)B = (3,8)You can call the points any letters you want. Let's find the slope of line AB
m = (y2-y1)/(x2-x1)
m = (8-2)/(3-(-3))
m = (8-2)/(3+3)
m = 6/6
m = 1
The slope of line AB is 1.
The mirror line will have the negative reciprocal of this slope, so the slope of the mirror line is -1. In other words, the mirror line slope is perpendicular to line AB. We'll use this perpendicular slope later.
-------------------------------------------
Next, we find the midpoint of segment AB
Average the x coordinates to get (x1+x2)/2 = (-3+3)/2 = 0/2 = 0
Repeat for the y coordinates: (y1+y2)/2 = (2+8)/2 = 10/2 = 5
The midpoint of AB is (0,5)
-------------------------------------------
The mirror line will have two defining traits
The slope of the mirror line is m = -1The mirror line goes through the midpoint (x,y) = (0,5)So,
y = mx+b
y = -1x+b ... plugging in that perpendicular slope
5 = -1*0+b .... plugging in (x,y) = (0,5)
5 = 0+b
b = 5
The equation of the mirror line is y = -x+5 as shown in the diagram below. The mirror line is shown in green. Point D isn't important as it's just used to help set up the 90 degree angle.
This wraps up part (a) and I'll let you handle part (b). If you're stuck, then feel free to ask.
find 2^5 root 4 root (2^3)^4
Step-by-step explanation:
[tex]2^5\cdot\sqrt4\cdot(2^3)^4[/tex]
[tex]=2^5\cdot4^\frac12\cdot(2^3)^4[/tex]
[tex]=2^5\cdot(2^2)^\frac12\cdot(2^3)^4[/tex]
[tex]=2^5\cdot2^{2\cdot\frac12}\cdot2^{3\cdot4}[/tex]
[tex]=2^5\cdot2^1\cdot2^{12}[/tex]
[tex]=2^{5+1+12}[/tex]
[tex]=2^{18}[/tex]
help with number 4!!!!!!
Answer:
he have to travel 12 cm/km
Step-by-step explanation:
lets find x by transposing
3x = 2x + 2 (as M is the midpoint)
3x - 2x = 2
x = 2
now put 2 instead of x
3x + 2x +2 = (distance from friends home to house)
3 (2) + 2 (2) +2
6 + 4 + 2
10 + 2
= 12
find the distance between the points (3, 7) and (2, 6)
Answer:
1.414214
Step-by-step explanation:
I think this is right lol.
Help Pls!
A pile of 15 boxes is 3 metres high. What is the depth of each box?
a=b-c
How do I write it as c=?
and the equation
Answer:
The Quadratic Formula uses the "a", "b", and "c" from "ax2 + bx + c", where "a", "b", and "c" are just numbers; they are the "numerical coefficients" of the quadratic equation they've given you to solve.
Step-by-step explanation:
QP AND QN are :
a . parallel
b . perpendicular
c . skew
Answer:
Perpendicular
Step-by-step explanation:
Perpendicular lines are lines that intersect at a right (90 degrees) angle.
A polynomial f (x) has the given zeros of 8, –1, and –3.
Part A: Using the Factor Theorem, determine the polynomial f (x) in expanded form. Show all necessary calculations. (3 points)
Part B: Divide the polynomial f (x) by (x2 – x – 2) to create a rational function g(x) in simplest factored form. Determine g(x) and find its slant asymptote. (4 points)
Part C: List all locations and types of discontinuities of the function g(x). (3 points)
The answer is "[tex]\bold{x^3-4x^2-29x-24, y=x-3,\ and\ x=2}[/tex]" and following are the complete solution to the given parts:
For point A)[tex]\to \bold{f(x)=(x-8)(x+1)(x+3)=(x^2-7x-8)(x-8)=(x^3-4x^2-29x-24)}[/tex]For point B)
[tex]\to \bold{x^2-x-2=(x-2)(x+1)}\\\\\to \bold{g(x)=\frac{(x-8)(x+1)(x+3)}{(x-2)(x+1)}}[/tex]
When [tex]x \neq -1[/tex] then
[tex]\to \bold{g(x)=\frac{(x-8)(x+3)}{x-2}}\\\\\to \bold{\lim_{n \to \infty} \frac{g(x)}{x}}[/tex]
So
For point C)
It is discontinuity when a [tex]\bold{x=2}[/tex] that is a vertical asymptote.
Learn more:
brainly.com/question/24520259
Answer:
Part A:
x^3 - 4x^2 - 29x -24
(x + 1)(x - 8)(x + 3)
Part B.
(x + 1)(x - 8)(x + 3) / x^2 - x - 2= (x + 3)(x - 8) / x - 2
g(x)= (x + 3)(x - 8) / x - 2= y= x - 3
Part C.
x=2.
Step-by-step explanation:
See images for more information, it wouldn't let me post it.
If (x) = x/2 -3 and g(x) = 3 x 2 + x - 6 , find (f+g) (x)
Answer:
[tex](f + g)(x) = ( \frac{x}{2} - 3) + (3 {x}^{2} + x - 6) \\ \\ = 3 {x}^{2} + (\frac{x + 2x}{2} ) - 9 \\ \\ = 3 {x }^{2} + \frac{3x}{2} - 9 \\ \\ [/tex]
I hope I helped you^_^
Pls help need this ASAP in 10 mins
If LN = 54 and LM = 31 find MN
Answer:
-23
Step-by-step explanation:
MN = ML(LM) - LN
MN = 31 - 54 = -23
CMIIW
4 less than n is 9.?
Answer:
13. Bestie literally 9+4
Answer:When solving a question like "What number is 4 less than 9?", take a close look at what it is really asking.
You have the number 9 and you are looking for a number that is 4 less than 9. In other words, if you have 9 and take away 4, then how many do you have?
You guessed it! This is a subtraction problem. 9 is the minuend and 4 is subtrahend and the answer we are looking for is the difference.
Therefore, to solve "What number is 4 less than 9?", you subtract 4 from 9 like so:
9 - 4 = 5
Step-by-step explanation:
hhhhhhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeeeeeelllllllllllllllllllpppppppppppppppppppppppppppppppppppppppppp
Answer:
The choose;
[tex]3 \frac{9}{10} [/tex]
Step-by-step explanation:
[tex]2 \frac{3}{5} \div \frac{2}{3} \\ \\ = \frac{13}{5} \div \frac{2}{3} \\ \\ =\frac{13}{5} \times \frac{3}{2} = \frac{39}{10} \\ \\ = 3 \frac{9}{10} [/tex]
I hope I helped you^_^
Someone Please help me on this question!
Answer:
A. [tex]g(x) = \sqrt[3]{x} + 3[/tex]
Find the LCM of 13 and 52.
LCM =
.
Answer:
Step-by-step explanation:
13 , 52
Here 13 is a prime number. So, check if 52 is a multiple of 13.
Yes, 13*4 = 52
LCM = 52
Answer:
52
Step-by-step explanation:
L.C.M of 13 and 52 is,
13 | 13 , 52
4 | 1 , 4
| 1 , 1
L.C.M = 13 x 4 = 52
Question 14 of 25
Simplify the expression and enter your answer below.
(171/7)7
Answer here
SUBMI
Answer:
171Step-by-step explanation:
To simplify the expression:(171/7) × 7 =171So I need help for this this is the question.
Answer:
1B, 2E, 3D, 4C, 5A
Step-by-step explanation:
integers are whole numbers and their opposites. ex. -1, 1, 0, 2, -2
natural numbers are 1 to infinity.
whole numbers are 0 to infinity
rational numbers are fractions and decimals
irrational numbers are square roots
plsss helpppp will mark brainliest!!
Answer:
D. 2¹⁵/4¹⁰
Step-by-step explanation:
(2³/4²)⁵ = 1/64
A. 2⁸/4⁷ = 1/128
B. 2⁵/4⁴ = 1/16
C. 2⁶/4⁶= 1/128
D. 2¹⁵/4¹⁰= 1/64
SO (2³/4²)⁵ = 2¹⁵/4¹⁰
Decide!!!!!!!!!!!!!!
Answer:
547Step-by-step explanation:
The minute hand hits the 0 minute once each hour. This results each hour to become 61 minutes.
Number of hours from Monday 00:01 to Friday 07:30 is 4*24 + 7.5 = 103.5
Extra time considering defective clock (full hours):
103 minutes = 1 hr and 43 minAlarm to be set at:
07:30 - 1:43 = 6:00 - 0:13 = 05:47The answer is:
5*100 + 47 = 547It rained 12 days out of 30 days. Which
ratio compares the number of rainy days to
the number of dry days?
Help (Geomotry)3
Helpppppp.
If you add 8x and 14x it will give you 22x
If you subtract 11-1 you have 10.
so the answer is 22x -10
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
Find the measure of JL.[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
Given, K is the midpoint of JL. So, JK = KL.
KL = 14x - 1JK = 8x + 11JL = ?________
JL = JK + KL (given that K is the midpoint of JL)
JL = (8x + 11) + (14x - 1)
________
[tex] \large \boxed{\mathfrak{Steps} \downarrow}[/tex]
[tex] \sf( 8 x + 11 ) + ( 14 x - 1 )[/tex]
Combine 8x and 14x to get 22x.
[tex] \sf \: 22x+11-1 [/tex]
Subtract 1 from 11 to get 10.
[tex] \boxed{ \boxed{ \bf22x+10 }}[/tex]
________
Also given that, JK = KL.
So, (8x + 11) = (14x - 1)
⇨ (8x + 11) = (14x - 1)
⇨ 8x + 11 = 14x - 1
⇨ 11 + 1 = 14x - 8x
⇨ 12 = 6x
⇨ x = 12 / 6
⇨ [tex] \boxed{ \boxed{ \bf \: x= 2 }}[/tex]
________
Now, value of JL will be,
JL = 22x + 10
Substitute the value of x.
JL = 22(2) + 10
JL = 44 + 10
[tex] \boxed{ \boxed{ \bf\: JL = 50 }}[/tex]
⇨ So, the value of JL will be 50 units.
Solve the equation (-20)-2+9+18
Answer:
5
Step-by-step explanation:
SOMEBODY PLEASE ANSWER THIS IVE BEEN TRYING FOR 2 DAYS NOW I NEED HELP. The value of a car is depreciating by 12% per year.
Write a rule expressing the value of the car after x years if it is currently worth $15,000.
What will the car be the worth in 10 years ? What was the car worth 5 years ago ?
Help me, please this isn't really so hard, but I really need help
Answer:
what topic???????????????????
5x -4= 4x please help me
[tex]5x-4=4x\\\\5x-4x=4\\\\\huge\boxed{x=4}[/tex]
Answer:
4=x
Step-by-step explanation:
5x-4=4x
-4=-x
4=x
 Nates architectural client said she wanted the worth of every room in your house increase by 2 feet and the length increase by 5 feet. The polynomial 2s^2-w-20 gives the area of any room in the house with w representing the rooms with. The width of the kitchen is 16 feet. What is the area of the kitchen?
Answer: 3(19)^2 - 19 - 20
3(361)-39
1083-39
1044
The area is 1044 ft.^2
The area is 1044
Step-by-step explanation:
A rectangular room is 5 meters longer than it is wide, and its perimeter is 26 meters. Find the dimension of the room.
Answer:
l=×+5
w=×
p=2(×+5+×)
=2(2×+5)
26=4×+10
26-10=4×
16=4×
×=4
length=5+4=9
width=4