Answer:
The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly. ( x − 7 ) ( x + 6 ) ( x + 7 ) ( x 2+ 66 ) ( x − 4 )
Step-by-step explanation:
Round your answer to the nearest tenth.
Answer:
The value of MB = 8.4
Step-by-step explanation:
We know that the point of intersection of the Medians of a triangle is called the centroid of a triangle.
Thus,
For the given triangle ΔJKL,
The point M is the centroid of the triangle.We also know that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side.
Also, each Median is split into two parts such that the longer part is 2 times the length of the smaller part.
In our case,
The median KB is split into two parts such that the longer part KM is 2 times the length of the smaller part MB.
i.e.
KM = 2 MB
Given KM = 16.8
so substitute KM = 16.8 in the equation KM = 2 MB
16.8 = 2 MB
MB = 16.8/2
MB = 8.4
Therefore, the value of MB = 8.4
or false if that was worried and simplify to say it was a slave through his own curiosity and I was worried because of the fact I have had been working in my last three months but the following x are the
What is 11.242/22 eqaul?
I need ASAP
Answer:
11.242÷22=0.511
Plzzzzz give me Brainliest!!!!!
Help please!!!!!!!!!
Answer:
440 square inches
Step-by-step explanation:
5 x 8 x 11 = 440
Is this correct for number 5 if not please help
Answer:
Yes it is! good job
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
1. Use the Pythagorean Theorem to find x.
19
16
Iliana multiplied 3p – 7 and 2p2 – 3p – 4. Her work is shown in the table.
The expression (3 p minus 7)(2 p squared minus 3 p minus 4) is shown above a table with 3 columns and 2 rows. First column is labeled 2 p squared, second column is labeled negative 3 p, the third column is labeled negative 4. First row is labeled 3 p with entries 6 p cubed, negative 9 p squared, negative 12 p. Second row is labeled negative 7 with entries negative 14 p squared, 21 p, 28.
Which is the product?
6p3 + 23p2 + 9p + 28
6p3 – 23p2 – 9p + 28
6p3 – 23p2 + 9p + 28
6p3 + 23p2 – 9p + 28
Which is the product?
6p3 + 23p2 + 9p + 28
6p3 – 23p2 – 9p + 28
6p3 – 23p2 + 9p + 28
6p3 + 23p2 – 9p + 28
The expression 3x3 should be 3x2.
The expression 6x should be 6xy.
The expression x2y should be x2y2.
The expression 4y should be 4y2.
Answer: Answer Is C
Step-by-step explanation: Did the Quiz test thing
Answer:
C. 6p3 – 23p2 + 9p + 28
Step-by-step explanation:
edge
Jen has 1 chocolate bar she is sharing with her friend, Joe. Jen takes 2/3 of Joe’s piece. What’s Joe’s current piece?
Answer:1/3
Step-by-step explanation:
If Jen has 1 chocolate bar means that he has 3/3 whole .If he gives 2/3 then he will be left with 1/3 part of the chocolate bar.
Matt's den is 10 feet longer than it is wide. If the dents area is 231 square feet, what are the dimensions of the room?
The dimensions of the room are
ft.
(Use a comma to separate answers as needed.)
Answer:
[tex]21\: \mathrm{feet\: by}\: 11 \: \mathrm{feet}[/tex]
Step-by-step explanation:
(Assuming the den is a rectangle)
Let [tex]x[/tex] be the length of the den. Because the length is 10 feet longer than the width, the width of the den can be represented as [tex]x-10[/tex].
The area of a rectangle is given as [tex]l\cdot w[/tex], therefore we can form the following equation:
[tex]x(x-10)=231[/tex]
Expanding this, we have:
[tex]x^2-10x=231, \\\\x^2-10x-231=0[/tex]
This factors into [tex](x-21)(x+11)=0[/tex], therefore [tex]x=21, \: -11[/tex].
Because -11 is extraneous, the length of the den is [tex]21[/tex] feet and the width is [tex]21-10=11[/tex]. Thus, the dimensions of the den are [tex]\fbox{$21\: \mathrm{feet\: by}\: 11 \: \mathrm{feet}$}[/tex].
Question 3
1
Marcus wants to move triangle PQR in such a way that vertex P moved from the point (-2,5)
to P' (3, -3). Which of the following algebraic representations matches this translation?
A. (x,y) → +5,y + 8)
B. (x,y) → (x - 5,y - 8)
C. (x,y) → (x - 5, y + 8)
D. (x,y) → (x +5,y - 8)
When is the slope intercept form only y= mx and not y = mx+b?
Answer:
No Y-Intercept
Step-by-step explanation:
The only way for a slope to never have B within itself, is when Slope intercept form has no value for B or the Y intercept.
Graph y+9=−3x. please help me
Well, first thing we need to do is put this in slope intercept form of y.
Subtract 9 from both sides to isolate "y".
y= -3x-9
Now we can graph the equation
Graph the point (0,-9) since it is the y-intercept.
To get the x intercept, isolate the "x" variable instead of "y".
y+9 = -3x
(Divide every number on both sides of the equation by -3 to isolate "x".)
y/-3 -3= x
now that this is in slope intercept form of x, plug in 0 for y to get the number for x when y is 0.
0/-3 -3 = x
-3 = x.
Graph (-3, 0). Connect this point to the point (0,-9) and you get have successfully graphed the equation y+9= -3x.
I hope this helped.
(a) The diagram shows a circle, centre 0. AB and CD are chord.
Given that OM = 8 cm, NT = 3 cm, AB = 30 cm.
(1) Calculate the radius
(2) Calculate the length of CD
Answer:
1) Radius = 17 cm
2). CD = 19.3 cm
Step-by-step explanation:
1). O is the center of the given circle.
By joining the center and point A located at the circumference of the circle,
OA = radius of the circle.
Length of chord AB = 30 cm
"Line from the center of a circle to the chord inside the circle is a perpendicular bisector of the chord"
By the given property, OM equally divides the chord AB.
AM = MB
AM = [tex]\frac{1}{2}(AB)[/tex]
AM = [tex]\frac{10}{2}[/tex] = 5 cm
By applying Pythagoras theorem in ΔOAM,
AO² = OM² + AM²
AO² = 8² + 15²
AO = √289
AO = 17 cm
Therefore, radius of the circle = 17 cm
2). Since, OT, OC and OA are the radii of the given circle,
OT = OC = OA = 17 cm
ON = OT - NT
= 17 - 3
= 14 cm
By applying Pythagoras theorem in ΔOCM,
OC² = ON² + CN²
17² = 14² + CN²
CN = [tex]\sqrt{(17^2-14^2)}[/tex]
= [tex]\sqrt{93}[/tex]
= 9.64 cm
Since, CD = 2(CN)
CD = 2 × 9.64
= 19.29 cm
≈ 19.3 cm
Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.
Answer:
Equation of the line that passes through the given point and is (a) parallel is: [tex]\mathbf{y=-2x+11}[/tex]
Equation of the line that passes through the given point and is (b) perpendicular is: [tex]\mathbf{y=\frac{1}{2}x+1}[/tex]
Step-by-step explanation:
We need to Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.
First we will find slope of the line given in graph
The slope can be found using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have points (1,6) and (2,2)
Slope is:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2-6}{2-1}\\Slope=\frac{-4}{2}\\Slope=-2[/tex]
Part a)
Write an equation of the line that passes through the given point and is (a) parallel
When the lines are parallel, they have same slope. So, slope of required line: m = -2
Using slope m =-2 and point(4,3) we can find y-intercept b
[tex]y=mx+b\\3=-2(4)+b\\3=-8+b\\b=3+8\\b=11[/tex]
The equation of line will be:
[tex]y=mx+b\\y=-2x+11[/tex]
Equation of the line that passes through the given point and is (a) parallel is: [tex]\mathbf{y=-2x+11}[/tex]
Part b)
Write an equation of the line that passes through the given point and is (b) perpendicular
When the lines are perpendicular they have opposite slope. So, slope of required line: m = 1/2
Using slope m =1/2 and point(4,3) we can find y-intercept b
[tex]y=mx+b\\3=\frac{1}{2}(4)+b\\3=2+b\\b=3-2\\b=1[/tex]
The equation of line will be:
[tex]y=mx+b\\y=\frac{1}{2}x+1[/tex]
Equation of the line that passes through the given point and is (b) perpendicular is: [tex]\mathbf{y=\frac{1}{2}x+1}[/tex]
Rewrite the function y = 2(x – 4)^2 – 5 in standard form.
Answer:
y=2x2−16x+27
Step-by-step explanation:
Sam and her friends are going on a road trip that is 124.8 miles long they have already driven 112.9. How much farther do they have to drive? 10
The circumference of a circle is 64. What is the radius of the circle?
Pls help i need this question by 8:00am tomorrow
What is the slope of the line with equation y=5x+7 ?
Answer:
the slope is 5
explanation:
goes up 5 and right 1
Eight ounces of Ground beef are needed to make one hamburger. If one package of ground beef contains 12 pounds how many hamburgers can be made
Answer:
1 1/2
Step-by-step explanation:
set up a proportion:
8 = 12
1 x
cross-multiply: 8x = 12
x = 12/8
x = 3/2 (simplified)
Simplify the polynomial using multiplication.
−5b(2a−3a2)
−10a+3ba^2
−10ba+15ba^2
−5b+2a−3a^2
10ba−15ba^2
Answer:
−10ba+15ba^2
Step-by-step explanation:
The product of the given monomial and binomial is -10ab+15a²b.
The given expression is −5b(2a−3a²).
We need to simplify the polynomial using multiplication.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Binomials are also a kind of polynomials consisting of only two terms. A binomial is defined as an algebraic expression consisting of two terms that are separated by the arithmetic signs, either the addition sign (+) or the subtraction sign (-). When multiplying a monomial by a binomial, we follow the distributive law of multiplication.
Now, 2a×(−5b)−3a²×(−5b)
=-10ab+15a²b
Therefore, the product of the given monomial and binomial is -10ab+15a²b.
To learn more about the multiplication of polynomials visit:
https://brainly.com/question/17419800.
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In 2–4, write Yes or No to indicate whether the expressions are equivalent. 2. 10x - 3 + 2x - 5 and 4(3x - 2) 3. 3y + 3 and 9(y + 1/3) 4. 6(3x + 1) and 9x + 6 + 9x
Step-by-step explanation:
2. 10x - 3 + 2x - 5 and 4(3x - 2)
10x - 3 + 2x - 5
Upon simplifying;
10x + 2x - 3 - 5
12x - 8
4(3x - 2)
12x - 8
Both expressions are equivalent - Yes!
3. 3y + 3 and 9(y + 1/3)
9(y + 1/3)
upon simplifying;
9y + 9 (1/3)
9y + 3
3y + 3
Both expressions are not equivalent - No!
4. 6(3x + 1) and 9x + 6 + 9x
6(3x + 1)
upon simplifying;
6(3x) + 6 (1)
18x + 6
9x + 6 + 9x
Upon simplifying;
9x + 9x + 6
18x + 6
Both expressions are equivalent - Yes!
Please help. I need a smart person to help :)
Answer:
quadrant 2!
Step-by-step explanation:
i need two more , i got 1
Answer:
X=12,-4
Step-by-step explanation:
Set them equal to each other to get x^2=8x+48. Then move them both to the other side to get x^2-8x-48. Then factor the expression to get (x-12)(x+4). Set that to 0 to get x=12 and x=-4
Hank bought 3 more boxes of cereal than gallons of milk. He bought x boxes of cereal at $2.79 each. Each gallon of milk costs $4.49. Consider the expression 2.79x + 4.49 (x-3).
A. The term x- 3 represents the number of gallons of milk.
B. The coefficient 2.79 represents the cost of one box of cereal.
C. The expression represents the total number of boxes of cereal and gallons of milk.
Answer: all statements are true.
Step-to-step explanation:
Given: Cost of 1 box of cereal =$2.79
Cost of x boxes of cereal= $2.79 x
Each gallon of milk costs $4.49.
Hank bought 3 more boxes of cereal than gallons of milk.
gallons of milk = x-3
Total cost = (cost per box of cereal) × (x) +(Cost per gallon of milk) × (x-3)
= 2.79x + 4.49 (x-3)
All statements are correct:
A. The term x- 3 represents the number of gallons of milk.
B. The coefficient 2.79 represents the cost of one box of cereal.
C. The expression represents the total number of boxes of cereal and gallons of milk.
what is the value of x and y?
PLEASEEE ANYONEE HELP MEE IM ALMOST DONE
Answer:
Step-by-step explanation:
Are the polygons similar? If they are, write a similarity statement and give the scale factor .
Please somebody help me
Answer:
For the polygons to be similar, both these ratios must be equal which is the required scale factor. So, the given polygons are not similar.
Step-by-step explanation:
Answer:
a. not similar
b. similar, ABCDE ~ SRVUT, scale factor: 2
Step-by-step explanation:
4. What is of 2107what is 2 fifths of 210
Answer:
points I want ... use of this communication
pls help is ending of semester tomorrow
Answer:
18.7
Step-by-step explanation:
5.5 × 6.8 = 37.4 / 2 = 18.7
Answer:
This triangle is an isosceles triangle, so we have the formula: S = (1/2 x a) x h
A = (1/2 x 6.8 ) x5.5 = 18.7 ft²
Step-by-step explanation:
What is the solution to this system of equations? 5x + 2y= 29
x + 4y = 13
A x = 5, y = 3
B. x=2, y=5
C. X= 5, y = 2
D. x= 3, y = 2
Answer:
C
Step-by-step explanation:
Given the 2 equations
5x + 2y = 29 → (1)
x + 4y = 13 → (2)
Multiplying (1) by - 2 and adding to (2) will eliminate the y- term
- 10x - 4y = - 58 → (3)
Add (2) and (3) term by term to eliminate y
- 9x + 0 = - 45
- 9x = - 45 ( divide both sides by - 9 )
x = 5
Substitute x = 5 into either of the 2 equations and solve for y
Substituting into (2)
5 + 4y = 13 ( subtract 5 from both sides )
4y = 8 ( divide both sides by 4 )
y = 2
Solution is x = 5, y = 2 → C
Answer:
c) x = 5, y = 2
Step-by-step explanation:
HELP PLEASE I WILL MARK BRAINLIEST