what is the missing term in the factorization?
18m^2-200 2(3m-10)(3m+?)
A). -100
B). -10
C). -3
D). 3
E). 10
Answer:
2 ( 3m -10) (3m+10)
Step-by-step explanation:
18m^2-200
Factor out 2
2 ( 9m^2 -100)
We recognize that this is the difference of squares ( a^2 -b^2) = (a-b)(a+b)
2 ( ( 3m)^2 - 10^2)
2 ( 3m -10) (3m+10)
Please explain how you answered it along with your answer - thanks
Answer:
B
Step-by-step explanation:
Because you have to separate the equation. So you get [tex]\frac{2x-4}{3}[/tex]>[tex]\frac{1}{5}[/tex] And [tex]\frac{2x-4}{3}[/tex]<6
Then you have to solve for x so you get x>[tex]\frac{23}{10}[/tex] and x>11
Then you find the intersection so the answer is B
Solve the proportion:
Answer:
15
Step-by-step explanation:
Answer:
x = 15
Step-by-step explanation:
cross multiply
9*10=90
90/6=15
whats -33 + -20 , show how you can describe it.”
Step-by-step explanation:
-33 + -20 is -53. and I don't how
all quadrilaterals are polygons true or false
Answer:
True
Step-by-step explanation: because they have 4 sides
All quadrilaterals are polygons because they are 2-dimensional closed shapes made up of interconnected straight lines, with four sides and angles.
Hence the given statement is true.
Sincw we know that,
A polygon is defined as a 2-dimensional closed shape made up of straight lines that are interconnected with each other at their endpoints. A Quadrilateral is a polyhedron that consists of four straight sides or edges.
The term quadrilateral is derived from two Latin words "quadri" meaning four and "latus" meaning sides.
It is important to note that not all polygons are quadrilaterals, but all quadrilaterals are indeed polygons.
Some examples of quadrilaterals include squares, rectangles, parallelograms, trapezoids, and rhombuses.
These shapes share certain properties such as having four sides and angles, with the sum of their interior angles adding up to 360 degrees.
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The shoes were $175. They are now 10% off. How much are they now?
Sale Price = $157.5 (answer). This means the cost of the item to you is $157.5. You will pay $157.5 for a item with original price of $175 when discounted 10%. In this example, if you buy an item at $175 with 10% discount, you will pay 175 - 17.5 = 157.50 dollars.
Hope this helps!
The world record for scuba diving is 318 meters below sea level. How would this look written as an integer?
A. 318 meters
B. -318 meters
C. 0 meters
D. +318 meters
Step-by-step explanation:
I believe it will be B. -318 meters
not entirely sure but that's what I think so hope this help and sorry if I'm wrong
What is the value of the equation -2/3x + 9 = 4/3 x -3?
Answer:
x = 6
Step-by-step explanation:
[tex]\frac{-2}{3}x+9=\frac{4}{3}x-3\\\\\frac{-2}{3}x-\frac{4}{3}=-3-9\\\\\frac{-2-4}{3}x= - 12\\\\\frac{-6}{3}x = -12\\\\ -2x -12\\\\x = \frac{-12}{-2}\\\\x = 6[/tex]
Help is...appreciated.
Answer:
53%
Step-by-step explanation:
Orange
A package of 15 party hats
costs $9.75. At this rate, what is the
cost of each party hat
in dollars and cents?
divide 9.75 by 15 equals sixty ixty five cent's
What’s the domain and range of a horizontal line?
What’s the domain and range of a vertical line?
The horizontal line has infinite domains but a range that has only one value.
The vertical line has a domain is the -intercept, and its range is "all real numbers."
Given that,
The horizontal and vertical lines.
Since we know that,
Linear functions always have infinite domains and ranges.
The exception is when the graph is a horizontal line.
This happens for functions that equal a constant such as f(x) = a. These functions have infinite domains but a range that has only one value, a.
And, A vertical line that is the -axis has an infinite number of -intercepts. A vertical line is not a function;
Hence its domain is the -intercept, and its range is "all real numbers."
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Last month karmin made $480 working for 30 hours this month she will get a 15% increase in the amount she earns per hour what will be her hourly rate In dollars after the increase
Answer:
$18.40
Step-by-step explanation:
480/30= 16
$16 is the amount earned per hour
16×.15= 2.40
$2.40 is 15% increase in the amount she earns per hour
16+2.40=18.40
$18.40 is hourly rate in dollars after the increase
URGENT LOTS OF POINTS
Answer:
+2
Step-by-step explanation:
Answer:
its +2
Step-by-step explanation:
PLZ THANK FIVE STARE AND GIVE BRAINLIEST.
The diagram shows a triangle.
3w
6w
36°
What is the value of w?
Answer:
w =4................?????.
Drake is buying a new video game that costs $50 . If the sale tax rate is. 7.5% how much will frame pay in tax?
Answer:
he will pay 3.75 in tax
Step-by-step explanation:
first you do 50 times 0.075(which is 7.5%) to get your answer of 3.75
Find the slope of the line that passes through (3, 8) and( 2,10)
Answer:
slope is -2
Step-by-step explanation:
10-8=2
2-3=-1
2/-1
-2
PLEASE HELP ME I NEED THE ANSWER ASAP THANK YOU SO MUCH!!
dark blue is the answer
If triangle JKL~ Triangle MKN, find the value of x
Answer:
x = 14
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{KL}{KN}[/tex] = [tex]\frac{JL}{MN}[/tex] , substitute values
[tex]\frac{32}{12}[/tex] = [tex]\frac{3x-2}{x+1}[/tex] ( cross- multiply )
12(3x - 2) = 32(x + 1) ← distribute both sides
36x - 24 = 32x + 32 ( subtract 32x from both sides )
4x - 24 = 32 ( add 24 to both sides )
4x = 56 ( divide both sides by 4 )
x = 14
For the given triangles ΔJKL ≈ ΔMKN, the value of x is, 4
What is similarity of triangles?Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Triangle resemblance is shown here by the symbol "≈"
Given that,
One right angle triangle, ΔJKL
one segment MN which is intersecting sides KJ & KL
ΔJKL has one similar triangle inside, which is ΔMKN
Triangle ΔJKL and ΔMKN are similar,
So, we can say ΔJKL ≈ ΔMKN
And it is known that
for similar triangles, ratio of lengths of sides are equal for similar triangles
so, KN/MN = KL/JL
⇒ (X + 1)/12 = (3X -2)/32
⇒ 32X + 32 = 36X - 24
⇒ 32 + 24 = 36X - 32X
⇒ 56 = 14X
⇒ X = 4
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Tom received an allowance of $300 for his upcoming trip to Canada. He knows that he will spend $15 each day on food. Which equation represents the amount of extra spending money, m, that Tom will have after d days on his trip?
Answer:
m=15d-300
Step-by-step explanation:
Answer:
300-15d = m
Step-by-step explanation:
Since he spends 15 each day, we dont know how many days, so we put 15d to represent $15 spent each day (d)
We use this formula above ^ and subtract that from 300, which is why it's
300 - 15d
Lastly, we need to find money remaining, so 300 - 15d = m
Order the Numbers from least to greatest
8.1 x 10-5
6.5 x 10-4
5.2 x 10-3
What is the length of AE
Make a reasonable estimate for the situation. A snail moves at a speed of 3.395 inches per minute. If the snail keeps moving at this rate, about how many inches will it travel in 6.187 minutes?
Answer:
Distance = 21.0049 inches
Step-by-step explanation:
Given the following data;
Speed = 3.395 inches per minute.
Time = 6.187 minutes
To find the distance;
Distance = speed * time
Substituting into the equation, we have;
Distance = 3.395 * 6.187
Distance = 21.0049
which expression represents 87 less than the product of 12 and 15
Answer:
I think answer is 87<180 or maybe 87<12*15
Find the slope of this line. *
(5 puntos)
-1
1
3
5
y
-2
0
2
4
Answer:
1
Step-by-step explanation:
Slope = y2 - y1 / x2 - x1 so, (0 - (-2)) / (1 - (-1)) == 2/2 = 1
the bottom sides of two similar triangles are_______ sides
Answer: Proportional
Step-by-step explanation: When to corresponding sides of different triangles are alike, they are considered to be proportional.
Heather is trying to decrease the amount of toys that Oliver has originally he had 55 toys in his room and now he only has 30 by what percentage did heather decrease the amount of toys
Answer:
25%
Step-by-step explanation:
What is the image of the point (1,8)(1,8) after a rotation of 180 counterclockwise about the origin?
Answer:
(- 1, - 8 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 180°
a point (x, y ) → (- x, - y ) , thus
(1, 8 ) → (- 1, - 8 )
what is the (gcf) of 18 and 72?
Answer:
18
Step-by-step explanation:
The GCF is also known as the greatest common factor. Every number can be written as the product of at least 2 numbers, and almost every number has at least one factor that is a prime number (or a number that is only divisible by 1 and itself).
Let's find the prime factorization of 18 and 72; in other words, let's find what prime numbers make these numbers up.
18 = 2 * 9 = 2 * 3 * 3 ⇒ notice that while 9 isn't a prime number, 2 and 3 are
72 = 2 * 36 = 2 * 2 * 18 = 2 * 2 * 2 * 3 * 3 ⇒ again, 2 and 3 are primes
In finding the GCF, we want to find the largest value of the prime numbers that the two numbers share.
Here, we see that both 18 and 72 have at least one factor of 2 and at least two factors of 3. So, that's the greatest common factor: 2 * 3 * 3 = 18.
Graph the line with the equation y = -5x + 2.
This will generate a line quickly dropping from left to right, with an x-intercept of 0.4 and a y-intercept of 2.
See the attached image for the actual graph.
Find the solutions of the quadratic equation 3x2 + 9x + 17 = 0.
Answer: C
Step-by-step explanation: Just did khan academy