Answer:
[tex](x + 2)(5x + 2)[/tex]
Step-by-step explanation:
What we would normally do when factoring a polynomial is find the greatest factor, but in this case, there is none. What we do then is multiply the coefficient of the first term by the last term.
So in this case, that expression would be...
[tex]5 * 4 = 20[/tex]
Then, we have to find two factors of 20 that, when added together, equal the second term's coefficient (12).
These factors would be 2 and 10.
[tex]2 * 10 = 20\\\\2 + 10 = 12[/tex]
We then replace the second term in the polynomial with [tex]10x + 2x[/tex]. This ends up looking like this:
[tex]5x^2 +10x + 2x +4[/tex]
Keep in mind that this did not change the value of the polynomial, as 10x + 2x still equals 12x.
This new expression lets us use a technique called group factoring. To start group factoring, we need to take out the greatest common factor (GCF) of the first two terms. That ends up looking like this:
[tex]5x(x + 2)[/tex]
Then, we do the same thing with the last two terms.
[tex]2(x + 2)[/tex]
We know we're on the right track at this point, because the expressions inside the parenthesis in both GCFs are the same.
The last step is combining the terms on the outside of the parenthesis, and multiplying it with what's inside the parenthesis. The final answer looks like this.
[tex](x + 2)(5x + 2)[/tex]
State whether or not the following triangles are similar. If not, explain why not. If so, write a similarity statement
9514 1404 393
Answer:
a) ∆RLG ~ ∆NCP; SF: 3/2 (smaller to larger)
b) no; different angles
Step-by-step explanation:
a) The triangles will be similar if their angles are congruent. The scale factor will be the ratio of any side to its corresponding side.
The third angle in ∆RLG is 180° -79° -67° = 34°. So, the two angles 34° and 67° in ∆RLG match the corresponding angles in ∆NCP. The triangles are similar by the AA postulate.
Working clockwise around each figure, the sequence of angles from lower left is 34°, 79°, 67°. So, we can write the similarity statement by naming the vertices in the same order: ∆RLG ~ ∆NCP.
The scale factor relating the second triangle to the first is ...
NC/RL = 45/30 = 3/2
__
b) In order for the angles of one triangle to be congruent to the angles of the other triangle, at least one member of a list of two of the angles must match for the two triangles. Neither of the numbers 57°, 85° match either of the numbers 38°, 54°, so we know the two triangles have different angle measures. They cannot be similar.
What is the value of x in the equation 4(2x + 10) = 0?
-5
-7
5
7
Answer:
Step-by-step explanation:
4(2x+10)=0
8x+40=0
-40 -40
8x=-40
x=-5
Answer:
-5
Step-by-step explanation:
First you have to distribute 4 to 2x and 10, giving us 8x + 40 = 0. Then subtract 40 from both sides, giving us 8x = -40. Now divide -40 by 8, which gives us -5.
If Thomas maintains a rate of 20 miles per hour riding his bicycle in a rally that covers 24 miles, how long will it take him to complete the race?
O 2 hours
O 1.2 hours
O 0.8 hours
O 2.4 hours
Answer:
1h=20m
60/4
0,25min+1h
1+0,25
=1,2
He will complete the race in 1.2 hours time.
Hence, option B is correct.
What is Measurement unit?A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
Given that,
The distance completing in 1 hour = 20 miles
So 1 miles of distance is covered in = 1/20 hours
It is also given that,
The distance of rally = 24 miles.
Therefore,
The time taken to cover 24 miles = 24/20
= 1.2
Thus,
The required time = 1.2 hours
to learn more about the measurement unit visit:
https://brainly.com/question/777464
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Someone please help really need it.
Write an equation of the line parallel to y = 5x + 7 that passes through the point (-3,2)
Answer:
y=5x-13
Step-by-step explanation:
2,000(1 + 1)^5
Can you answer my question please
Answer:
2,000(1 + 1)⁵ = 64000, or in alternate form, 40³
From Monday through Friday, works in the on and in the on another . On Saturday and Sunday, 50% of the days. How many days does work in a week? What percent of Monday through Friday does work?
Complete question :
From Monday through Friday, James works in the library on 2 days and in the cafeteria on another day. On Saturday and Sunday, James washes cars 50% of the days. How many days does James work in a week? What percent of the days from Monday through Friday does he work?
Answer:
4 days ;
60%
Step-by-step explanation:
From Monday to Friday
Number of days in library = 2
Number of days in cafeteria = 1
50% of days in weekends
Number of weekend days = 2
50% of 2 = 0.5 * 2 = 1 day
Total. Number of days worked = (2 +1 + 1) = 4 days
What percent of the days from Monday through Friday does he work?
Number of days workwd from. Monday to Friday = 3
Total number of days from Monday to Friday = 5
Percentage of days worked from Monday to Friday
= number of days worked / total number of days
= 3 /5 * 100%
= 0.6 * 100%
= 60%
The school playing field is 300 meters. Our coach wants us to run three kilometers, how many times will we need to run around the field.
Answer:
10 times
Step-by-step explanation:
1km=1000m
3*1000=3000m
3000/300=10
you will need to run 10 times around the field
A decagon.
Gregory drew this regular decagon. All angles have the same measure.
What is the sum of the interior angle measures?
°
What is the measure of each angle?
°
Answer:
78
Step-by-step explanation:
Answer:
1440 and 144 on edg 2020-2021
Step-by-step explanation:
can someone help me AND explain how they got the answer?
Answer:
g=4
Step-by-step explanation:
this is a 30 60 90 triangle. the hypotenuse is 2x while the shortest side is x. if 8=2x then x must be 4.
what is the price of a $600 bike 15% off
Answer: You will pay $510 for a item with original price of $600 when discounted 15%.
Pablo saves $85 per month for 6 months. Then he deposits the money in an account that earns 2.1% simple interest. How much interest will he earn over 4 years? (no links just answers)
Answer:
$42.84
Step-by-step explanation:
P = 85 * 6 = 510
Formula:
I = Prt
Given:
P = 510
r = 2.1% or 0.021
t = 4
Work:
I = Prt
I = 510(0.021)(4)
I = 42.84
Someone please help me outttttttttttt
Answer:
the answer should be
[tex]12 \sqrt{2} [/tex]
Step-by-step explanation:
the shorter leg of a right triangle (in this case it would be BC) is always half the value of the longest side, AB. So if AB is 24\/2, half of that should be 12\/2. So, since BC =X, then X=12\/2.
hope this made sense
Find the missing length.
= ✓ [?]
C =
с
6
Pythagorean Theorem: a2 + b2 = c2
Enter
Answer:
Pythagoras theorem= 6 squared +11 squared
= 36 + 121
= 157
Step-by-step explanation:
9y8tyfstoylhlh
NO LINKS PLEASE JUST THE ANSWER TEHEHHE THANKSSSS :))))
A square and rectangle are shown below. The width of the rectangle is the same as the length of a side of the square, both represented by x. The length of the rectangle is one foot more than twice its width. The perimeter of the rectangle is 26 feet more than that of the square.
A). Write an expression for the length of the rectangle in terms of x. Label the drawing
B). Show that 5 could not be the value of x
C). Set up an equation and solve it to find the value of x
THANKS FOR THE HELP!!!
Answer:
Since this is a multi-part question, just look at the bolded parts under each letter. I hope this helps a bit ;)
Step-by-step explanation:
A)
All sides of a square are congruent. "s" represents the square's perimeter:
s=4x.
"r" is the rectangle's perimeter:
r= 4x+26
since the perimeter = 2W + 2L:
2W + 2L= 4x+ 26
and W=x, so:
2x + 2L= 4x + 26
Subtract from both sides:
2L= 2x +26
Divide both sides:
the length of the rectangle "L"= x +13.
B) Plug 5 into the equations:
L= 5+ 13 or 18.
2(18) + 2(5)= r
36+ 10 = r or 46
s= s+ 26
s= 46-26 or 20.
20/4= 5...
It seems (at least to me, feel free to give constructive criticism) that the only logical conclusion is that 5 could be the value of x.
C) You would likely need to use substitution to solve, but unless I am much mistaken, this looks like an infinite-solutions equation.
L=w+13
someone please help!
Answer:
12 units
Step-by-step explanation:
1st, I found the distance for the two parallel sides on the hexagon. I counted the lines to be 2 units each, which makes 4 units. And since all sides of a hexagon are equal. All the sides make 12 units, or centimeters. Therefore, the perimeter is 12 units
Find the area of the square. Round to one decimal place.
Answer:
309.8 mm
Step-by-step explanation:
17.6 x 17.6= 309.76
309.76 rounded is 309.8
Answer:
309.8
Step-by-step explanation:
The formula for area of square is one of its sides times another (or its side squared).
So if one of the side is 17.6, it would be 17.6^2 which is 309.76.
You then round one decimal place and get 309.8
Have a good day
find the mean of the day 10.25‚9‚4.75‚8‚2.65‚12‚2.35
Answer:
7!
Step-by-step explanation:
If you add all of those numbers together it would be 49!
Then you divide that number how many numbers there are.
There are 7 numbers and 49/7 =7!
y=(2.5)^x graph and match function
Answer:
Step-by-step explanation:
Which value of x satisfies the equation below? 1/2 (3x + 17) = 1/6 (8x-10)
Choice answers:
A. -61
B -55
C. -41
D-35
plz just give the eqution.
Answer:
16 = 3x
Step-by-step explanation:
It is an equilateral triangle. The formula for the perimeter of an equilateral triangle is P = 3a.
3X IS ANSWER AND IT IS SIMPLE BECAUSE P= 3X
give the slope of the line with equation 17x = -34; then graph the line
Factor as the product of two binomials.
x^2-3x+2=
Answer: (x - 2) (x - 1）
Step-by-step explanation:
x²-3x+2
= (x - 2) (x - 1）
What is the slope of the line passing through the points (-9,-3) and (7,-7)
Answer:
The slope is [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
[tex]\frac{Y_{2} -Y_{1} }{X_{2}-X_{1} }[/tex]
-7-(-3)= -7+3= 4
4/?
7-(-9)= 7+9 = 16
4/16=1/4
I hope this helps :-)
Drew needs to air up his teams 8 soccer balls. Each ball has a diameter of 70cm. In terms of pi, what is the total volume of air in all 8 soccer balls?
Answer:
1.44m^3
Step-by-step explanation:
Given data
Number of balls= 8
Diameter of ball = 70cm = 0.7m
Radius= 35cm= 0.35m
We know that a ball has a spherical shape
The volume of a sphere is
V= 4/3πr^3
substitute
V= 4/3*3.142*0.35^3
V= 0.18m^3
Hence if 1 ball has a volume of 0.18m^3
Then 8 balls will have a volume of
=0.18*8
=1.44m^3
Two numbers are randomly selected from the following set without replacement.
{3, 16, 2, 11, 15, 6, 14, 7, 10, 1}
a. What is the probability that they are both even?
b. What is the probability that they are both prime? Note: 1 is not prime.
c. What is the probability of the sum of the two numbers being even?
d. What is the probability of the product of the two numbers being odd?
The last two problems are based on a single draw from the set.
e What is the probability that a prime number was drawn from the set, given that it
is an odd number.
f. What is the probabilityselected from the set. that a prime number was drawn from
the set, given that it is an even number.
Answer:
I dot know good luck
Step-by-step explanation:
Can someone help me? Ill give brainliest :)
Fill in the blank.
Help me please!!!!!!
Somebody please help me out. How do I find the surface area of a rectangular prism?
Answer:
A=2(wl+hl+hw)
Step-by-step explanation:
Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
Answer:
Option (C) 198 cm² will be the answer.
Step-by-step explanation:
Surface area of rectangular prism=2(lb+bh+lh)
where l=length, b=breadth and h=height.
Here, the length is 9cm, breadth is 6cm and height is 3cm.
By applying the formula,
2{(9*6)+(6*3)+(9*3)}
2{54+18+27}
2*99
198cm²
Plz help no links I will give brainiest to whoever helps
Answer:
110.92
Step-by-step explanation:
Assuming that the parameters (P), (h), and (B) all represent dimensions of the given prism, then based on the given information, the following can be concluded:
P = 6.6
h = 4.5
B = 2.2
The surface area is the two-dimensional area around a three-dimensional surface. In other words, if one was going to wrap the figure, the surface area is the amount of paper one would need. One can find the surface area by finding the area of each individual side and then adding all the results together. To find the area of a 2-dimensional figure by multiplying the length by the width.
(4.5) * (6.8) = 30.6
(4.5) * (6.8) = 30.6
(2.2) * (6.8) = 14.96
(2.2) * (6.8) = 14.96
(4.5) * (2.2) = 9.9
(4.5) * (2.2) = 9.9
Now add up all of the values,
30.6 + 30.6 + 14.96 + 14.96 + 9.9 + 9.9
= 110.92
If f(x) = 3x^0 - 2x^-1 +4 then f(2)=
Answer:
try this link
Step-by-step explanation:
https://www3.nd.edu › WorkPDF
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MATH 10550, EXAM 1 SOLUTIONS 1. If f(2) = 5, f(3) = 2, f(4) = 5, g(2 ...