Hello,
In prime decomposition:
180=2²*3²*5
140=2²*5*7
lcm(180,140)=2²*3²*5*7=1260
Proof: 1260/180=7 and 1260/140=9
Kylie explained that (negative 4 x + 9) squared will result in a difference of squares because (negative 4 x + 9) squared = (negative 4 x) squared + (9) squared = 16 x squared + 81. Which statement best describes Kylie’s explanation?
Kylie is correct.
Kylie correctly understood that it is a difference of squares, but she did not determine the product correctly.
Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.
Kylie determined the product correctly, but she did not understand that this is a perfect square trinomial.
Given:
The given expression is:
[tex](-4x+9)^2[/tex]
According to Kylie,
[tex](-4x+9)^2=(-4x)^2+(9)^2[/tex]
[tex](-4x+9)^2=16x^2+81[/tex]
To find:
The correct statement for Kylie's explanation.
Solution:
We have,
[tex](-4x+9)^2[/tex]
According to the perfect square trinomial [tex](a+b)^2=a^2+2ab+b^2[/tex].
[tex](-4x+9)^2=(-4x)^2+2(-4x)(9)+(9)^2[/tex]
[tex](-4x+9)^2=16x^2-72x+81[/tex]
Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.
Therefore, the correct option is C.
Answer:C, Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.
Step-by-step explanation:
Does anyone know the answer to this question?
Answer:
Step-by-step explanation:
Third graph because when x is greater than two the lines slants up
could i get an explanation on how to do this?
Answer:
EH is 25
Step-by-step explanation:
7+7+11=25
EH is 25
2p -5q=8.. 3p-7q=11 use substitution
Answer:
p = -1 q = -2
Step-by-step explanation:
3p - 7q = 11 -7q = -3p + 11 q = 3/7p - 11/7
2p - 5(3/7p - 11/7) = 8
2p - 15/7p + 55/7 = 8
-1/7p + 55/7 = 8
-1/7p = 1/7
p = -1
2(-1) - 5q = 8
-2 - 5q = 8
-5q = 10
q = -2
Name a pair of vectors that are orthogonal but not perpendicular.
Answer:
For two vectors to be orthogonal it means that their dot product must be equal to zero.
Usually dot product of perpendicular vectors is zero and thus all perpendicular vectors are orthogonal.
On an English test, John scored 50 points on the essay portion. The test also had short-answer questions worth 2.5 points each. Choose an expression for John’s total points if he answered r short-answer questions correctly.
Answer:
2.5x+50
Step-by-step explanation:
If 8x−7y=−8 is a true equation, what would be the value of -8+8x−7y?
Answer:
-16
Step-by-step explanation:
-8 + (-8) = -16
Answer:
-16
Step-by-step explanation:
8x−7y=−8
Subtract 8 from each side
-8 +8x−7y=−8-8
-8+8x−7y=−16
Find the exterior angle.
50°
70°
60
X = [?]
Answer:
110
Step-by-step explanation:
180-70=110
the full line is 180 so subtract the angle, 70.
To make some draperies, an interior decorator needs 12 1/4 yards of material for the den and 8 1/2 yards for the living room. If the material comes only in 21-yard bolts, how much will be left over after completing both sets of draperies?
Answer:
1/4 of a yard of material
Step-by-step explanation:
First, we must convert both 12 1/4 yards and 8 1/2 yards to quarters. Since 1/2 of a yard is equal to 2/4 of a yard, 8 1/2 yards will be equal to 8 2/4 yards. 8 yards + 12 yards = 20 yards, and 2/4 of a yard + 1/4 of a yard = 3/4 of a yard, so you get 20 3/4 of a yard to finish the draperies. To find the leftover material, do 21 yards - 20 3/4 yards = 1/4 of a yard of material. Hope this helps!
Joel Trump is paid one and one-half times the regular hourly rate for all hours worked in excess of 40 hours per week and double time for work on Sunday. Trump's regular rate is $8 per hour. During the week ended October 10, he worked 9 hours each day from Monday through Friday, 6 hours on Saturday, and 4 hours on Sunday. Trump's total earnings for the week ended October 10 are a.$320. b.$430. c.$516. d.$110.
Answer:
C. $516
Step-by-step explanation:
His regular rate is $8 per hour.
Since it's 40 hours a week, it means from Monday to Friday his regular work time is 8 hours per day.
Thus, for the regular week work, he is to be paid;
40 × 8 = $320
Now, we are told he worked 9 hours each day from Monday through Friday.
This means that;
He worked 1 hour each day.
That is 5 hours extra from Monday to Friday.
He is paid one and one-half times the regular hourly rate.
Thus, for this 5 extra hours, he will be paid 1½ × 5 × 8 = $60
He works 6 hours on Saturday, and 4 hours on Sunday.
Thus;
For Saturday, he is also paid one and one-half of regular pay. Thus, he is due for;
1½ × 8 × 6 = $72
He is paid double the regular hourly pay for Sundays.
Thus, for 4 hours on Sunday, he is paid;
2 × 8 × 4 = $64
Total he is due = $320 + $60 + $72 + $64 = $516
solve the simultaneous equation: y=2x²+3x-31 y= x= 21-2x
Answer:
1. x =(3-√257)/4=-3.258
2. x =(3+√257)/4= 4.758
Step-by-step explanation:
irst add
x
to both sides of the second equation to get:
y = x + 3
Then substitute this expression for y into the first equation to get:
29 = x 2 + ( x + 3 ) 2 = 2 x 2 + 6 x + 9
Subtract 29 from both ends to get:
0 = 2 x 2 + 6 x − 20
Divide both sides by 2 to get:
0 = x 2 + 3 x− 10 = ( x+ 5 ) ( x − 2 )
So x = 2 or x = − 5
If x = 2 then y = x + 3 = 5 .
If x = − 5 then y=x + 3 = − 2
So the two solutions
( x, y ) are ( 2 , 5 ) and ( − 5 , − 2 )
what is 9.7 as a fraction ?
Answer:
Step-by-step explanation:
9.7 = [tex]\frac{97}{10}[/tex]
Count the number of places in the decimal number after the decimal point.
Here , there is only one place.
So, multiply and divide by 10. 9.7 *10/1*10 = 97/10
ABC is a triangle. Work out angle x
Answer:
I think it is 52 degrease
Step-by-step explanation:
A bus leaves Riverside for Springfield and averages only 48 mph. Ten minutes later Smith leaves Riverside for Springfield traveling 64 mph in his car. How long before he overtakes the bus?
Answer:
pls give brainliest even if u dont want to. it will make u better person. when u give brainliest it makes u 3 times smarter
Step-by-step explanation:
Smith overtakes the bus at (2/3)×60=40 minutes
What is speed?
A body is said to have speed v if he travels v distance in unit time.
How to solve it?Suppose that Smith overtakes the bus at a time 't'. Then the distance traveled by bus is 48×t m and that by Smith is 64×(t-1/6).
Smith needs t-1/6 hours to reach the same position that the bus is in.
Since Smith leaves ten minutes later hence it takes t-1/6 hours for him to overtake the bus.
Because 10 minutes is equal to 10/60=1/6 hour.
So,
48×t=64×(t-1/6)
⇒t=2/3
Hence, Smith overtakes the bus at (2/3)×60=40 minutes
Learn more about speed and distance here-
brainly.com/question/12759408
#SPJ2
If
R = (5+T)P/3
then what is p?
Answer:
Step-by-step explanation:
R = (5+T)P/3
3R = (5+T)P
3R/ (5+T) = P
[tex]P = \frac{3R}{(5+T) }[/tex]
Given the following geometric sequence, Find the common ratio (3, 18,108)
Answer:
6
Step-by-step explanation:
3*6=18
18*6=108
solve |6x+3| = 27 .....
Answer:
Step-by-step explanation:
The absolute value of a number is defined as the positive of either a positive or a negative number. By that I mean that
| 1 | = 1 and | -1 | = 1. Right?
We use that idea here. Either:
6x + 3 = 27 OR 6x + 3 = -27 and solve both equations.
6x = 24 so x = 4 OR
6x = -30 so x = -5
Choice D is the one you want.
A certain medical test is known to detect 59% of the people who are afflicted with the disease Y. If 10 people with the disease are administered the test, what is the probability that the test will show that:
Answer:
[tex]P(x = 3) = 0.048[/tex]
Step-by-step explanation:
Given
[tex]n = 10[/tex]
[tex]p=59\% = 0.59[/tex]
Required
[tex]P(x = 3)[/tex] --- probability that 3 are afflicted
This question illustrates binomial probability and it is calcuated using:
[tex]P(x) = ^nC_x * p^x * (1 - p)^{n-x}[/tex]
So, we have:
[tex]P(x = 3) = ^{10}C_3 * 0.59^3 * (1 - 0.59)^{10-3}[/tex]
[tex]P(x = 3) = ^{10}C_3 * 0.59^3 * 0.41^7[/tex]
[tex]P(x = 3) = 120 * 0.59^3 * 0.41^7[/tex]
[tex]P(x = 3) = 0.048[/tex]
CAN SOMEONE PLEASE HELP ME!!!
dammn im not sure sorry
Answer:
Step-by-step explanation:
D OR F means add the two grade members together. You get 5
5 / 35 = 1/7
P(1/7) = 0.1428 Rounded to the nearest 1/100th = 0.14
This is the last question for the 12 point
9514 1404 393
Answer:
WR ≅ WX
Step-by-step explanation:
To use the SAS postulate, you need congruent sides bounding a congruent angle.
Here, side WP is one side of one of the vertical angles, ∠PWR, so you need the other side of that angle: WR. The corresponding side in triangle VWX is WX. That is, for SAS, you need WR ≅ WX.
I need help,plss:(
Describe the graph of the function.
[tex]y = \sqrt{ x - 1 + 4} [/tex]
a). the graph is the radical function y=sqrt(x) shifted right 1 units and down 4 units.
b). the graph is the radical function y=sqrt(×) shifted left 4 units and up 1 units.
c). the graph is the radical function y=sqrt(x) shifted right 1 units and up 4 units.
d). the graph is the radical function y=sqrt(×) shifted left 1 units and up 4 units.
Answer:
C
Step-by-step explanation:
[tex]y=\sqrt{x-1} +4[/tex]
graph is shifted right 1 unit and 4 units up.
Find the solution to the system of equations x - y = 3 and x + y = 9.
(6,3). (6,-3)
(-6,3)
(-6, -3)
What Is the factored form of the polynomial
x^2-12x+27
Step-by-step explanation:
The Answer is (x-9) (x-3) Factor 12 and 27 out.
Answer:
[tex]x^{2} -12x+27=[/tex]
[tex](x-3)and\:(x-9)[/tex]
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hope it helps...
have a great day!!
A body is projected from aa point such that the horizontal and vertical components of its velocity are [tex]640ms^-^1[/tex] and [tex]480 ms^-^1[/tex] respectively . (Take g = [tex]10ms^-^1[/tex] )
i. Calculate the greatest height attained above the point of projection
A.600m B.1215 m C.1521 m D. 11520m E. 20480m
D. 11520m
Answer:
Solution given:
initial velocity[u]=480m/s
g=10m/s²
maximum height=?
now
we have
maximum height=[tex]\frac{u²sin²\theta}{2g}[/tex]
where
[tex]\theta=90°[/tex]
=[tex]\frac{480²*sin90}{2*10}=11520m[/tex]
PLEASE HELP ASAP! Worth 15 points!!
Which graph represents a function with direct variation?
Answer:
The bottom right photo
Step-by-step explanation:
A direct variation is an equation in the form y = kx, where k is the constant of variation. Since it is in this form, the equation will pass through the origin (0, 0)
A pair of linear equations is shown
y=-3x5
y=x+2
Which of the following statements best explains the steps to solve the pair of equations graphically?
on a graph, find the point of intersection stwo lines; the first line has y-intercept - 5 and slope - -3, and the second line has y-intercept = 2 and slope - 1.
On a graph, find the point of intersection of two lines, the first line has y-intercept -3 and slope - 5, and the second line has y-intercept - 1 and slope - 2.
On a graph, find the point of intersection of two lines, the first line has y-intercept -- and slope - 3, and the second line has y-intercept = -2 and slope --1
On a graph, find the point of intersection of two lines; the first line has y-intercept = 3 and slope -5, and the second line has y-intercept -1 and slope --2.
Answer:
y=-3×5
so'n
y=-15ans
another has no number only one number 2 alphabets
Express each of the following quadratic functions in the form of f(x) = a (x - h)²+ k.Then,state the minimum or maximum value,axis of symmetry and minimum or maximum point. (a) f(x) = -2x² + 7x + 4.
Pls help me ans this question,its urgent!!
I'll mark u as the brainliest!
ok this is answer any questions
When solving algebraic expressions involving fractions with different denominators, you just have to determine the LCM and multiply it across each term
Answer:
b
Step-by-step explanation:
Please help! will mark right answer with Brianly
Answer:
a. [tex]\frac{4\pi }{3}[/tex]
b. 240
Step-by-step explanation:
all you have to do to find a coterminal angle is to add or subtract 360 or [tex]2\pi[/tex] from the angle, so:
a. [tex]\frac{10\pi }{3} -2\pi =\frac{4\pi }{3}[/tex]
b. -120 + 360 = 240
Find each measure
Please help me
Answer:
11. 90
12. 90
13. 90
14. 90
15. 180
16. 135
17. 225
18. 270
Step-by-step explanation:
Answer:
BC=90
AC=90
AE=90
EB=90
ACB=180
AD=135
CBF=225
ADC=270
Step-by-step explanation:
for numbers 11-14 they're all linear pairs which means they're each 90 degrees
and as long as O is the center point, all the arcs are the same value as the degree.
for numbers 16-17 you can assume that line FO and DO bisects the right angles which makes them 45 degrees
and for 18, you just multiply 3 and 90 degrees