Answer:
1) D. [tex]6\sqrt{120}[/tex], 2) C. [tex]2\sqrt{56}q^{2}[/tex], 3) C. [tex]\frac{4\sqrt{11}}{11}[/tex]
Step-by-step explanation:
1) We proceed to simplify the expression given in statement:
(i) [tex]2\sqrt{10}\cdot 3\sqrt{12}[/tex] Given
(ii) [tex](3\cdot 2)\cdot (\sqrt{10}\cdot \sqrt{12})[/tex] Commutative and associative properties
(iii) [tex](3\cdot 2)\cdot (10^{0.5}\cdot 12^{0.5})[/tex] Definition of square root.
(iv) [tex]6\cdot (10\cdot 12)^{0.5}[/tex] Definition of multiplication/[tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]
(v) [tex]6\sqrt{120}[/tex] Definition of multiplication/Definition of square root/Result
Answer: D
2) We proceed to simplify the expression given in statement:
(i) [tex]\sqrt{14}q \cdot 2\sqrt{4}q[/tex] Given
(ii) [tex]2\cdot (\sqrt{14}\cdot \sqrt{4})\cdot (q\cdot q)[/tex] Commutative and associative properties
(iii) [tex]2\cdot (14^{0.5}\cdot 4^{0.5})\cdot q^{2}[/tex] Definition of square root/Definition of power.
(iv) [tex]2\cdot (14\cdot 4)^{0.5}\cdot q^{2}[/tex] [tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]
(v) [tex]2\sqrt{56}q^{2}[/tex] Definition of multiplication/Definition of square root/Result
Answer: C
3) We proceed to simplify the expression given in statement:
(i) [tex]\frac{4}{\sqrt{11}}[/tex] Given
(ii) [tex]\frac{4}{\sqrt{11}}\cdot \frac{\sqrt{11}}{\sqrt{11}}[/tex] Modulative property/Existence of multiplicative inverse.
(iii) [tex]\frac{4\sqrt{11}}{\sqrt{11}\cdot \sqrt{11}}[/tex] [tex]\frac{a}{b}\times \frac{c}{d} = \frac{a\cdot c}{b\cdot d}[/tex]
(iv) [tex]\frac{4\sqrt{11}}{11^{0.5}\cdot 11^{0.5}}[/tex] Definition of square root.
(v) [tex]\frac{4\sqrt{11}}{11}[/tex] [tex]a^m\cdot a^{n} = a^{m+n}[/tex]/Result
Answer: C
4x + 3y = 36
how do i solve this?
in general form
PLZ PLZ PLZ PLZ HELP
Answer: -1/8 OR -0.125, -2^-3
Step-by-step explanation:
Please answer correct its not 9 units
What is the probability that a number selected at random from interfere 3 to 30 inclusive is a multiple of 3
Answer:
5/14 is the probablity
byeeeeeeeeeeee
90% of a number is 180 ?
Answer: 200
Step-by-step explanation:
The first figure is dilated to form the second figure.
Which statement is true?
The scale factor is 0.4.
The scale factor is 0.9.
The scale factor is 2.1.
The scale factor is 2.5.
Answer:
The scale factor is 2.5
Step-by-step explanation:
took k-12 test
When a shape is dilated, the size of the shape changes
The true statement is (d) The scale factor is 2.5.
What is dilation?Dilation involves changing the size of a shape or figure
How to determine the scale factorIn figure A, we have:
Length = 0.6
In figure B, we have:
Length =1.5
The scale factor is then calculated as:
[tex]k = \frac{1.5}{0.6}[/tex]
Divide
[tex]k = 2.5[/tex]
Hence, the true statement is (d) The scale factor is 2.5.
Read more about dilation at:
https://brainly.com/question/3457976
Guys help ! I think my maths off T^T
But anyways Can you use the quadratic formula to solve the equation.
5x²+16x-4=0
Please help me ...qwq
Answer:
-0.233
Step-by-step explanation:
x =(16-√336)/10=(8-2√ 21 )/5= -0.233
hope this helps (:
I know this is SUPER late but kinda want to see if your still here .. hope so
so the answer is:
x = -8/5 + 2/5 [tex]\sqrt{21\\}[/tex]
or
x = -8/5 + -2/5 [tex]\sqrt{21}[/tex]
Always happy to help love ^u^ take care
Find the slope of the line that passes through (3, 11) and (10,8).
Answer:
-3/7
Step-by-step explanation:
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]=\frac{8-11}{10-3}\\\\=\frac{-3}{7}\\[/tex]
Factor the expression completely by first taking out a common factor
3x^2 + 27x +24
961 : 31
Your answer
Answer:
??????????????????????????????? what
Step-by-step explanation:
What decimal is equivalent to 10/3?????
Answer:
That would be 3.0
Step-by-step explanation:
Hope this helps!
Have a nice day :)
Answer:
3.3333...
Step-by-step explanation:
Hope this helps :)
Complete the statement. Round to the nearest hundredth if necessary.
14 m ≈
ft
a 10-kg object traveling at 6 m/s collides head on with a 2-kg object at rest. What is the total momentum of the system after the collision?
Answer:
M1V1i+M2V2i=(M1 + M2)vf
(10)(6)+(2)(0)=(10+2)vf
60=12vf
60÷12 =12vf÷12
5=vf
::Vf=5ms-1 to the right
Combine the like terms to create an equivalent expression:
-k+3k
Answer:
=ykvnn
Step-by-step explanation:
Answer: 2k
Step-by-step explanation:
Like terms are terms that have the same variables and powers.
k is the same variable so you would take away k (or 1k we just don’t write 1k in algebra) from 3k=2k
The table shows the results of a survey of students at Ousley Jr. High School about their plans for spring break. If there are 650 students at Ousley Jr. High School, predict how many more will stay home rather than go to the beach.
A. 143 students
B. 325 students
C. 195 students
D. 338 students
The answer is A
Step-by-step explanation:
PLZZZZ HELPPP MEEEE
Answer:
4
Step-by-step explanation:
A square pyramid has 5 sides
so subtracting one side is 4 sides
Also she only has to get 4 no matter what, unless she wants the bottom with shingles too
Given the point and its image, determine the scale factor. B(2,5) B'(1,2.5) 0 -1/2 02 0-2 O 1/2
Given:
The point is B(2,5) and its image is B'(1,2.5).
To find:
The scale factor.
Solution:
If a figure is dilated by the scale factor k and (0,0) is the center of then the scale factor is defined as
[tex]k=\dfrac{\text{x-coordinate of the point on image}}{\text{x-coordinate of the corresponding point on the original figure}}[/tex]
x-coordinate of point B' is 1 and the x-coordinate of point B is 2. So, the scale factor is
[tex]k=\dfrac{1}{2}[/tex]
Therefore, the scale factor is [tex]\dfrac{1}{2}[/tex] and the correct option is D.
In ADEF, the measure of ZF=90°, EF = 2.3 feet, and FD = 2.9 feet. Find the measure
of ZD to the nearest tenth of a degree.
Answer:38.4
Step-by-step explanation:
x (5x+10) - 2 (5x+10) = 0
Answer:
x(5x+10)-2(5x+10)=0
x(5x+10)=2(5x+10)
x=2
PLS SOMEONE HELP ME I WILL APPRECIATE IT SO MUCH
I'm not exactly sure, but try looking it up, they usually have answer keys in the deep web. you just have to look it up exactly as it says
x2 + 13x + 36
x2 – 7x + 10
Answer:1.1 Factoring x2 - 13x - 36
Step-by-step explanation:
26x + 13y = 39
.
Rearrange this equation so it is in the form y = mx + b
After you have rearranged the equation, identify the slope and the y-intercept.
If x = 6, what should y =? Show all necessary work and steps. Round any decimals to
1 place as necessary.
If y = -1, what should x =? Show all necessary work and steps. Round any decimals
to 1 place as necessary.
Answer:
Rearrange: y=-2x+3
if x=6 then y = -9
if y=-1 then x = 2
Step-by-step explanation:
Algebra
to rearrange here are the steps
26x+13y=39
First move x to other side by subtraction
13y= -26x+39
to get y as just y divide everything by 13. Since 13/13=1 or 13y/13= y
y=-2x+3
show that (4p^2-3q)^2+48p^2q =(4p^2+3q^2)
Given:
The statement is
[tex](4p^2-3q)^2+48p^2q=(4p^2+3q^2)[/tex]
To prove:
The given statement.
Solution:
We have,
[tex](4p^2-3q)^2+48p^2q=(4p^2+3q^2)[/tex]
Now,
[tex]LHS=(4p^2-3q)^2+48p^2q[/tex]
Using [tex](a-b)^2=a^2+b^2-2ab[/tex], we get
[tex]LHS=(4p^2)^2+(3q)^2-2(4p^2)(3q)+48p^2q[/tex]
[tex]LHS=(4p^2)^2+(3q)^2-24p^2q+48p^2q[/tex]
[tex]LHS=(4p^2)^2+(3q)^2+24p^2q[/tex]
It can be rewritten as
[tex]LHS=(4p^2)^2+(3q)^2+2(4p^2)(3q)[/tex]
Using [tex](a+b)^2=a^2+b^2+2ab[/tex], we get
[tex]LHS=(4p^2+3q^2)[/tex]
[tex]LHS=RHS[/tex]
Hence proved.
Which of the following sets of a side length could be those of triangle lmn
Find the mistake!
1/4(x+12)=2
1/4x=10
x=-40
What is the value of x? Enter your answer in the box. °
Answer:
111°
Step-by-step explanation:
7 sides
sum of angles= (180×7)-360
1260-360=900
158+126+125+121+139+120+x=900
789+x=900
x=900-789
x=111°
BRAINLIEST AND 100 POINTS. Please help by explaining how you got the answer
Answer:
it may be A log x ........
John invested $2000 for 3 years at 10% per annum. Peter invested $1000 at the same rate. If they both received the same amount of money in interest, for how many years did Peter invest his money?
Answer:
6
Step-by-step explanation:
Hello! I need help this is important I have 5 minutes left! Thanks!
Answer:
I think H
Step-by-step explanation:
Pls mark me brailist
answer :
glide reflection
translation
reflection
rotation