Given:
The given expression is
[tex]-4(x+2)-2x+4[/tex]
To find:
The two other equivalent expressions.
Solution:
We have,
[tex]-4(x+2)-2x+4[/tex]
Using distributive property, we get
[tex]=-4(x)-4(2)-2x+4[/tex]
[tex]=-4x-8-2x+4[/tex]
So, one equivalent expression is [tex]-4x-8-2x+4[/tex].
On further simplification, we get
[tex]=(-4x-2x)+(-8+4)[/tex]
[tex]=6x-4[/tex]
Therefore, the second and fully simplified equivalent expression is [tex]6x-4[/tex].
I need help quick!
Q: The measure of
Answer:
x=34
Step-by-step explanation:
132-64=
68/2=
34
PLEASE MAKE ME BRAINLIEST
Han wrote a proof that triangle BCD is congruent to triangle DAB. Han's proof is incomplete. Which step is missing some information? DC∥AB
Step 1: Line AB is parallel to line DC and cut by transversal DB. So angles CDB and ABD are alternate interior angles and must be congruent.
Step 2: Side DB is congruent to side BD because they're the same segment.
Step 3: Angle A is congruent to angle C because they're both right angles.
Step 4: By the Angle-Side-Angle Triangle Congruence Theorem, triangle BCD is congruent to triangle DAB .
and WHY?
Answer:
The answer is below
Step-by-step explanation:
From the image, we can see that DC is parallel to AB.
Step 1:
Alternate interior angles are angles formed at the inner corners of intersection on opposite sides of transversal when two parallel lines are intersected by a transversal.
Since Line AB is parallel to line DC and cut by transversal DB. So angles CDB and ABD are alternate interior angles and must be congruent.
Step 2:
DB ≅ BD (reflexive property of congruence)
Step 3:
∠A = ∠C = 90° (right angles, given). But to prove that both triangles are congruent, the correct step 3 is:
Since, ∠A = ∠C = 90° and angles CDB and ABD are congruent. This means that the third angles in the both triangles are also congruent. Hence, angle ADB and CBD are must be congruent.
Step 4:
BD = DB, angles CDB and ABD are congruent, angle ADB and CBD are congruent.
Therefore, By the Angle-Side-Angle Triangle Congruence Theorem, triangle BCD is congruent to triangle DAB .
Given f(x) =1 - 3/4x find the following.
a. f(-12) b. f(0) c. f(4)
Answer:
a. f(-12) = 10
b. f(0) = 1
c. f(4) = -2
Step-by-step explanation:
In order to find the function of each of these numbers, you just need to replace them in the function as x and then solve:
a. f(-12) = 1 - 3/4(-12)
- f(-12) = 1 - (-36/4)
- f(-12) = 1 + 9
- f(-12) = 10
b. f(0) = 1 - 3/4(0)
- f(0) = 1 - 0
- f(0) = 1
c. f(4) = 1 - 3/4(4)
- f(4) = 1 - 12/4
- f(4) = 1 - 3
- f4) = -2
Figure B is a scaled copy of Figure A.
What is the scale factor from Figure A to Figure B?
Answer:
the answer is 4.5 in term of the measurement because Figure A has a larger scale and B has a smaller scale
Answer:
0.25
Step-by-step explanation:
Divide one side of Figure B by the congruent side of Figure A and you would get the scale factor.
If you multipy every side of figure A by 0.25 you would get the sides of figure B.
Hope this is helpful:)
jill uses some of her honey to make lotion. if each bottle of lotion requires 1/4 gallon and she uses a total 3 gallons how many bottles of lotion does she make
Answer:
am gonna need more imformation
Step-by-step explanation:
Plz, answer this question plz!
Answer:
third option down I'm 99% sure
I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Here is the answer
Step-by-step explanation:
Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n.
Answer:
78 dollars
Step-by-step explanation:
Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n. Find the value of c(7).
Given:
c(n) = 50 + 4n
Where,
c = monthly cost of visiting a gym
n = number of visits
Find the value of c(7)
That is, when n = 7
c(n) = 50 + 4n
c(7) = 50 + 4(7)
= 50 + 28
= 78
c(7) = 78 dollars
what fraction is equal to 3 1/4
Answer:
13/4
Step-by-step explanation:
Andrew buys 4 books for the same price, and also a video for $18. His total bill was $110. What was the cost of a book
The measure of Angle d is 150°. What is the value of Measure of angle b + measure of angle c + measure of angle e?
Answer:
[tex]\angle b + \angle c + \angle e = 120^\circ[/tex]
Step-by-step explanation:
Given
[tex]\angle d = 150[/tex]
See attachment for illustration
Required
Find [tex]\angle b + \angle c + \angle e =[/tex]
The sum [tex]of\ angles\ at[/tex] a point is [tex]360^\circ[/tex]
So:
[tex]\angle a + \angle b + \angle c + \angle d + \angle e = 360^\circ[/tex]
Angle a is at right angled.
So:
[tex]90 + \angle b + \angle c + 150 + \angle e = 360^\circ[/tex]
Collect like terms
[tex]\angle b + \angle c + \angle e = 360^\circ -150^\circ - 90^\circ[/tex]
[tex]\angle b + \angle c + \angle e = 120^\circ[/tex]
can you help with this Its due today.
Answer: x squared equals y
Step-by-step explanation:
besties i need help on this question
HURRY!!
The sequences are:
Number of moves: 1, 3, 7, 15, 31, 63, ...
2":2, 4, 8, 16, 32, 64, ...
Compare the two sequences. What is the pattern?
How could you find the minimum number of moves
required for a given number of disks?
The minimum number of moves required for a given number of disks.
We have given that,
The sequences are number of moves 1, 3, 7, 15, 31, 63,
2,2, 4, 8, 16, 32, 64,
Compare the two sequences.
Each term in the sequence of moves is 1 less than the corresponding term in the sequence of differences.
What is the sequence?A sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members. The number of elements is called the length of the sequence.
You can find any term in the sequence of moves using the formula
[tex]a_1=2^n-1[/tex]
No one cares about the explanation good luck with your grade Bois.
The minimum number of moves required for a given number of disks.
To learn more about the sequence visit:
https://brainly.com/question/6561461
#SPJ2
Answer:
Each term in the sequence of moves is 1
less than the corresponding term in the
sequence of differences.
You can find any term in the sequence of
moves using the formula
Step-by-step explanation:
Mr. Kelly was checking out his items at Dunkin Donuts, he bought three bags of coffee that cost $6.75 each. There is a sales tax of 8.75%, how much will Mr. Kelly pay in total?
Answer:
$22.02
Step-by-step explanation:
3(6.75)(1.0875) = 22.021875 ≈ $22.02 (Assuming the store rounds down.)
please help! quickly
Answer:
Step-by-step explanation:
Area of a cone is pie times radius square times height divided by 3
So it will be 3.14 x (4x4)x 9/3= 150.72
-4r>16 I have to solve this for my math hw
Answer:
r<-4
Step-by-step explanation:
when inequality is divided by a negative number the sign changes to next direction.
Oscar is planning to paint his house. For stability, the foot of his 17-foot ladder should be placed 4 feet from the house. How far up the side of the house will the ladder reach?
Answer: The side of the house will the ladder reached by ladder = 16.52 feet
Step-by-step explanation:
House is standing vertical on the ground.
By placing ladder, it will become a right triangle with hypotenuse as ladder.
By Pythagoras theorem,
[tex](hypotenuse)^2=(perpendicular)^2+(base)^2[/tex]
i.e.
[tex](17)^2=(Height \ of\ wall\ reached\ by\ ladder)^2+4^2\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=289-16\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=273\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)=\sqrt{273}\approx16.52[/tex]
Hence, the side of the house will the ladder reached by ladder = 16.52 feet (approx)
-10 + 2d=8 pls help me
Answer:
Add 10 from both sides:
2d = 18
divide by 2
D = 9
If sally invests $400 into the Bank of Reyonds that offers her a 6% interest, compounded monthly, how much money will she have in the bank in 5 years?
Given:
Principal = $400
Rate of interest = 6% compounded monthly
Time = 5 years.
To find:
The amount in the bank after 5 years.
Solution:
The formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest, n is the number of time interest compounded in an year and t is the number of year.
Interest compounded monthly. So, [tex]n=12[/tex].
Putting [tex]P=400, r=0.06, n=12[/tex] and [tex]t=5[/tex], we get
[tex]A=400\left(1+\dfrac{0.06}{12}\right)^{12(5)}[/tex]
[tex]A=400\left(1+0.005 \right)^{60}[/tex]
[tex]A=400\left(1.005 \right)^{60}[/tex]
[tex]A\approx 539.54[/tex]
Therefore, the amount of money in the bank after 5 years is $539.54.
Salma paid a total of $42 for 7 frozen meals. She had a coupon for $6 off the regular price of each meal. Each meal had the same regular price. What was the regular price of each meal
Answer:
$12
Step-by-step explanation:
42 divided by 7 is 6 so you just add the 6 that was originally subtracted die to the discount and you get 12.
(6.253•10^-2)(7.112x10^3) in scientific notation
Answer:
4.4471336 * 10^2.
Step-by-step explanation:
(6.253•10^-2)(7.112x10^3)
= 6.253*7.112 * 10^-2*10^3
= 44.471336 * 10^1
= 4.4471336 * 10^2.
Chris got 28 out of 35 correct in his test.
What fraction of the marks did he get correct?
Answer:
4/5
Step-by-step explanation:
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the zeros 4 and 3−i.
Answer:
[tex]P(x) = x^3 - 10x^2+ 34x-40[/tex]
Step-by-step explanation:
Given
[tex]p =1[/tex] -- Leading coefficient
[tex]Zeros: 4\ and\ 3 - i[/tex]
Required
Determine the polynomial
Represent the zeros with a and b
Such that
[tex]a = 4[/tex]
[tex]b = 3 - i[/tex]
The polynomial is:
[tex]P(x) = p * (x - a) * (x - b)[/tex]
[tex]P(x) = 1 * (x - 4) * (x - (3 - i))[/tex]
However, to solve further: We need to symmetrise over 3-i and its conjugate
[tex]P(x) = 1 * (x - 4) * (x - (3 - i))* (x - (3 + i))[/tex]
[tex]P(x) = (x - 4) * (x - (3 - i))* (x - (3 + i))\\\\[/tex]
To define a suitable function, the expression becomes
[tex]P(x) = (x - 4) * ((x - 3)^2+1)[/tex]
[tex]P(x) = (x - 4) * ((x - 3)(x - 3)+1)[/tex]
[tex]P(x) = (x - 4) * (x^2 - 6x + 9+1)[/tex]
[tex]P(x) = (x - 4) * (x^2 - 6x +10)[/tex]
Open bracket
[tex]P(x) = x^3 - 6x^2 +10x - 4x^2 + 24x-40[/tex]
[tex]P(x) = x^3 - 6x^2 - 4x^2+10x + 24x-40[/tex]
[tex]P(x) = x^3 - 10x^2+ 34x-40[/tex]
pls answer this asap no wrong answers pls
Answer:
They have the same y-intercept of -6.
Let's play a game.... Find two numbers that multiply to
10 and add to 7.
Answer:
2 and 5
Step-by-step explanation:
five plus two equals 7
Answer:
5 & 2
Step-by-step explanation:
X + y = 7
X × y = 10
Solve with the help of trial & error method.
Factors of 10 - 1, 5, 2, 10
Let's take 5 as X & 2 as y.
X + y = 7 --- 5 + 2 = 7
X × y = 10 --- 5 × 2 = 10
Hence, the two numbers that multiply to 10 and add to 7 are 5 & 2
If the slowest time and the fastest time are removed from the data, how does the new mean compare to the mean of the original data set?
A. The mean would not be comparable as the data sets are different.
B.The mean would increase as there is less variability in the data.
C. The mean would decrease as there is less variability in the data .
D.The mean would not change as the lowest and greatest values were removed .
Please help hurry
Answer:
A or C Sorry!
Step-by-step explanation:
Determine the y intercept
Answer:
y intercept is 4
Step-by-step explanation:
(b) Write down an equation of a line that is parallel to y =2 – 3x
Answer:
4-6x=y2
Step-by-step explanation:
You started at 440 meters then decreased by 20%. What is your elevation now?
