Answer: the statement that is not true is "The line is perpendicular to the y-axis"
I hope this helps
This statement is false because the line 4y = 12 has an undefined slope.
What is meant by slope?The slope of a line is the difference between the y-coordinate and the x-coordinate. The net change in the y-coordinate is represented by y, and the net change in the x-coordinate is represented by x. Thus, the change in y-coordinate with respect to the change in x-coordinate is given by:
m = y/x = y/x
Where "m" is the line's slope.
A straight line's slope can also be represented by the formula tan ∅ = y/x.
As a result, tan ∅ is the slope of a straight line.
A line's slope, in general, indicates its steepness and direction. The angle of slope of a line between two points (x1,y1) and (x2,y2) can be easily calculated by subtracting the coordinates of the points. The slope is typically denoted by the letter "m."
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Triangle DEF with vertices D(1, 2), E(3, 4), and F(1,4), is reflected across the y-axis, and then its image is reflected across the line y = x. Which single transformation moves the triangle from its starting position to its final position?
Answer:
Reflect over the x-axis
The single transformation of the given triangle will be rotation clockwise 90°.
What is the transformation of graphs?The technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation.
Graph reflection is the mirror image of a graph across any axis.
For example reflection of y = x about the x-axis like that.
Given vertices has plotted below.
As it is clear that if we rotate by 90° clockwise then we will get reflected across the line y = x.
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If (x+5) is one of the factors of the polynomial x3 + x2 - 32x - 60, find the remaining roots.
Answer:
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Step-by-step explanation:
Answer:
x = 5
x = 2
x = -6
Step-by-step explanation:
Use synthetic division to determine whether x – 4 is a factor of:
–2x5 + 6x4 + 10x3 – 6x2 – 9x + 4
For x – 4 to be a factor, you must have x = 4 as a zero. Using this information, I'll do the synthetic division with x = 4 as the test zero on the left:
completed division
Since the remainder is zero, then x = 4 is indeed a zero of –2x5 + 6x4 + 10x3 – 6x2 – 9x + 4, so:
Yes, x – 4 is a factor of –2x5 + 6x4 + 10x3 – 6x2 – 9x + 4
Find all the factors of 15x4 + x3 – 52x2 + 20x + 16 by using synthetic division.
Remember that, if x = a is a zero, then x – a is a factor. So use the Rational Roots Test (and maybe a quick graph) to find a good value to test for a zero (x-intercept). I'll try x = 1:
completed division
This division gives a zero remainder, so x = 1 must be a zero, which means that x – 1 is a factor. Since I divided a linear factor (namely, x – 1) out of the original polynomial, then my result has to be a cubic: 15x3 + 16x2 – 36x – 16. So I need to find another zero before I can apply the Quadratic Formula. I'll try x = –2:
completed division
Since I got a zero remainder, then x = –2 is a zero, so x + 2 is a factor. Plus, I'm now down to a quadratic, 15x2 – 14x – 8, which happens to factor as:
(3x – 4)(5x + 2)
Then the fully-factored form of the original polynomial is:
15x4 + x3 – 52x2 + 20x + 16
= (x – 1)(x + 2)(3x – 4)(5x + 2)
Given that x = -3 + sqrt(11) is a zero of x4 + 6x3 – 7x2 – 30x + 10, fully solve the
equation x4 + 6x3 – 7x2 – 30x + 10 = 0.
Since they have given me one of the zeroes, I'll use synthetic division to divide it out:
completed division
(You will probably want to use scratch paper for the computations required when manipulating the radical root.) Copyright © Elizabeth Stapel 2002-2011 All Rights Reserved
Since you only get these square-root answers by using the Quadratic Formula, and since the square-root part of the Formula is preceded by a "plus-minus" sign, then these square-root answers must always come in pairs. Thus, if x = -3 + sqrt(11) is a root, then so also must x = -3 - sqrt(11) be a root. So my next step is to divide by x = -3 - sqrt(11):
completed division
I had started with a fourth-power polynomial. After the first division, I was left with a cubic (with very nasty coefficients!). After the second division, I'm now down to a quadratic (x2 + 0x – 5, or just x2 – 5), which I know how to solve:
x = +/- sqrt(5)
Then the full solution is:
x = -3 +/- sqrt(11), +/- sqrt(5)
If you have studied complex numbers, then you may see a problem of the following type.
Given that 2 – i is a zero of x5 – 6x4 + 11x3 – x2 – 14x + 5, fully solve the
equation x5 – 6x4 + 11x3 – x2 – 14x + 5 = 0.
They have given us a zero, so I'll use synthetic division and divide out 2 – i:
completed division
(You will probably want to use scratch paper for the computations required when doing complex division.)
Recall that, to arrive at a zero of 2 – i, they must have used the Quadratic Formula, which always spits out complex answers in pairs. That is, you get the imaginary part (the part with the "i") from having a negative inside the "plus or minus square-root of" part of the Formula. This means that, since 2 – i is a zero, then 2 + i must also be a zero. So I'll divide by 2 + i:
completed division
This leaves me with a cubic, so I'll need to find another zero on my own. (That is, I can't apply the Quadratic Formula yet.) I can use the Rational Roots Test to help find potential zeroes, and a quick graph of x3 – 2x2 – 2x + 1 can help. I will try x = –1:
completed division
Now I'm down to a quadratic (x2 – 3x + 1, which happens not to factor), so I'll apply the Quadratic Formula to get:
x = (3 +/- sqrt(5))/2
Then all the zeroes of x5 – 6x4 + 11x3 – x2 – 14x + 5 are given by:
x = 2 - i, 2 + i, (3 - sqrt(5))/2, (3 + sqrt(5))/2, -1
Last year, Keith opened an investment account with $8200. At the end of the year, the amount in the account had decreased by 7.5%. How much is this decrease in dollars? How much money was in his account at the end of last year?
Answer:
You would multiply $8200 by .075, giving you 615. Then to find the decrease. Take the starting value (8200) by the end value (615). and you would get 7,585.
The figure below shows two pair of congruent triangles. ΔFDE≅ _____. ΔYXW ΔXYW ΔWYX ΔWXY
Answer:
WYX
Step-by-step explanation:
Answer:
wxy
Step-by-step explanation:bc it is
I Got renegade Raider From Fortnite For Free add me and like heart me if you want to learn how to get it
Answer:
that's fake right?
Step-by-step explanation:
¯\_(ツ)_/¯
The municipal swimming pool in Charlotte North Carolina has a three different ways of paying for individual open swimming. Nick is trying to decide which way to pay period early pay: $45 before memorial day, swim any number of days. Deposit plus : eight dollars deposit +3 dollars per day. Daily pay: four dollars a day. Fill in the table with the cost to swim to given number of days each amount should be the total cost swim that number of days, including the deposit if applicable
Answer:
1. a Early Pay: y = 45
b. Deposit Plus: y = 12.00 + 4.00x
c. Daily Pay: y = 6.00x
2. Early pay = $25
Deposit Plus = 12.00 + 4.00(4) = 12.00 + 16.00 = $28.00
Daily Pay = 6.00(4) = $24.00
Daily Pay is the cheapest one.
3. Early Pay = $45
Deposit Plus = 12.00 + 4.00(8) = 12.00 + 32.00 = $44.00
Daily Pay = 6.00(8) = $48.00
Deposit Plus is the cheapest one.
4. Early Pay = $45
Deposit Plus = 12.00 + 4.00(12) = 12.00 + 48.00 = $60.00
Daily Pay = 6.00(12) = $72.00
Early Pay is the cheapest one.
5. Since Jane likes to swim most days, it would be cheaper for her to do the Early pay option, because the price is a one time fee and she can swim every day.
Since Suzy doesn't really like to go swimming and might only go a couple times, it would be best for her to do the daily pay, that way she didn't spend any money up front if she doesn't swim at all.
Step-by-step explanation:
Below are two inequalities and the graphs of their lines without the shading. By imagining where the shading should be, identify which point would satisfy BOTH inequalities
We want to imagine where the shading should be, and with that determine which point is a solution for both inequalities. We will see that the solution is the point (7, -8)
Interpreting inequalities:
In this case, the inqualities are:
y < -x + 1y < (-1/2)*x - 1You can see that in both cases, y is smaller than the line, thus, for both inequalities, we must shade the part that is below the lines.
With that in mind, the region of solution will be the region that is below both lines at the same time, and that region will be the "triangle" that you can see at the middle below the horizontal axis.
Now that we know the region of solutions, we only need to see which point belongs there, from the given options the only that belongs to that region is the point (7, -8), which means that this point is a solution for both inequalities.
If you want to learn more about inequalities, you can read:
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no clue what to do lol
Answer:
Thanks for the free points
Answer:
So, the answer for b is 20.
The way to figure this out is:
angle N is congruent to angle S
angle M is congruent to angle M
side NM is 10
because of the three things above, triangle NHM is congruent to triangle SML because of SAS(side angle side postulate)
Hope that helps! Let me know if it does! ;P
Round 3/18 to the nearest half
Explanation: 1 / 2 = 9 / 18 Halfway that and 0 would be 4.5 / 18 Since 3 / 18 is below that, we would round to 0
plzzzzzz help me Find the slope when given the following points. 2) (2, 1) and (5, 3)
Answer:
2/3
Step-by-step explanation:
3-1/5-2=
2/3
what is an equation of the line that is parallel to y=-5x+6 and passes through the point (-4,-1)
Answer:
y= -5x - 21
Step-by-step explanation:
parallel lines have the same slope, so you know the slope.
you need to use the point slope formula y-y1=m(x-x1)
with this equation, this looks like y - -1 =- 5(x - -4)
double negatives are positives, so to keep this easier on the eyes, let's make it y + 1= -5(x + 4)
distribute the -5. you should get y + 1 = -5x - 20
subtract 1 to move it from the left side to the right and you get your answer!
y = -5x - 21
Anna invested $28,000 in an account paying an interest rate of 6.5% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $39,500?
Answer:
It will take 5.3 years to reach $39,500
Step-by-step explanation:
Compound Interest
It occurs when the interest is reinvested rather than paying it out.
Interest in the next compound period is then earned on the principal sum plus the previously accumulated interest.
The formula is:
[tex]\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
We are required to find the time needed to convert the principal P into a given final amount.
Solving the above equation for t, we get:
[tex]\displaystyle t=\frac{log(A/P)}{n\cdot log\left(1+r/n\right)}[/tex]
Anne invested P=$28,000 in an account at r=6.5%=0.065 compounded daily. There are 360 days in a year, so n=360. The final amount A=$39,500.
Substituting into the formula:
[tex]\displaystyle t=\frac{log(39,500/28,000)}{360\cdot log\left(1+0.065/360\right)}[/tex]
t=5.3 years
It will take 5.3 years to reach $39,500
Answer:5.3
Step-by-step explanation:
Which statement most accurately describes what happens when a bar of chocolate melts? A. A physical change takes place that causes molecules to move slower. B. A physical change takes place that causes molecules to move faster. C. A chemical change takes place that causes molecules to move faster. D. A chemical change takes place that causes molecules to move slower.
Answer:
(B). A physical change takes place that causes molecules to move faster
Step-by-step explanation:
When a bar of chocolate melts its physical form is changed, there is no difference in its chemical composition as it is still same.
When the chocolate bar was frozen its molecules were held strongly, and they were barely moving, whereas when it melts the molecules are more free to move now.
The two tables below show the amount of tip,y, included on a bill charging x dollars.which compared the slopes of the lines created by the tables?
Answer:
Need more information
Step-by-step explanation:
Answer:
It's B
Step-by-step explanation:
I got it right on the test
what does x equal?
Answer:
16 = x
Step-by-step explanation:
Since angle B and E are congruent to each other (because triangle ABC is congruent to triangle DEC), We can set up an equation to find x.
x + 15 = 6x - 65
Add 65 and subtract x to and from both sides.
80 = 5x
Divide by x.
16 = x.
Identify the slope of the line.
y=x+11
Answer:
when starting from point 0|0 go 11 points up. then just up to the right
Answer:
m = 1
Step-by-step explanation:
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations (I use it all the time).
PLEASE HELP I WILL GIVE BRAINLIEST IF 2 PEOPLE ANSWER! Find the area of a square with side length x when x is equal to the given value. Are the area of a square and the length of its side directly proportional? Justify Your Answer.
x = 15 inches.
The area of the square is __ square inches.
Answer:
The area of the square is 15²
the area of a square and the length of its side are directly proportional because The area of the square is x²=> when its edge decreases, the area of the figure decreases
Step-by-step explanation:
Marco is discussing how prices have changed with his son, Paul. Paul does not believe him, so they decide to research the price of their favorite food items. Use the information below to determine the percent change in the question below. Round your answers to nearest tenths place.
What is the percent of change in the cost of a hot dog? il mark you brainly
Answer:
devide them by each other and then when it is deamal form put it in %
:)
Step-by-step explanation:
Brainliest plz
Answer:
Cost of the Pizza is 20%
Cost of the Cheeseburger is 30%
Cost of the Fries is 125%
Step-by-step explanation:
If △EFG ≅ △HJK, complete each part.
Answer:
[tex] \overline{EG} \cong \overline{HK} [/tex]
[tex] \overline{HJ} \cong \overline{EF} [/tex]
[tex] \angle F \cong \angle J [/tex]
[tex] \angle H \cong \angle E [/tex]
∆FGE ≅ ∆JKH
Step-by-step explanation:
Since ∆EFG ≅ ∆HJK, therefore, the corresponding sides and angles of both ∆s are congruent.
Thus:
[tex] \overline{EG} \cong \overline{HK} [/tex]
[tex] \overline{HJ} \cong \overline{EF} [/tex]
[tex] \angle F \cong \angle J [/tex]
[tex] \angle H \cong \angle E [/tex]
∆FGE ≅ ∆JKH (take note of the arrangement of the letters or naming of each vertex of both triangles. Each vertex of in one ∆ must correspond to the vertex of the other for the ∆s to be congruent)
△EFG ≅ △HJK,
From the figure attached we can conclude that
[tex]\rm \bar {EG}[/tex] ≅ [tex]\rm \bar {HK}[/tex]
[tex]\rm \bar HJ[/tex] ≅ [tex]\rm \bar FE[/tex]
∠[tex]\rm F[/tex] ≅∠[tex]\rm J[/tex]
∠[tex]\rm H[/tex] ≅∠[tex]\rm E[/tex]
△FGE ≅ △JKH
Given that
△EFG ≅ △HJK,
Since △EFG ≅ △HJK is given hence we can conclude that corresponding sides and corresponding angles of both the triangles will be equal.
Two triangles are said to be congruent when they are of similar shape and size means all the angles of one triangle are equal to the corresponding angles of other triangle and all the sides of one triangle are equal to corresponding sides of other triangle.
From the figure attached we can conclude that
[tex]\rm \bar {EG}[/tex] ≅ [tex]\rm \bar {HK}[/tex]
[tex]\rm \bar HJ[/tex] ≅ [tex]\rm \bar FE[/tex]
∠[tex]\rm F[/tex] ≅∠[tex]\rm J[/tex]
∠[tex]\rm H[/tex] ≅∠[tex]\rm E[/tex]
△FGE ≅ △JKH
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somebody pleaseee help it’s due today
Answer:
-189
Step-by-step explanation:
You substitute the x for -7 and put it into a calculator.
Determine the equation of the line represented in the graph below.
y = 2/3x - 1
y = 3/2x - 1
y = 2/3x + 1
y = 3/2x + 1
Answer:
2/3x-1
Step-by-step explanation:
Please help me with this is really important here is the picture
Answer:
constant speed 35
Step-by-step explanation:
at 1 hour its above 35. its a constant speed because its a straight line. is that complete enough for you moderator
the answer is the speed is 35
What quadrant does -495 lie in?
i need help with problem 16
Answer:
she decorated two cookies per minute
Step-by-step explanation:
72 cookies divided by 36 minutes
Use the table and graph that relates dog ages to human ages to
following question.
question: would there ever be one year assigned to two different quantities? explain.
please help ill mark brainlest and like and rate your answer.
Answer:
No
Step-by-step explanation:
3(5 +6) =
can someone please help?
Answer:
33
Step-by-step explanation:
Answer:
33
Step-by-step explanation:
3(11)=33
hope this help
Fine the values of x and y
Answer:
x=5 and y=1
Step-by-step explanation:
-8x + 2c = -3, for x
Answer:
x=3/8+c/4
Step-by-step explanation:
Use an integer strategy to find each answer.
(-4) + (-8) + 11 – (-2)
Answer:
1
Step-by-step explanation:
(-4) + (-8) + 11 - (-2)
~Simplify
-4 - 8 + 11 + 2
~Subtract
-12 + 11 + 2
~Add
-1 + 2
~Add
1
Best of Luck!
anyone know this ? for math , thank you
Answer: The y=2
Step-by-step explanation: