Answer:
X = -7
Step-by-step explanation:
2.5x +10 = x -0.5
Cancel The 1x (x)
1.5x + 10 = (-0.5)
Cancel out the 10
1.5x = (-10.5)
divide by 1.5 to get your answer....
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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.
For more information transformation of the graph,
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What is the slope,m, of the table?
What is the y-intercept,b, of the table?
What is the equation that represents the table?
Answer:
9
Step-by-step explanation:
What quadrant does -495 lie in?
Helpp me pls for this one
Answer:
5
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!
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
Anyone know how to do this? pls explain how
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.
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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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.
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Answer:
that's fake right?
Step-by-step explanation:
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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
anyone know this ? for math , thank you
Answer: The y=2
Step-by-step explanation:
Simplify this expression.
20.25 − 912 + 11
Answer:
20.25-923
Step-by-step explanation:
20.25-923
912+11=923
-8x + 2c = -3, for x
Answer:
x=3/8+c/4
Step-by-step explanation:
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Answer:
ok
Step-by-step explanation:
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:
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I cant seem to understand this. Please, someone help :)
Answer:
76
Step-by-step explanation:
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
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
select the cost of 2 pounds of blueberries
$2
$4.50
$9
$14.00
Solve the equation using the square root property.
will
X2 - 8x + 16 = 4
Plz I need help
Answer: 4
Step-by-step explanation: make me
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
Is this isosceles triangle acute or equiangular?
Answer:
Equiangular triangle
Step-by-step explanation:
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The equation below models the height in feet, h, of a softball t seconds after it is hit by a batter.
h = -16t sqaured + 105 t + 3
Why is the height of the ball a function of time?
A)Each value of time is associated with exactly one height.
B)Each height of the ball is associated with exactly one moment in time.
C)There is exactly one time at which the maximum height is attained.
D)There is a maximum and minimum height that the ball can reach.
this is on edge2020
Answer:
Hey! It's me again!
Answer:
A
Step-by-step explanation:
i need help with problem 16
Answer:
she decorated two cookies per minute
Step-by-step explanation:
72 cookies divided by 36 minutes
Select the correct answer.
How does Gary's character reflect the passage's theme?
A.
The character's dialogue reveals that heroes are people of very few words.
B.
The character demonstrates that all kids are afraid of being caught skipping class.
C.
The character illustrates that bullies do not care whom they push around.
D.
The character's transformation shows that the unlikeliest of people can be heroes.
Answer:
D?
Step-by-step explanation:
I think so
Answer:
D.The character's transformation shows that the unlikeliest of people can be heroes.
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.
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