If the parent graph is made steeper or less steep (y = ½ x), the transformation is called a dilation.
And if the parent graph is changed so that it falls to the right instead of rising to the right (y = -x), the transformation is called a reflection.
If x is replaced by x/A in a formula and A>1, then the effect on the graph is to expand it by a factor of A in the x-direction (away from the y-axis). If A is between 0 and 1 then the effect on the graph is to contract by a factor of 1/A (towards the y-axis). We use the word "dilate'' to mean expand or contract.
f y is replaced by y/B in a formula and B>0, then the effect on the graph is to dilate it by a factor of B in the vertical direction. As before, this is an expansion or contraction depending on whether B is larger or smaller than one. Note that if we have a function y=f(x), replacing y by y/B is equivalent to multiplying the function on the right by B: y=Bf(x). The effect on the graph is to expand the picture away from the x-axis by a factor of B if B>1, to contract it toward the x-axis by a factor of 1/B if 0<B<1, and to dilate by |B| and then flip about the x-axis if B is negative.
When dilating a line, check if the center is on the line. If the center lines on the line, the line remains the same.
The line whose equation is y = x + 3 is dilated by a scale factor of 2 centered at the origin. Write the equation of the line after the dilation.
M= 1 , b =3
0=0 +3
0 ≠ 3
center not on line
(0 ,3)→(0 ,6) d2 y intercept
(1 ,4)→(2 ,8) d2 y intercept
y = mx + b
y =x +6
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Write the linear equation in slope-intercept form given the following:
(1, 4); slope=-2
Answer:
y=-2x+6
Step-by-step explanation:
y-4=-2(x-1)
y=-2x+6
The temperature was -5 degrees and then fell 8 degrees. What is the temperature now?
Answer:
-13 degrees tell me if it's right
Answer:
-13 is the answer
Step-by-step explanation:
because -5-8= -13
Are the triangles congruent? If so, name the postulate or theorem that
justifies your statement.
Given: AE || BD, AE =BD,
LED
Conclusion: AEB – ABDC
Answer:
ASA
Step-by-step explanation:
another possible pair is ∠A and ∠B
so it makes it ASA
How to change a decimal into a fraction? Specific question: change 1.25 to an exact percent?
Answer:
125%
Step-by-step explanation:
1.25 x 100% = 125%
I only need 1 b. please no work needed thank you
Answer:
standard form is x^2-3x-4=0
which is a^2+bx+c=0
so the value of a=1 , b= -3 and c= -4
can someone please help me with this
Answer:
The answer is about 13.7 for x
Step-by-step explanation:
Hope this helps.
Find the value of x for brainliest
Answer:
x=27.5
Step-by-step explanation:
x/4=55/8
Cross multiply:
8x=220
Divide:
8x/8=220/8
x=27.5
Describe the differences in the graphs of linear functions vs. exponential functions.
A. Linear functions have a constant slope, while exponential functions start flat and get steeper.
B. Linear functions cross the y-axis above exponential functions.
C. Linear functions slope down, while exponential functions slope up.
D. There is no
differhoice.
I’ll give brainiest
Answer:
It's A.
(Just finished the quiz) <3
The differences in the graphs of linear functions vs. exponential functions
is, A. Linear functions have a constant slope, while exponential functions start flat and get steeper.
What is a linear equation?An equation of degree one is known as a linear equation.
A linear equation of two variables can be represented by ax + by = c.
A function is an exponential function when the exponent is the variable.
The difference between a linear function and an exponential function is,
while exponential functions begin flat and gradually steepen, linear functions have a constant slope.
learn more about exponential functions here :
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Fifteen disks with the given measurements are stacked on top of each other. Which expression does NOT give the volume of the cylinder that is formed?
Missing information:
[tex]r = 3cm[/tex]
[tex]h = 1cm[/tex]
Options:
(a) [tex]\pi * 3^2 * 15[/tex] (b) [tex]\pi * 3* 15^2[/tex]
(c) 15 times the volume of the disk
(d) The height of the stack multiplied by [tex]\pi r^2[/tex]
Answer:
(b) [tex]\pi * 3* 15^2[/tex]
Step-by-step explanation:
Given
15 identical disks
[tex]r = 3cm[/tex]
[tex]h = 1cm[/tex]
Required
Determine the odd option
The volume of 1 disk is:
[tex]V_1 = \pi r^2h[/tex]
[tex]V_1 = \pi * 3^2 * 1[/tex]
The volume of 15 is:
[tex]V_{15} = 15 * V_1[/tex]
[tex]V_{15} = 15 * \pi * 3^2 * 1[/tex]
[tex]V_{15} = \pi * 3^2 * 15[/tex]
The above equation represents (a), (c) and (d)
Because:
(a): [tex]V_{15} = \pi * 3^2 * 15[/tex]
(c) 15 * volume of the disk: [tex]V_{15} = 15 * V_1[/tex] = [tex]V_{15} = \pi * 3^2 * 15[/tex]
(d) height * [tex]\pi r^2[/tex] = h * [tex]\pi r^2[/tex] = [tex]15 * \pi * 3^2 * 1[/tex] = [tex]V_{15} = \pi * 3^2 * 15[/tex]
Hence, (b) is the odd option
Determine the sine, cosine, and tangent of angle THETA. Check tje appropriate solution for each.
Step-by-step explanation:
c²=a²+b²
a²=c²-b²
a²= 15²-9²=225-81=144
a=√144=12
sinΩ=a/c=12/15=4/5
cosΩ=b/c=9/15=3/5
tanΩ=a/b=12/9=4/3
Are the two expressions in the equation 2b + 5 + 1b = 3b + 5 equal or equivalent? How do you know?
Answer:
they are equal because while solving 2b+5+1b it will come 3b+5 so they are equal
Answer:
the equation are equivalent
Step-by-step explanation:
to know why, look at the pic above
PLEASEEEEE HELPPP ILL GIVE 30 POINTS PLSSS HELP
How Many Miles please help me.
The measure of angle 1 is 130°.
2 lines intersect to form 4 angles. From top left, clockwise, the angles are 1, 4, 3, 2.
Which other angle must also measure 130°?
Answer:
The angle opposite angle 1
Step-by-step explanation:
Opposite angles have the same degree when two lines intersect because they are vertical angles.
Answer:
3
Step-by-step explanation:
Find the Values of x and y
Solve for x
Solve for x
Answer:
23.1
Step-by-step explanation:
14/20*x/33
Cross multiply
14*33=20*x
462=20*x
462/20=x
23.1=x
Hope this helps :)
Answer:
According to the ratio of segments:-
[tex]\frac{20}{14} =\frac{33}{x}[/tex][tex]20x=14(33)[/tex]
[tex]20x=462[/tex]
[tex]x=\frac{462}{20}[/tex][tex]=23.1[/tex]------------------------hope it helps...have a great day!!Which of the following is a diameter of Circle O?
A
AB
B
DG
EB
D
AE
Answer:
EB
Step-by-step explanation:
Diameter is a line that cut a circle into equal halves
O indicate the point of the center
Which of the following best describes the equation below?
y = 8x + 9
A.
both linear and nonlinear
B.
neither linear nor nonlinear
O
C.
linear
D.
nonlinear
Answer:
C
Step-by-step explanation:
what form is the equation 12y=2x=24
Answer:
Step-by-step explanation:
Simplifying
12y + 2x = 24
Reorder the terms:
2x + 12y = 24
Solving
2x + 12y = 24
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-12y' to each side of the equation.
2x + 12y + -12y = 24 + -12y
Combine like terms: 12y + -12y = 0
2x + 0 = 24 + -12y
2x = 24 + -12y
Divide each side by '2'.
x = 12 + -6y
Simplifying
x = 12 + -6y
Please help !!! I’m stuck
Answer:
2/3 ≈ 0.6667
Step-by-step explanation:
apply soh cah toa
sine=opposite/hypo
sine=4/6
sine=2/3
Round 259.98991 to the nearest hundredth.
259.99
259.990
259.9899
260.00001
Use distributive property to rewrite each algebraic expression: 8(s + 5)
Answer:
8s + 40
Step-by-step explanation:
8*s = 8s
8*s = 40
8s + 40
Answer: The correct answer is 8s+40
Step-by-step explanation: If it's correct can i get brainliest..... hopes this helps.
Having some struggles
Answer:
I think it's 399
___
500
I hope it's well help you
Answer:
the answer is 149/500 :D hope this will help u
The senior classes at High School A and High School B planned separate
trips to the state fair. The senior class at High School A rented and filled 3
vans and 13 buses with 628 students. High School B rented and filled 9
vans and 2 buses with 182 students. Every van had the same number of
students in it as did the buses. Find the number of students in each van
and in each bus. *
Van: 10, Bus: 46
Van: 15, Bus: 70
Van: 4, Bus: 22
Van: 46, Bus: 10
Answer: Van: 10, Bus: 46
Step-by-step explanation:
Let the number of students in each van be represented by v.
Let the number of students in each bus be represented by b.
The question given can be formed into an equation as:
3v + 13b = 628 ...... i
9v + 2b = 182 ......... ii
Multply equation i by 9
Multiply equation ii by 3
27v + 117b = 5652 ........ iii
27v + 6b = 546 ....... iv
Subtract iv from iii
111b = 5106
b = 5106/111
b = 46
Bus = 46
Recall that 9v + 2b = 182
9v + 2(46) = 182
9v + 92 = 182
9v = 182 - 92
9v = 90
v = 90/9
v = 10
Van = 10
7x + 2y = 24
8x + 2y = 30
Answer:
x=6
so
6x7
42+ = 24/2
12-42
y=-30
Step-by-step explanation:
Graph the equation y= 5x - 4
Answer:
the y intercept will be -4 and the slope would be 5
Linear Equations & Linear Systems:Question 5
What is the solution to the following system of equations?
Somebody pls help me
so it said to pick which statement is true about the measurements of angles ABC. so I said B, can someone check if this is correct please
Answer:
Its c.
Step-by-step explanation:
Because B is the smallest point on that picture.
BrainliesT?
Answer:
your answer is correct
Step-by-step explanation:
have A great day
does anyone know the answer to 5(2t+3)=75 that can tell me how to find the answer not just the answer
Answer: Let me know if this helps.
Step-by-step explanation:
5(2t+3)=75 Distribute the 5 using multiplication. 5x2t and 5x3
10t+15=75 Subtract 15 because you need to get the t by itself.
10t = 60 Now divide by 10 to get t by itself. 10/10 and 60/10.
t = 6 Answer.
Answer:
t=6
Step-by-step explanation:
It's all about get t on one side of the equation, and so everything else on the other side of the equation.
The first thing we want to get rid of is the 5. The 5 is multiplied by (2t+3), so to get rid of it, we divide both sides by five (divide both sides since they must remain equal):
(5(2t+3))/5=75/5
2t+3=15
The next thing we can get rid of is the 3. Subtract 3 from both sides:
2t+3-3=15-3
2t=12
Now, we get rid of the 2. Divide both sides by 2:
2t/2=12/2
t=6
Solve for x: 16^2x + 1 = 128
38
83
4
43
Answer:
[tex]16^{2x}[/tex]+1=128
x=4