Answer:
The answer is below
Step-by-step explanation:
Write the coordinates of the vertices after a dilation with a scale factor of 1/5 , centered at the origin.
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.
Dilation is the reduction or enlargement in the size of an object by a scale factor (k). If k > 1, it is an enlargement and if k < 1, it is a reduction. If a point A(x, y) is dilated by a factor k, the new point is A'(kx, ky).
Therefore, if the vertices are dilated with a scale factor of 1/5 , centered at the origin. The new point is:
S(5, -10) → S′(1 , -2) T(10, -10) → T′(2 , -2) U(5, 10) → U′(1 , 2)
Answer:
j
j
Step-by-step explanation:
Last question for the day plz help thank you!!<3
Answer: A
Step-by-step explanation:
help please!!
[tex]\text{solve the following equation : }[/tex]
[tex] \sf\tan^{2}(\theta)-(1+\sqrt{3})\tan(\theta)+\sqrt{3} = 0[/tex]
Answer:
[tex] \huge \boxed{ \red{ \boxed{\begin{cases} \theta = {45}^{ \circ} \\ \theta= {60}^{ \circ} \end{cases} }}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:trigonometryPEMDASlet's solve:distribute tan(θ):
=>tan²(θ)-(tan(θ)+√3tan(θ))+√3=0
remove parentheses:
=>tan²(θ)-tan(θ)-√3tan(θ)+√3=0
so this equation is now in standard form i.e ax²+bx+c=0
we can solve by factoring as we solve quadratic equation
factor out tanθ:
=>tan(θ)(tan(θ)-1)-√3tan(θ)+√3=0
factor out -√3:
=>tan(θ)(tan(θ)-1)-√3(tan(θ)-1)=0
group:
=>(tan(θ)-√3)(tan(θ)-1)=0
separate it as two different equation:
[tex] \implies \begin{cases} \tan( \theta) - 1 = 0 \\ \tan( \theta) - \sqrt{3} = 0 \end{cases}[/tex]
add 1 and √3 to both sides to first and second equation respectively:
[tex] \implies \begin{cases} \tan( \theta) - 1 + 1 = 0 + 1 \\ \tan( \theta) - \sqrt{3} + \sqrt{3} = 0 + \sqrt{3} \end{cases} [/tex]
[tex] \implies \begin{cases} \tan( \theta) = 1 \\ \tan( \theta) = \sqrt{3} \end{cases} [/tex]
[tex] \therefore \begin{cases} \theta = {45}^{ \circ} \\ \theta= {60}^{ \circ} \end{cases} [/tex]
help me really plz!!!
Answer:
I have made it in above picture
find the median of data set: 23, 31, 32, 34, 39, 38, 38, 34, 38
Answer: 34
Hope this helps :)
What would be the angle for M
Answer:
180-124-33=23
Understanding Intercepts
What is the x-value of the y-intercept? How do you
know?
Answer:
0
Step-by-step explanation:
The x-value in the y-intercept must be zero. This is because the y-intercept is where a line or function intersects with the y-axis. All points on the y-axis have an x-value of 0. Therefore, all y-intercepts will have an x-value of 0 and look like (0,b).
Answer: x and y intercepts are the points in which your line crossing x axcis and y axcis . For the streight line given by linear function y=ax+b we find coordinates of the point A represent x intercept using value for the second coordinate y=0 then return this value to linear function
0=ax+b subtract b from both sides
-b -b
-b=ax divide by a which id different then 0
-b/a=x
X-itercept is a point A(-b/a, 0)
For y intercept point B (x.y) our first coordinate x=0, return this value to the linear function y=ax+b
y=a*0+b
Y=0+b
y=b
y intercept is a point B(0,b)
For the special types of linear equations:
1. When a=0 liner function is y=b we have parallel lines with x axcise, crosing only y axcise and there are only y intercept B(0,b)
2. When a=0 and b=0 linear function is y=0, which is equation of the x axcise. In this case y intercept is the orgin point O(0,0) and x-intercepts is are all points of the x axcise A(x,0); x can be any real number. This means infinite many x intercept points.
3. When a is not 0 and b=0 we have x intercept point A(0,0) and y intercept point B(0,0).
4. For the linear equation x=c, c is constant value, we have parallel line with y axcise crosing x axcise at the point A(c,0) and there is no y intersect because there are parallel lines
Step-by-step explanation: Example y=2x+6. For x intercept y=0, return to linear function and in the place oy poot its value
0=2x+6 subtract 6
-6 -6
-6=2x divide by 2
-3=x
X intercept points is a point A(-3,0)
For the y intercept point B(x,y) x=0, return to linear function and in the place of x poot its value
y=2x+6
y=2*0+6
y=0+6
y=6
x intercept is a point B(0,6).
A soup bowl is in the shape of a hemisphere with a diameter of 10 cm. What is the approximate maximum volume of soup that the bowl can hold? A 2.094 cm B. 524 cm C. 262 cm
Answer:
C. 262 cm
Step-by-step explanation:
Use the formula for the volume of a sphere, V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex]r³
Since the diameter is 10 cm, the radius will be 5 cm
Plug in the radius into the formula:
V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex](5³)
V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex](125)
V = 523.6
Since the bowl is a hemisphere, divide this by 2:
523.6/2
= 261.8
Rounding to the nearest cm, the volume of the bowl is 262 cubic cm.
So, the correct answer is C. 262 cm
what does it mean to evaluate an expression in 5th grade
Answer:
Usually it means to solve it. Sometimes they give you values to substitute in for variables (letters) in the math sentence/equation/expression.
Does that make sense?
Step-by-step explanation:
please help me!!!!!!!!!
Answer:
120
Step-by-step explanation:
TQR = 180 - (35+25) = 120
TQP= 180-120=60
TNP=TQP =60
MNT= 180-60=120
pls help i give 25 points
Answer:
find the dirivitev
Step-by-step explanation:
Answer:
2b + 2c
35h + 15m
ef + eg
Step-by-step explanation:
you just individually multiply everything inside the parentheses by the number on the outside.
Examine the following sequence 1, 4, 9, 16, 25…. Why is 36 the next number in the sequence? Because the pattern is:
a.
Add the next even number
c.
Cube the number of the term, n
b.
Square the number of the term, n
d.
Add 2 + the number of the term, n
Please select the best answer from the choices provided
A
B
C
D
Answer:36
Step-by-step explanation:it just is
Y=52(0.42)^x identify if it's growth or decay and determine the percentage rate of increase or decrease
Answer:
58%
Step-by-step explanation:
Given the exponential relation :
Y=52(0.42)^x
Since 0.42 is less than 1, then we can infer that the expression is a Decay function ;
. General form of a exponential function :
y = A(1 - r)^x ; r = Decay rate
Comparing the general equation with the equation given ;
The percentage rate of decrease is obtained thus :
1 - r = 0.42
1 - 0.42 = r
r = 0.58
Rate = 0.58 * 100%
Rate = 58%
A right triangle has one leg of length y and hypotenuse of length x. What is the length of the other leg of this triangle
a x+y−−−−√
b x2+y2−−−−−−√
c x−y−−−−√
d x2−y2−−−−−−√
Answer:
Step-by-step explanation:
YALL HELP!!! it’s about reflection across the x axis
Jonah took out a four year loan for $22,000 to help pay for college. He has to pay 5% simple interest on the loan. How much will he have to pay back at the end of the four years?
Answer:
26,400
Step-by-step explanation:
1) Find 5% of 22,000 by multiplying 22,000 by .05. You should get 1100.
2) Multiply that by 4. (4400)
3) Now add that to the original.
Heeeelp me Asp need this
Answer:
False; True; True
Step-by-step explanation:
If the radius is 4, the area of the circle is
pi*r*r = pi * 4 * 4 = 16pi; The second statement is true.
The entire circle's "angle" is 2pi, so the sector takes (2pi/3) / 2pi of it all, equal to 1/3 of the entire circle - hence the area of the sector is
16pi * 1/3 = 16pi/3; the first statement is false
The length of the entire circle is 2 * pi * r = 2 * pi * 4 = 8pi
The sector is 1/3 of that, so 8pi/3; the third statement is true.
What are the digits that repeat in the smallest sequence of repeating digits in the decimal equivalent of 2411?
Answer:
18
Step-by-step explanation:
LMNP is roatated 90 degrees clockwise around the origin
It would be c, (1, 0)
Answer:
C. L'(1, 0)
Step-by-step explanation:
Enter the number that belongs in the green box
Answer:
60
Step-by-step explanation:
How does Ray Bradbury's description of Margot's appearance in "All Summer in a Day" also give insight into her feelings?
Answer:
The description of Margot as a frail girl who had lost her vibrancy shows that she was in eager anticipation of the rain.
Step-by-step explanation:
The short story, "All Summer in a Day", tells of how a girl named Margot always stood differently from her classmates because she eagerly anticipated a time when the sun will come out as the scientists projected. It had been raining in this planet, Venus for seven years non-stop.
Margot who came from planet earth some five years ago could still clearly recall how the sun looked like and despite her description of it, the children still doubted her. On the day the sun finally came, the children locked Margot in a closet and she was unable to see the sun.
Solve these simultaneous equations:
6x + 8y = 36 6x + 5y = 27
Answer:
Y = 3
X = 2
Step-by-step explanation:
(6x2) = 12
(8x3) = 24
12 + 24 = 36
(6x2) = 12
(5x3) = 15
12 + 15 = 27
Name the ordered pair for the point
Answer:
the answer is 1,1 1/2 os c
Step-by-step explanation:
A television was originally sold for $485. The television is now on sale for $388. What is the percent markdown?
Please answer ASAP I need to know
Here is my answer. I hope this is helpful.
The lengths of the sides of the triangle are 13cm, 14 cm, and 15 cm. Is the triangle a right triangle?
Yes or No?
Show your work to receive brainliest! (lots of points)
Answer:
No, it is not a right triangle.
Step-by-step explanation:
If the triangle was a right triangle, then the Pythagorean Theorem states that a^2 + b^2 = c^2. Let's test it on this triangle:
13^2 + 14^2 = 365, or c^2. If this is a right triangle, c should equal 15.
However, sqrt(365) = 19.1, which is not 15. So, the triangle is not a right triangle.
What angle is paired with angle D as an alternate interior angle?
Answer:
E
Step-by-step explanation:
i dont know at this point
Answer:
angle E
Step-by-step explanation:
Hello There!
We need to find an angle that is a pair with angle D and they have to be alternate interior angles
alternate interior angle properties:
On the inside of the parallel linescongruentIn the image below; represents a pair of alternate interior angles
These properties match angle D with angle E
Why? they are both on the inside of the parallels
They also happen to be congruent
Find the absolute value.
1 -31=___
-1 121=___
-1 -221=___
Answer:
-30
120
-222
Step-by-step explanation:
Find the equation of a line through the coordinate (3, -2) and parallel to the line represented y = 1/2x - 2.
Answer:
y=1/2x-7/2
Step-by-step explanation:
Since the line is parallel, we know that the slope is the same as the equation given: 1/2. So you just plug in the coordinates for x and y. So it would be -2=1/2(3)+b because we don't know what the intercept is for this line. If you simplify the equation you'll get -2=1.5+b. Then, you must isolate B, so you would get -3.5=b or -7/2.
Evaluate each expression
7 + 9=
43 - 5=
Gabe paid $ 120 for 3 shirts and 2 pairs of pants.
Each shirt cost $15.
Each pair of pants cost the same amount.
The equation 3s + 2p = 120 can be used to determine p, the cost of each pair of pants.
Gabe solved the equation using the following steps:
3s + 30=120
3s= 90
s= 30
Therefore, Gabe calculates the cost for each pair of pants as $30. Did Gabe find the cost for each pair of pants correctly?
If he did, justify each step of Gabe's solution using mathematical properties.
If he did not, describe any error Gabe made in his calculations and determine the price of each pair of pants.
Answer:
3s+2p= $120
each shirt is $15
3(15)+2p= $120
45+p=120
p= $75
each pair of pants is $75 and each shirt is $15
3s+2p= $120
3(15)+ 2(75)
okay, this is wrong, never mind, im confused-
welp ._.
Step-by-step explanation:
he doesnt add the pants to the equation and he finds the value of the shirts when we already know that value.