The image of (-3, -3) after dilation by a scale factor of 1/3 centered at the origin is (-1, -1).
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
Given, the image of (-3, -3) after dilation by a scale factor of 1/3 centered at the origin will be,
= (-3/3, -3/3).
= (-1, -1).
It has been shrinked by a factor of three the image became smaller.
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Using the slope formula, find the slope of the line through the points (0,0) and (4,12).
Answer:
3
Step-by-step explanation:
slop of given point is 3
omar buys a pack of 8 towels for 24.00 find the unit price in dollar per towel
Answer:
um 3
Step-by-step explanation:
whats 24 divided by 3 mate? 3
i mean all u need is a calculator im dumb as hell and i know that...
hope...this helps you :) have a great day
What is the equation of a line that is parallel to x−2y=−4 and passes through the point (0, 0)?
Enter your answer in the box.
Answer:
The equation of a line that is parallel to x−2y=−4 and passes through the point (0, 0) will be: [tex]x-2y=0[/tex]
Step-by-step explanation:
Given the line
[tex]x-2y=-4[/tex]
[tex]x+4 = 2y[/tex]
[tex]y=\left(\frac{1}{2}\right)x+2[/tex]
[tex]m_1=\frac{1}{2}[/tex]
so, the slope of the line parallel to the given line would have
the same slope as [tex]\frac{1}{2}=m[/tex], and passed through the point (0, 0).
Therefore, the equation of the required line is given by
[tex]y = mx+b[/tex]
[tex]y=\left(\frac{1}{2}\right)x+0[/tex]
[tex]y=\left(\frac{1}{2}\right)x[/tex]
[tex]2y=x[/tex]
[tex]x-2y=0[/tex]
Therefore, the equation of a line that is parallel to x−2y=−4 and passes through the point (0, 0) will be: [tex]x-2y=0[/tex]
A 12 foot ladder is leaning up against a wall. If the angel made between the ladder and the ground is 80 degrees. How far up can the ladder reach the wall? Round to the nearest tenth of a foot
Answer:
11.8 feetStep-by-step explanation:
Given
Length of the ladder = 12foot
angle of elevation = 80 degrees
Required
Height of the wall (opposite side)
The set up will form a right angled triangle where
length of the ladder is the hypotenuse
height of the wall is opposite;
Using SOH, CAH, TOA trig identity
According to SOH
sin 80 = opp/hyp
sin80 = opp/12
opp = 12sin80
opp = 11.82 feet
Hence the height of the wall is 11.8feet (to the nearest tenth)
URGENT WILL GIVE BRAINLIST, please answer these 3 questions
Answer:
Q.8:use the equation [tex]y-y_1=m(x-x_1)[/tex] [tex]y-(-4)=-6(x-(7))\\y+4=-6x+42\\y=-6x+38[/tex]Q.9:Find slope with [tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex] substitute and solve[tex]slope=\frac{(1)-(-3)}{(3)-(1)} =2[/tex] then as follows[tex]y-y_1=m(x-x_1)\\y-(1)=2(x-(3))\\y-1=2x-6\\y=2x-5[/tex] Q.10:Find slope [tex]slope=\frac{(12)-(2)}{(2)-(7)}=-2[/tex] then[tex]y-y_1=m(x-x_1)\\y-(2)=-2(x-(7))\\y-2=-2x+14\\y=-2x+16[/tex]What is the equation of the line though (2, -1) and (05)?
The to your problem is m = -3, I hope this really helps you :)
Y= -3x+5 that’s the answer I got
I need help ♀️What acronym help you decide order to multiply Binomials ?
Answer:
FOIL
Step-by-step explanation:
" is just a mnemonic. It helps some people to remember all the steps needed to multiply two binomials. It "makes sense" because it's methodical and gives the right answer.
You are a sales clerk in a clothing store. You receive a salary of $320 per week plus a 5% commission on all sales. Write an equation to represent your weekly salary. (Let y equal the weekly salary and x equal the amount of sales.) What are the slope and y-intercept of your equation?
Answer:
slope: 0.05
y-intercept: 320
Step-by-step explanation:
y is the total weekly salary and x is the sales
there is a constant salary of $320, which will be the constant in the equation.
y = mx + b
y = mx + 320
we know there is a 5% commission on all sale, which we can convert to the fraction 0.05.
y = .05x + 320
Now we can see that the slope is .05 and the y-intercept is 320
list five common multiples for 8 and 14
Answer:
56, 112, 168, 224, and more
Solve the equation tanxtan(x – 45°)=0 for 0° < x < 360°.
Answer:
\tan \left(\frac{\sin \left(x\right)-\cos \left(x\right)}{\cos \left(x\right)+\sin \left(x\right)}\right)
Step-by-step explanation:
I need help very important
Answer:
∠ EFG = 83°, ∠ GCE = 97°
Step-by-step explanation:
Since FE and FG are tangents to the circle then
∠ FGC and ∠ FEC are right angles
The sum of the angles in quadrilateral CEFG = 360°
Sum the 4 angles and equate to 360
3x + 11 + 90 + 5x - 23 + 90 = 360, that is
8x + 168 = 360 ( subtract 168 from both sides )
8x = 192 ( divide both sides by 8 )
x = 24
Thus
∠ EFG = 3x + 11 = 3(24) + 11 = 72 + 11 = 83°
∠ GCE = 5x - 23 = 5(24) - 23 = 120 - 23 = 97°
Which statement correctly compares the function shown on this graph with the function y =5x+5.
A. The function shown on the graph has a greater rate of change, but a lower starting point.
B. The function shown on the graph has a greater rate of change and a higher starting point.
C. The function shown on the graph has a smaller rate of change, but a higher starting point
D. The function shown on the graph has a smaller rate of change and a lower starting point.
D. The function shown on the graph has a smaller rate of change and a lower starting point. Sorry if incorrect i hope i helped.
I need help please (+5)+(-2)=
Write the simplified form of (-0.5z + 0.9z) – (-0.3z + 0.9z) please help me im confused
do u like beans?Step-by-step explanation: hope it helps
Answer:
-0.2z
Step-by-step explanation:
-0.5z + 0.9z - ( -0.3z+0.9z) open paranthesis and change the sign of all terms
-0.5z + 0.9z + 0.3z - 0.9z combine terms
-0.5z+0.3z= -0.2z
Shawn said that in standard notation,
7.142 x 107 will have 7 zeros after the
2 because the exponent is a 7. Is he
correct? Why or why not?
Answer:
This is incorrect.
Step-by-step explanation:
You move the decimal 7 places to the right after the 7. Since 2 is the third digit, you're adding 4 more zeros.
A bookstore had 45 copies of a magazine. Yesterday, it sold 2/3 of them. Today, it sold 2/5 of what remained. How many copies does the bookstore have left?
Answer:
After the first day, 1/3 of the original amount remained:
... (1/3)·45 = 15
After the second day, 2/3 of that amount remained:
... (2/3)·15 = 10
The bookstore has 10 copies left.
Step-by-step explanation:
Answer:
Step-by-step explanation:
45 copies and sold 2/3= 30 sold so 15 left
15 copies and sold 2/5= 6 sold so 9 left
a UPS delivery man earns $0.60 per mile driven.How many miles did he drive if he received at $42
Answer:
70 miles
Step-by-step explanation:
Divide 42 by 0.60 = 70
Multiply 70 * 0.60 = 42.
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
a I think
Step-by-step explanation:
I dont know how to explain if its not im sorry
|10+4x|<14 how do you solve this?
Answer:
-6 < x < 1
Step-by-step explanation:
-14 < 10 + 4x < 14
Subtract 10 from both sides
-24 < 4x < 4
Divide both sides by 4
-6 < x < 1
Answer: - 6 < x < 1
|10 + 4x| < 14
⇔ -14 < 10 + 4x < 14
⇔ -14 - 10 < 4x < 14 - 10
⇔ - 24 < 4x < 4
⇔ -24/4 < x < 4/4
⇔ - 6 < x < 1
Step-by-step explanation:
total cost spent at a play avries directly with how many tickets are purchased. if any buys 5 tickets and spends 30 dollars. how much would 25 tickets cost
Answer:
$150
Step-by-step explanation:
5 x 6 = 30
25 x 6 = 150
Answer:
If it is a solution of equations, then plug your solution into the equations you are working on to make sure that all equations are satisfied by your solution.
Step-by-step explanation:
I hope that this was helpful.
15 time the difference of 14 and 6
Answer:
120
Step-by-step explanation:
14-6=8x15=120
Use substitution to find an exponential function, y= a - b" that passes through
(2, 16) and (5, 1.024).
Answer:
[tex]y = 4^x[/tex]
Step-by-step explanation:
Given
[tex](2,16)[/tex]
[tex](5,1,024)[/tex]
Required
Determine the exponential function [tex]y = a.b^x[/tex]
In [tex](2,16)[/tex]
[tex]x=2[/tex] and [tex]y = 16[/tex]
Substitute these values in [tex]y = a.b^x[/tex]
[tex]16 = a.b^2[/tex] --- (1)
In [tex](5,1,024)[/tex]
[tex]x = 5[/tex] and [tex]y = 1024[/tex]
Substitute these values in [tex]y = a.b^x[/tex]
[tex]1024 = a.b^5[/tex] --- (2)
Divide (2) by (1)
[tex]\frac{1024}{16} = \frac{a.b^5}{a.b^2}[/tex]
[tex]\frac{1024}{16} = \frac{b^5}{b^2}[/tex]
[tex]64 = \frac{b^5}{b^2}[/tex]
Apply second law of indices
[tex]64 = b^{5-2[/tex]
[tex]64 = b^3[/tex]
Express 64 as an exponent of 3
[tex]4^3 = b^3[/tex]
[tex]4 = b[/tex]
[tex]b = 4[/tex]
Substitute 4 for b in (1)
[tex]16 = a.b^2[/tex]
[tex]16 = a * 4^2[/tex]
[tex]16 = a * 16[/tex]
[tex]16 = 16a[/tex]
Solve for a
[tex]a=\frac{16}{16}[/tex]
[tex]a = 1[/tex]
Substitute 1 for a and 4 for b in [tex]y = a.b^x[/tex]
[tex]y = 1 * 4^x[/tex]
[tex]y = 4^x[/tex]
The exponential function is given by y = 100(0.4)ˣ
An exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the factor.
At point (2, 16):
16 = ab² (1)
At point (5, 1.024):
1.024 = ab⁵ (2)
Dividing equation 2 by equation 1:
b³ = 0.064
b = 0.4
16 = a(0.4)²
a = 100
The exponential function is given by: y = 100(0.4)ˣ
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2. need help with this question
Answer:
First = Poppy seed = 3x10^-4 grams = 0.0003 grams
Second = sesame seeds = 3.64x10^-6 grams = 0.00364 grams
third = 250 pumpkin seeds 21 grams = one seed 0.084 grams
Step-by-step explanation:
3.64x10^-6 kilograms *1000gr/Kilograms = 0.00364 grams
21/250 = 0.0084 grams one seeds
[tex]the \: angle \: of \: measure \: \frac{31\pi}{6} \: lies \: in \: which \: quadrant[/tex]
Answer:
3rd quadrant
Step-by-step explanation:
First we just convert the angle from radians to degrees[tex]\frac{31\pi radians }{6}*\frac{180degrees}{\pi radians} =\frac{31*180}{6} degrees=930degrees[/tex] Now that's too big, all this means is if we start rotating from the positive y-axis in a circle we will cross the starting point 2 times, 2 full circles;[tex]930degrees-360degrees=570degrees\\570degrees-360degrees=210degrees[/tex] Now in which quadrant it 210 degrees?0 degrees to 90 degrees is 1st quadrant90 degrees to 180 degrees is 2nd quadrant180 degrees to 270 degrees is 3rd quadrant270 degrees to 360 degrees is 4th quadrantSo our answer is the 3rd quadrant.Solve for u.
6u=78
U =
Which polynomial function could be represented by the graph below?
Answer:
Option B: f(x) = 2x2 + 2x – 4
Step-by-step explanation:
f(x)=x²-4x-5 is the polynomial function of the given graph.
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
We need to find the polynomial of the given graph.
Graph is a mathematical representation of a network and it describes the relationship between lines and points.
When x=0, then y should be -5.
This can be satisfied by f(x)=x²-4x-5 and f(x)=-x²-4x-5
Now let us find the value of y when x is 2.
When x is 2 the value of y should be -9 by the given graph
f(x)=x²-4x-5
=4-8-5
=-9
Hence, f(x)=x²-4x-5 is the polynomial function of the given graph.
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What is the inverse of f(x) = sqft x+ 3
Answer:
[tex]f^{-1} (x)=x^{2} -3[/tex]
Step-by-step explanation:
Given the function
[tex]f\left(x\right)=\sqrt{x+3}[/tex]
We can find the inverse function by exchanging x and y, and then solve for y.
[tex]y=\sqrt{x+3}[/tex]
Replace x with y.
[tex]x=\sqrt{y+3}[/tex]
square both sides
[tex]x^2=y+3[/tex]
[tex]y=x^2-3[/tex]
Hence,
[tex]f^{-1} (x)=x^{2} -3[/tex]
(-8)+(-19) i will give brainllest
Answer:
-27
Step-by-step explanation:
Answer:
-27 maybeeeeeeeeeeeee
1. What absolute value expression can be written to determine the distance between 63 feet above sea level and 48 feet below sea level?
Given:
The distance between 63 feet above sea level and 48 feet below sea level.
To find:
The absolute value expression for the given situation.
Solution:
We have,
Distance above the sea level = 63 feet
Distance below the sea level = -48 feet
Here, negative sign represents the distance in below the sea level.
So, absolute value expression that can be written to determine the distance between 63 feet above sea level and 48 feet below sea level is
[tex]Distance=|63-(-48)|[/tex]
[tex]Distance=|63+48|[/tex]
[tex]Distance=|111|[/tex]
[tex]Distance=111[/tex]
Therefore, the required absolute expression is [tex]|63-(-48)|[/tex] and distance is 111 feet.
which point on the number line best represents the square root of 22
Answer:
4.7
Step-by-step explanation:
4.69041575982
Round to 4.7