Answer:
3,-1
Step-by-step explanation:
The image of the point (-1,3) after a rotation of 270° counterclockwise about the origin is (3, -1).
The given coordinate point is (-1, 3).
What is a rotation of 270° counterclockwise about the origin?When rotating a point 270 degrees counterclockwise about the origin our point A(x, y) becomes A'(y,-x). This means, we switch x and y and make x negative.
The point (-1, 3) is rotated 270° counterclockwise about the origin becomes (3, -1).
Therefore, the image of the point (-1,3) after a rotation of 270° counterclockwise about the origin is (3, -1).
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Select all that apply.
The following graph shows an ellipse that suffered several transformations. Which of the following two sets of combinations of transformations could map ellipse 1 into ellipse 2? You may choose more than one correct answer.
Translation 3 units up and 7 units to the right
Reflection along the y-axis and translation 3 units to the left
Rotation of 90° clockwise by the origin O, and translation 2 units to the left
Reflection along y = -x, and translation 6 units to the right
Answer:
Hello,
Answer :Rotation of 90° clockwise by the origin O, and translation 2 units to the left
Step-by-step explanation:
a ladder 7.5m long is leaning against a wall if the foot of the ladder is 3m from the wall how far up the wall does the ladder reach to reach the nearest metres
Answer:
7 m
Step-by-step explanation:
Use the pythagorean theorem.
a^2+b^2=c^2
7.5 is your hypotenuse and 3 is one of your legs.
7.5^2 - 3^2 = 47.25
the sqrt of 47.25 is 6.873863542, therefore the nearest meter it reaches is 7.
Will Mark Brainlest Help Please Please
[tex]\\ \sf\longmapsto \left[{3a+b\atop a-b}\:\:\:{3c-d\atop a+b+d}\right]=\left[{3\atop 5}\:\:\;{6\atop 2d-1}\right][/tex]
Now constructing equations
[tex]\\ \sf\longmapsto 3a+b=3\dots(1)[/tex]
[tex]\\ \sf\longmapsto a-b=5\dots(2)[/tex]
[tex]\\ \sf\longmapsto 3c-d=6\dots(3)[/tex]
[tex]\\ \sf\longmapsto a+b+d=2d-1\dots(4)[/tex]
Adding eq(1) and (2)
[tex]\\ \sf\longmapsto 4a=8[/tex]
[tex]\\ \sf\longmapsto a=\dfrac{8}{4}[/tex]
[tex]\\ \bf\longmapsto a=2[/tex]
Put the value in eq(2)
[tex]\\ \sf\longmapsto a-b=5[/tex]
[tex]\\ \sf\longmapsto b=a-5[/tex]
[tex]\\ \sf\longmapsto b=2-5[/tex]
[tex]\\ \bf\longmapsto b=-3[/tex]
put the values in eq(4)
[tex]\\ \sf\longmapsto a+b+d=2d-1[/tex]
[tex]\\ \sf\longmapsto 2+(-3)+d=2d-1[/tex]
[tex]\\ \sf\longmapsto d-1=2d-1[/tex]
[tex]\\ \sf\longmapsto d-2d=-1+1[/tex]
[tex]\\ \sf\longmapsto -d=0[/tex]
[tex]\\ \bf\longmapsto d=0[/tex]
Put the value in eq(3)
[tex]\\ \sf\longmapsto 3c-d=6[/tex]
[tex]\\ \sf\longmapsto 3c-0=6[/tex]
[tex]\\ \sf\longmapsto 3c=6+0[/tex]
[tex]\\ \sf\longmapsto 3c=6[/tex]
[tex]\\ \sf\longmapsto c=\dfrac{6}{3}[/tex]
[tex]\\ \sf\longmapsto c=2[/tex]
Madeline is renting bowling shoes for $3.50 every time she goes bowling. She could get a good pair of bowling shoes for $68.
If she goes once every two weeks during the year, would it be less expensive to rent or buy?
A Buy
B Rent
Answer:
rent would be cheaper
Step-by-step explanation:
1.50 x 26 = $39 or $48 for a pair
it would be nine dollars cheaper to rent than to buy
Iit would be less if she rent the shoes.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Madeline is renting bowling shoes for $3.50 every time she goes bowling.
she goes once every two weeks during the year.
In a year there are 52 weeks.
As she is going once every two weeks during the year, so let us divide 52 by 2, 52/2=26
Rent for each bowling is 3.50
So for 26 times it would be 26×3.50
If she goes once every two weeks during the year, then the rent amount will be $91.
As She could get a good pair of bowling shoes for $68.
91 is greater than 68
So, it would be less expensive if she rent the shoes.
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A radio-active atom has a half-life of a day. This means that it decays by 1/2 each day. Write an equation for this expinential function if you start with 64 grams
Answer:
y = 64(0.5)ˣ
Step-by-step explanation:
We can write this as an exponential decay function. The formula for that is y = a(1 - b)ˣ where a is the initial value and b is the decay factor. In this case, a = 64 and b = 1/2 or 0.5 so the final answer is y = 64(0.5)ˣ.
3 Question
Select the correct answer.
What is the value of this expression when a = 2 and b = -3?
a3 - 63
5
Hola
O
O
3
Answer:
The qs is not clear.
Simply put values of a and b and you will get the ans.
Step-by-step explanation:
Find the volume of the prism. (Image down below)
Answer:
Option (A)
Step-by-step explanation:
In the figure attached,
A prism has been given with two triangular bases.
If we put this prism with one of the triangular face as the base of the prism, height of the prism will be 6 in.
Volume of a prism is calculated with the formula,
Volume = (Area of the triangular base) × Height
Area of the triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height of the triangular base})[/tex]
= [tex]\frac{1}{2}(3)(5)[/tex]
= 7.5 in²
Volume of the prism = 7.5 × 6
= 45 in³
Therefore, Option (A) will be the answer.
Tom ate 3/8 of a pizza, and his brother ate 2/5 of the remainder. What fraction of the pizza was left?
Answer:
3/8 is left
Step-by-step explanation:
Tom ate 3/8 of the pizza
Take 1 - 3/8
8/8 - 3/8 = 5/8
5/8 of the pizza is left
The brother at 2/5 of the remainder
5/8 * 2/5
2/8
1/4
His brother at 1/4 of the of the pizza
5/8 - 1/4
5/8 - 2/8
3/8 is left
The first term of a sequence is 1 and every term after the first one is 1 more than the square of the preceding term. What is the fifth term?
Answer:
677
Step-by-step explanation:
the sequence is 1, 2, 5, 26, 677
the first term is 1
to find the 2nd term, do: [tex]1^{2} +1=2[/tex]
3rd: [tex]2^{2} +1=4+1=5[/tex]
4th: [tex]5^{2} +1 =25 +1=26[/tex]
5th: [tex]26^{2} +1=676+1=677[/tex]
The solutions to \[2x^2 - 10x + 13 = 0\]are $a+bi$ and $a-bi,$ where $a$ and $b$ are positive. What is $a\cdot b?$[tex]The solutions to\[2x^2 - 10x + 13 = 0\]are $a+bi$ and $a-bi,$ where $a$ and $b$ are positive. What is $a\cdot b?$[/tex]
In decimal form, this is equivalent to 1.25
=============================================
Work Shown:
The given equation 2x^2-10x+13 = 0 matches the form ax^2+bx+c = 0
We see that a = 2, b = -10, c = 13. Plug those values into the quadratic formula to solve for x.
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-10)\pm\sqrt{(-10)^2-4(2)(13)}}{2(2)}\\\\x = \frac{10\pm\sqrt{-4}}{4}\\\\x = \frac{10\pm2i}{4}\\\\x = \frac{2(5\pm i)}{2*2}\\\\x = \frac{5\pm i}{2}\\\\x = \frac{5}{2} \pm \frac{1}{2}i\\\\x = \frac{5}{2} + \frac{1}{2}i \ \text{ or } \ x = \frac{5}{2} - \frac{1}{2}i\\\\[/tex]
The two solutions are in the form [tex]a \pm bi[/tex] where a = 5/2 and b = 1/2
Therefore a*b = (5/2)*(1/2) = 5/4 = 1.25
Consider the function represented by 9x + 3y = 12 with x as the independent variable. How can this function be
written using function notation?
O FID = - Šv
O f(x) = - 3x + 4
Of(x) = -x +
O fly) = -34+4
Answer:
f(x) = - 3x + 4
Step-by-step explanation:
Note that y = f(x)
Rearrange making y the subject
9x + 3y = 12 ( subtract 9x from both sides )
3y = - 9x + 12 ( divide all terms by 3 )
y = - 3x + 4 , that is
f(x) = - 3x + 4
The plot of land illustrated in the accompanying diagram has a perimeter of 34 yards. Find the length, in yards, of each side of the figure
Answer:
Length of x+3= 6.75
Length of 4x=15
Length of 3x-1=10,25
Step-by-step explanation:
First make an equation and find x x+3+3x+1+4x=34Then solve for x, answer will be 3,753,75 represents xThe sale price for a jacket that regularly costs $102.00 is now $74.00. With sales tax, a customer pays $82.40.
v+19= 36
----------------
Answer:
17
Step-by-step explanation:
v+19=36
v=36-19
v=17
The value of -48 - x is positive. What are two possible values of x?
Show your work.
Please help I will give you Brainlyest
Answer:
-49
-50
Step-by-step explanation:
When a negative number subtracts another negative number, the number becomes positive.
For example: -48-(-49)=1
-48-(-49) becomes -48+49=1
I have 4 different single digit numbers.
The last digit is half the third digit and one-fourth (one quarter) the second digit.
The first digit is the second odd whole number.
What are my numbers and their order?
Answer:
Step-by-step explanation:
The third digit can be 8 6 4 2 or 0
The last digit can be 4 3 2 1 or 0
The second digit 8 4 0 which makes the last digit 2 1 0
The first digit is 3
The choices are
The first digit is 3. That's all you can be sure of. Lets assume zero is not a choice.
3 8 4 2
3 4 2 1
find the co efficient of m in the expression of ( m/2-3/2) ( m+2/3)
Answer:
Step-by-step explanation:
We will get m when we multiply (m/2)*(2/3) & m *(-3/2)
[tex]\frac{m}{2}*\frac{2}{3}+m*\frac{-3}{2}=\frac{m}{3}-\frac{3m}{2}\\\\\\=m(\frac{1}{3}-\frac{3}{2})\\\\\\=m(\frac{2}{6}-\frac{9}{6})\\\\\\=\frac{-7}{6}m[/tex]
Coefficient of m = -7/6
1.Given the function f(x) = -2c + cx - x^2? and f^-1(5) = -1, find c
Here we have a quadratic function and we want to find the value of a constant with a given restriction.
We will find that c = 8.
So we have the function:
[tex]f(x) = -2c + cx - x^2[/tex]
We know that:
[tex]f(5)^{-1} = -1 = \frac{1}{-2c + c\cdot 5 - (5)^2}[/tex]
Notice that the above equation means that:
[tex]-2c + c\cdot5 - (5)^2 = -1[/tex]
Then we just need to solve the above equation for c:
[tex]-2c + 5c - (5)^2 = -1\\\\(-2 + 5)\cdot c - 25 = -1\\\\3\cdot c = -1 + 25\\\\3\cdot c = 24\\\\c = 24/3 = 8[/tex]
So we found that the value of c is 8.
This means that the function is:
[tex]f(x) = -16 + 8\cdot x - x^2[/tex]
You can see the graph below:
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i need help with this question please :(
Answer:
C
Step-by-step explanation:
[tex](2^7 \cdot 3^{-5}\cdot 9)^4[/tex]
Use the Power of a Product Property, where:
[tex](ab)^n=a^nb^n[/tex]
Therefore:
[tex](2^7 \cdot 3^{-5}\cdot 9)^4\\=(2^7)^4\cdot(3^{-5})^4\cdot(9)^4\\=2^{28}\cdot3^{-20}\cdot9^4[/tex]
The radius of a circle is 3 cm. Find its area in terms of pi
Answer:
A = 9 pi cm^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2 where r is the radius
r=3
A = pi (3)^2
A = 9 pi cm^2
Area of circle = πr²
Area = π3²
Area = 9π
There area in terms of pie is 9πcm²
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What is the value of X?
Answer:
I think the answer for this question is 2.24cm
convert 0.129 into a percentage
Answer:
12.9%
Step-by-step explanation:
Answer:
0.129%
Step-by-step explanation:
Just add the percent sign
Appreciate answers and any help!
Logan wants to know how many skateboards have defective parts. He inspects 20,000 skateboards and keeps track of the number of defects per board. Use his probability distribution table to find the expected value for defects on a skateboard.
To find the expected value of the distribution, we multiply each outcome by it's probability. Doing this, we get that the expected value of defects on a skateboard is of [tex]\frac{4}{25}[/tex].
Outcomes and probabilities:
0 defects, 9/10 probability
1 defect, 1/20 probability
2 defects, 1/25 probability
3 defects, 1/100 probability.
Expected value:
[tex]E(X) = 0\frac{9}{10} + \frac{1}{20} + 2\frac{1}{25} + 3\frac{1}{100} = \frac{1}{20} + \frac{2}{25} + \frac{3}{100} = \frac{5 + 8 + 3}{100} = \frac{16}{100}[/tex]
Dividing both numerator and denominator by 4:
[tex]\frac{4}{25}[/tex]
Thus, the expected value of defects on a skateboard is of [tex]\frac{4}{25}[/tex].
A similar problem is given at: https://brainly.com/question/23156292.
If x is 2/3 of y and y is 3/4 of z, what is the ratio of:x? *
a) 1:2
b) 1:1
c) 2:1
d) 3:2
e) 4:3
Answer:
Answer is option C
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Evaluate the problem
Answer:
.6
Step-by-step explanation:
First find < ABC
Since this is a right triangle, we can use trig functions
tan < ABC = opp / adj
tan < ABC = 2/4
Take the inverse tan of each side
tan ^-1 tan < ABC = tan ^-1 2/4
< ABC = 26.56505118
Multiply by 2
53.13010235
Take the cos
cos (53.13010235)
.6
The shape on the left is translated to the shape on the right.
Which statement about the transformation is true?
A.The name of the shape on the right is MNOPQRS' because it is the image of the shape on the left.
B.The name of the shape on the right is MNOPORS' because it is the pre-image of the shape on the left.
C.The name of the shape on the right is M’N’O’P’Q’R’S because it is the pre-image of the shape on the left.
D. The name of the shape on the right M’N’O’P’Q’R’S
Because it is the pre-image if the shape in the left.
Answer:
sorry i am late but the answer is The name of the shape on the right is M prime N prime O prime P prime Q prime R prime S prime because it is the image of the shape on the left. and if you dont want to read that its D
hope it helped anyone :)
The name of the shape on the right is M’N’O’P’Q’R’S' because it is the pre-image of the shape on the left
TransformationTransformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Translation is the movement of a point up, down, left or right.
The name of the shape on the right is M’N’O’P’Q’R’S' because it is the pre-image of the shape on the left
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6x + 11 + 3x .........................................
Answer: I'm assuming you want this problem simplified.
6x + 11 + 3x
Combine like terms: 9x + 11
Your expression now looks like: 9x + 11
There is nothing left to simplify, so you're done!
Hope this helps!
Answer:
9x+11
Step-by-step explanation:
6x + 11 + 3x
Combine like terms
9x+11
HELP !!!! Please.. ASAP
The answers are summarized below.
Write the Roman Numeral CLXIV in standard form.
A. 169
B. 166
C. 164
D. 159
Answer:
It's C, 164
Step-by-step explanation:
Nine new employees, two of whom are married to each other, are to be assigned nine desks that are lined up in a row. If the assignment of employees to desks is made randomly, what is the probability that the married couple will have nonadjacent desks
Answer:
P = 0,88 or P = 88 %
Step-by-step explanation:
The probability of having a married couple in nonadjacent desks is the total number of probabilities minus the probabilities of having them in adjacent places divide by total number of outcomes
The total possibilities (outcomes) of 9 elements in a row is:
P(₉) = 9!
P(₉) = 9*8*7*6*5*4*3*2*1
P(₉) = 362880
And the outcomes in which they are adjacent to each other is:
We consider them as one unit them we in this situation have 8 elements
P(₈) = 8!
P(₈) = 8*7*6*5*4*3*2*1
P(₈) = 40320
Then the probability that the married couple will have nonadjacent desks is:
P = P(₉) - P(₈) / P(₉)
P = 362880 - 40320 / 362880
P = 322560/ 362880
P = 0,88 or P = 88 %