Answer: (1.5,-3) and (4.5, -3)
Step-by-step explanation:
The dilation rule to dilate a point (x,y) by a scaler factor of k is given by :0
[tex](x,y)\to (kx,ky)[/tex]
Given: A Line Segment has the points (1,-2), and (3,-2).
Scale factor = 1.5
Then, the new points after dilation will be :
[tex](1,-2)\to(1.5\times1,\ 1.5\times-2)=(1.5,\ -3)[/tex]
[tex](3,-2)\to (1.5\times3,1.5\times-2)=(4.5,\ -3)[/tex]
Hence, the new points after its dilated by a scale factor of = (1.5,-3) and (4.5, -3)
What is the slope of the following graph? M=
Answer:
-2/3
Step-by-step explanation:
We have two points ( 0,3) and ( 3,1)
We can use the slope formula
m = (y2-y1)/(x2-x1)
= (1-3) /(3-0)
= -2/3
Answer:
-2/3
Step-by-step explanation:
Two points are given on the graph:
(0, 3) and (3, 1)
Use slope formula.
m = rise/run
m = (y₂ - y₁)/(x₂ - x₁)
x₁ = 0
y₁ = 3
x₂ = 3
y₂ = 1
m = (1 - 3)/(3 - 0)
m = -2/3
The slope of the line is -2/3.
Please answer ASAP. The question is down below. thanks.
Answer:
(-2,-4)
Step-by-step explanation:
The vertex of a parabola is it's lowest (or highest, but lowest in this context) point. Your lowest point is (-2,-4), so that is your answer.
Write as an algebraic expression: the product of a number and 6
i’m desperate plzzz
Answer:
6n or 6 x n
Step-by-step explanation:
write a compound inequality that the graph could represent
Answer:
second option
Step-by-step explanation:
Sherman entered the following values into the TVM Solver on his graphing
calculator
N=
I%=3.7
PV=-49
PMT=0
FV=98
P/Y=1
C/Y=1E11
PMT:ENU BEGIN
What does the rule of 69 predict will be the approximate value of N?
A. 13.2
B. 18.6
C. 19.5
D. 26.5
Answer:
B. 18.6
Step-by-step explanation:
The 'rule of 69' says the value will be doubled in 69/i years, where i is the annual interest rate in percent (compounded continuously). The interest rate is given as 3.7%, so the prediction is
n = 69/3.7 = 10.649
n ≈ 10.6
Pentagon A’B′C′D′E’, is the image of pentagon ABCDE under a dilation with a scale factor of 5/2
Answer:
The length of segment A'E' is 5 units
Explanation:
From the included graph the coordinates of the points A and E, in the pentagon ABCDE with reference to point A are;
A- (0, 0)
E- (0, 2)
The length of the segment AE = √((2-0)² + (0 - 0)²) = √2² = 2
When a pentagon ABCDE is dilated to pentagon A'B'C'D'E' with a scale factor of 5/2, we have;
Length of segment A'E' = 5/2 × Length of segment AE
Therefore;
Length of segment A'E' = 5/2 ×2 = 5 units.
The length of segment A'E' is 5 units.
This question is based on distance formula.The length of segment A'E' is 5 units.
Given:
Pentagon A’B′C′D′E’, is the image of pentagon ABCDE under a dilation with a scale factor of 5/2.
From the given graph, the coordinates of the points A and E, in the pentagon ABCDE with reference to point A are;
A- (0, 0)
E- (0, 2)
The length of the segment AE = [tex]\sqrt{(2-0)^{2} +(0-0)^{2} }=\sqrt{2^{2} } =2[/tex]
When a pentagon ABCDE is dilated to pentagon A'B'C'D'E' with a scale factor of 5/2, we have;
Length of segment A'E' = 5/2 × Length of segment AE
Therefore;
Length of segment A'E' = 5/2 ×2 = 5 units.
Therefore, the length of segment A'E' is 5 units.
For more details, please refer to this link:
https://brainly.com/question/23700761
What is the simplified form of k-5+7
Answer:
k+2 or k=2
Step-by-step explanation:
combine -5 and 7 to get your answer
Answer:
K+2
Step-by-step explanation:
K - 5 + 7 ....add -5 and 7
K+2
What is the length of segment AB?
12
10-B
8-
6
А
2-
0
0
-10-8-6-4
- 2
2
4
6
8 10
--2-
<
05
06
O8
10
ous Question
Answer:
[tex]AB = 10 units[/tex]
Step-by-step explanation:
The line of segment AB can be calculated using distance formula, [tex] d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} [/tex] , to calculate the distance between point A(6, 2) and point B(0, 10).
A(6, 2) can be (x1, y1),
B(0, 10) can be (x2, y2)
[tex] d = \sqrt{(0 - 6)^2 + (10 - 2)^2} [/tex]
[tex] d = \sqrt{(-6)^2 + (8)^2} [/tex]
[tex] d = \sqrt{36 + 64} [/tex]
[tex] d = \sqrt{100} [/tex]
[tex] d = 10 [/tex]
simplify:
[tex](2x) ^{ \frac{1}{2} } \times (2x ^{3} ) ^{ \frac{3}{2} } [/tex]
Answer:
[tex]\huge\boxed{(2x)^\frac{1}{2}\times(2x^3)^\frac{3}{2}=4x^5}[/tex]
Step-by-step explanation:
[tex](2x)^\frac{1}{2}\times(2x^3)^\frac{3}{2}\qquad\text{use}\ (ab)^n=a^nb^m\\\\=2^\frac{1}{2}x^\frac{1}{2}\times2^\frac{3}{2}(x^3)^\frac{3}{2}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=2^\frac{1}{2}x^\frac{1}{2}\times2^\frac{2}{3}x^{(3)(\frac{3}{2})}=2^\frac{1}{2}x^\frac{1}{2}\times2^\frac{2}{3}x^\frac{9}{2}\\\\\text{use the commutative and associative property}\\\\=\left(2^\frac{1}{2}\times2^\frac{3}{2}\right)\left(x^\frac{1}{2}\times x^\frac{9}{2}\right)\qquad\text{use}\ a^n\times a^m=a^{n+m}[/tex]
[tex]=2^{\frac{1}{2}+\frac{3}{2}}x^{\frac{1}{2}+\frac{9}{2}}=2^\frac{1+3}{2}x^{\frac{1+9}{2}}=2^\frac{4}{2}x^\frac{10}{2}=2^2x^5=4x^5[/tex]
Answer:
[tex] 4x^5 [/tex]
Step-by-step explanation:
[tex] (2x)^\frac{1}{2} \times (2x^3)^\frac{3}{2} = [/tex]
[tex]= (2x)^\frac{1}{2} \times (2x \times x^2)^\frac{3}{2}[/tex]
[tex]= [(2x)^\frac{1}{2} \times (2x)^\frac{3}{2}] \times (x^2)^\frac{3}{2}[/tex]
[tex]= (2x)^{\frac{1}{2} + \frac{3}{2}} \times x^{{2} \times \frac{3}{2}}[/tex]
[tex]= (2x)^{\frac{4}{2}} \times x^{\frac{6}{2}}[/tex]
[tex] = 2^2x^2 \times x^3 [/tex]
[tex] = 4x^5 [/tex]
Find the value of x for the triangle.
37
37
45°
45°
Answer:
[tex]x=37\,\sqrt{2}[/tex]
Step-by-step explanation:
Notice you are dealing with a right angle triangle, since one of the angles measure [tex]90^o[/tex]. Now, what you are asked to find is the hypotenuse of that triangle, given an angle of [tex]45^o[/tex] and the opposite side: 37 units. Then, we can use for example the sine function which relates opposite, and hypotenuse:
[tex]sin(45^o)=\frac{opposite}{hyp} \\hyp=\frac{opposite}{sin(45^o)} \\hyp=\frac{37}{\sqrt{2}/2}\\hyp=37\,\sqrt{2}[/tex]
Assume that adults have it scores that are normally distributed with a mean of 100 standard deviation of 15 find probability that randomly selected adult has an Iq between 89 and 111
Answer:
0.5346
Step-by-step explanation:
Find the z-scores.
z = (x − μ) / σ
z₁ = (89 − 100) / 15
z₁ = -0.73
z₂ = (111 − 100) / 15
z₂ = 0.73
Find the probability.
P(-0.73 < Z < 0.73)
= P(Z < 0.73) − P(Z < -0.73)
= 0.7673 − 0.2327
= 0.5346
Which transformations can be used to carry ABCD onto itself? The point of rotation is (3, 2). Check all that apply. A. Reflection across the line y = 2 B. Rotation of 180 C. Rotation of 90 D. Translation two units up
Answer: rotate 180 degrees and reflection across the line y=2
Step-by-step explan
Answer:
Step-by-step explanation:
Round the following numbers to 1 significant figure:
a) 25 637
b) £2.51
c)9877 m
Answer:
b
Step-by-step explanation:
you need to round 2.51 to 3 because it was the correct answer
I really need help with this
Answer:
Our system of equations is:
y+2x+1=04y-4x²-12x = -7We are looking for x
Let's express y using x
y+2x+1=0y= -2x-1Replace x in the second equation with the result
4y-4x²-12x = -74(-2x-1)-4x²-12x = -7 -8x-4-4x²-12x = -7 -8x-4x²-12x = -7+4-4x²-20x = -3-4x²-20x+3 = 0 multiply by -1 to get rid of the - signs with x4x²+20x-3=04x²+20x+3=0 is a quadratic equation
Let Δ be our discriminant
a= 4b= 20c= -3Δ= 20²-4*4*(-3)
Δ=448 > 0 so we have two solutions for x
let x and x' be the solutions
x = [tex]\frac{-20-\sqrt{448} }{8}[/tex]= -5.145 ≈ -5.15x'= [tex]\frac{-20+\sqrt{448} }{8}[/tex]= 0.145≈ 0.15so the solutions are:
-5.15 and 0.15
Please help ASAP! If correct will mark brainliest
Answer:
5
Step-by-step explanation:
We need to find the value of AP
First, lets compare the perimeters:
P_ABC= AB+BC+AC= 45P_ABP= AB+BP+AP = 25P_APC= AP+AC+PC= 30Sum of the perimeters of smaller triangles:
P_ABP+P_APC= AB+BP+AP+ AP+AC+PCAs BP+PC= BC we can put it as:
AB + BC +AC + 2APand
P_ABC+2APPlug in values of perimeters:
25+30= 45+ 2AP2AP= 10AP= 10/2AP= 5Answer is: 5
Pls help ASAP will make brailist
Answer:
B. 1296 in.^2
Step-by-step explanation:
The rectangles are similar, and sides ST and YZ are corresponding sides.
The linear scale factor is k = YZ/ST = 24/8 = 3
The area scale factor is k^2 = 3^2 = 9
A = 144 sq in. * k^2 = 144 sq in. * 9 = 1296 sq in.
Answer: B. 1296 in.^2
Answer:
4)1,296in^2
5)510.4ft
Step-by-step explanation:
4)
24/8=3 This is the dilation
144/8=18 This is the side length for QRST
18*3=54 The side length for WXYZ
24*54=1296 The area of WXYZ
5)
319*8/5 Your fence with a scale factor of 8/5
319*1.6 Changing 8/5 into fraction form
319*1.6=510.4 The length of the friend's fence.
Hope this helps. I could not see the end of the last question so I am sorry if it is not written properly.
Have a good day!
For every 2 males birds in a birdcage, there are 5 females. What is the ratio of
males to females? *
Answer:
2:5
Step-by-step explanation:
The structure of a ratio is x:y.
So all you have to do is place the former as the first digit and the latter as the second and separate them by a colon.
Robert buys $3 shirts at $16.90 each, and a pair of jeans for $20.50. The shop has a sale on, and so he receives a $7.12 discount.
Write and solve a numerical expression for how much he spends in total.
Answer:
64.08
Step-by-step explanation:
3^16.90+1*20.50-7.12
Which expression can be used to determine the slope of the linear function represented in the table?
х
0
у
5
9
4
9-5
4-0
O
4-0
9-5
o
5-0
9-4
O
9-4
5-0
Answer:
to find the slope of a linear function, there is only one formula
this formula requires two points, which are stated in tables and graphs alike
these points do not need to be one after the other as it is slope and slope predicts what the next point graphed will be.
Formula for Slope:
y2 - y1______x2 - x1this should help. take any two points and substitute for each; y values in the correct spots and x values in their correct spots
make sure to put the values of second point where it is labelled y2 and x2 And make sure to substitute first point values in those labelled y1 and x1
It is important to remember that if this becomes a fraction, SIMPLIFY
We can write the slope of the function as -
{m} = (9 - 5)/(4 - 0).
What is function?A function is a relation between a dependent and independent variable. We can write the examples of function as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is a table for the function as -
{x} 0 4
{y} 5 9
We can write the slope of the function as -
{m} = (9 - 5)/(4 - 0)
Therefore, we can write the slope of the function as -
{m} = (9 - 5)/(4 - 0).
To solve more questions on functions, visit the link below-
https://brainly.com/question/30194223
#SPJ7
Write 59/40 as a decimal
Answer:
1.475
Step-by-step explanation:
Find an equation of the line that passes through the point (2, 1) and
is perpendicular to the line x + 2y=-2
Answer:
2x - y = 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
x + 2y = - 2 ( subtract x from both sides )
2y = - x - 2 ( divide all terms by 2 )
y = - [tex]\frac{1}{2}[/tex] x - 1 ← in slope- intercept form
with slope m = - [tex]\frac{1}{2}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2 , thus
y = 2x + c ← is the partial equation
To find c substitute (2, 1) into the partial equation
1 = 4 + c ⇒ c = 1 - 4 = - 3
y = 2x - 3 ← equation in slope- intercept form
add 3 to both sides
y + 3 = 2x ( subtract y from both sides )
3 = 2x - y, thus
2x - y = 3 ← equation in standard form
]
Match the correct property of operations to each pair of equivalent expressions so that the property can be applied to
the first expression to generate the second expression Drag the items on the left to the correct location on the right
(x+20) + 12 and 7x +(24+12)
Distributive Property
Commutate Property
x+4y-Sy and x-5y
Associative Property
21x+28y and 7(3x + 4y)
combining like terms
Ty + 6x and 6x + 7y
Answer:
Check below
Step-by-step explanation:
Hi, let's check
1.[tex](7x+20) + 12 \:and\: 7x +(24+12)\\[/tex]
In this case we have the Associate Property, since we can associate two, or even three terms without modify the final result.
2.[tex]21x+28y \:=\: 7(3x + 4y)[/tex]
Distributive Property, note that that the right side is the left side rewritten as a product, with the GCF outside the brackets.
3. Commutative Property
[tex]7y + 6x \:and\: 6x + 7y[/tex]
The order of these sum does not compromise the result.
4. [tex]x+4y-Sy \:and\: x-5y[/tex]
Combining like terms, similar terms are operated together.
Find the median, mean and mode of : 0,2,2,4,4,6,6,6,6 pls show working
Answer:
Step-by-step explanation:
The median is 4, which is the middle number. If there is no middle number, get the average of the two numbers closest to the median.
The mean is 4, which is the average of all the numbers. you add all of them up and divide by how many integers there are in the list.
The mode is 6, which is the integer that is shown the most.
Answer:
mean=4
median=4
mode=6
Step-by-step explanation:
Mean: add 0+2+2+4+4+6+6+6+6=36
36/ (the amount of numbers) 9= 4
Median: cross out the numbers left to right until you get to the middle which is 4.
Mode: 6 occurred four times, which is the most out of any of the other numbers in this sequence, so the answer is 6.
Which expression is equivalent to 10 to the 4 power? A.) 10 times 10 times 10 times 10 B.) 40 C.) 4 times 4 times 4 times 4 times 4 times 4 times 4 times 4 times 4 times 4 D.) 4,444,444,444
Answer:
A
Step-by-step explanation:
Here in this question, we want to select which of the options particularly represents what was given in the question.
Mathematically 10^4 means that we are raising 10 into a continued exponential raising up to 4 times.
So 10^4 is pronounced as the first option in the question.
10 raised to power 10 , raised to power 10 etc
Draw a diagram of this statement,
Fifteen thousand dollars was raised by the booster club. This was two thirds of
the goal.
Use your diagram to determine the percent by which the booster club fell short of their goal
Answer:
The percentage by which the booster club fell short is 33% as shown on the chart
Step-by-step explanation:
To represent the given data pictorially, a pie chart is suitable
The circumference of the pie chart will represent the amount to be raised by the booster club and a sector of the circle which is two-thirds of the circumference represents the amount raised
Given that the amount raised = 2/3×Goal = $15,000, we have;
We represent the amount raised as a sector of the circle as follows;
Sector angle = 2/3×360° = 240°
Total sector of goal amount = Entire circle = 360°
Amount club fell short = 360° - 240° = 120°
The goal amount = 3/2 × $15,000
Percentage by which the club fell short = 120/360×100 = 1/3×100 = 33.33%
Simplify the expression: (− 2/3 pq^4)^2·(−27p^5q)
Answer:
-12p^7q^9
Step-by-step explanation
-\left(-\frac{2}{3}pq^4\right)^2\cdot \:27p^5q
-27\cdot \frac{2^2p^2q^8}{3^2}p^5q
Multiply the fractions
\frac{2^2p^2q^8\cdot \:27p^5q}{3^2}
-\frac{2^2\cdot \:27p^7q^9}{3^2}
-2^2\cdot \:3p^7q^9
please help QUICKLY! please explain your answer, please give the correct answer
Answer:
0: 0.70561: 0.26882: 0.0256Step-by-step explanation:
When events are independent, the probability of some sequence of them is the product of the probabilities of the individual events in that sequence.
The probability of a child having spina bifida is 16% = 0.16, so the probability that the child will not have the condition is 1 - 0.16 = 0.84. The probability that 0 of 2 children will have spina bifida is ...
p(0 for 2) = p(0 for 1)×p(0 for 1) = 0.84×0.84 = 0.7056
__
There are two ways that 1 of 2 children can have spina bifida: either the first one does, or the second one does. These are mutually exclusive conditions, so their probabilities add:
p(1 for 2) = p(1 for 1)×p(0 for 1) +p(0 for 1)×p(1 for 1) = 0.16×0.84 +0.84×0.16
p(1 for 2) = 0.2688
__
There is one way both children can have spina bifida:
p(2 for 2) = p(1 for 1)×p(1 for 1) = 0.16×0.16 = 0.0256
__
In summary, our probability distribution is ...
p(X=0) = 0.7056
p(X=1) = 0.2688
p(X=2) = 0.0256
Darrin is hanging 200 feet of Christmas garland on the fencing around his house. The fence has the shape of a rectangle and fully encloses the house and its front, side and back yards. The length is 5 feet less than 5 times the width.Find the length and width of the fencing. Give the measurements in decimal form.
Answer:
the width is 17.5 feet and the length is 82.5 feet.
Step-by-step explanation:
The house has a rectangular shape and we know that the length is 5 feet less than 5 times the width.
We will call the width x, thus, the length would be represented as 5x-5 (5 less than 5 times the width).
Since Darrin is going to hang garland around the perimeter of the house, we know that the perimeter is 2 times the length plus two times the width and this equals 200.
Let's write this in algebraic form
[tex]width = x\\length= 5x-5\\Perimeter= 2width +2length=200\\200=2(x)+2(5x-5)\\200=2x+10x-10\\200=12x-10\\200+10=12x\\210=12x\\210/12=x\\x=17.5[/tex]
Therefore, the width is 17.5 feet.
Now, the length is 5x-5, thus substituting the 17.5 in this equation we have:
[tex]5x-5=5(17.5)-5=87.5-5=82.5[/tex] feet
Therefore, the width is 17.5 feet and the length is 82.5 feet.
if you apply the changes below to the quadratic parent function f(x)=x^2.which of these in the equation of the new function? shift 1 unit right ,vertically stretch by a factor of 3,reflects over x-axis
Answer:
Transformed [tex]\,\,f(x)= -3\,(x-1)^2[/tex]
Step-by-step explanation:
The process of shifting the graph of the function 1 unite to the right can be obtained by subtracting 1 to the x-coordinate in the expression of the function:
[tex]f(x)=x^2\\new\,f(x) =(x-1)^2[/tex]
The process of stretching vertically the function, would be accomplished by multiplying now the full function by "3":
[tex]new \,\,f(x)= 3\,(x-1)^2[/tex]
the reflection over the x-axis is obtained by multiplying the full function by the constant "-1":
[tex]new \,\,f(x)= -3\,(x-1)^2[/tex]
2 sin(2theta)
_______________
(1 + cos(2theta)) (1 –tan^2theta)
Answer:
For numerator
2sin(2∅)=2(2sin∅cos∅)
For Denominator
(1+cos(2∅))(1+tan²∅)
=(1+cos(2∅))(sec²∅)
=(1+cos²∅-sin²∅)(sec²∅)
Recall. 1-sin²∅=cos²∅
=2cos²∅(sec²∅)
=2.
Answer is...
2(2sin∅cos∅)/2
=2sin∅cos∅ or sin(2∅)