Answer:
[tex]Scale\ Factor = \frac{1}{2}[/tex]
ABC dilated
Step-by-step explanation:
Given
Triangles ABC and DEF
Required
Determine the scale of dilation
First, we pick a side on ABC
[tex]AB = 6[/tex]
Pick a corresponding side on DEF
[tex]DE = 3[/tex]
The scale factor is then calculated as:
[tex]Scale\ Factor = \frac{DE}{AB}[/tex]
[tex]Scale\ Factor = \frac{1}{2}[/tex]
i.e. ABC was dilated by 1/2
what is this
h divide 4 = 9
Answer: 36÷4=9
Step-by-step explanation:
Is this a function?
Which expressions have a value of 16/81? Check all that apply.
Answer:
2) 4/9
Step-by-step explanation:
well when you simplify you will get this awnser.
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{Which expressions have a value of }\mathsf{\dfrac{16}{81}?\ }\large\textsf{Check ALL that APPLY. }[/tex]
[tex]\mathsf{(\dfrac{2}{3})^4}\\\\\mathsf{= \bf \dfrac{2}{3}\times\dfrac{2}{3}\times\dfrac{2}{3}\times \dfrac{2}{3}}\\\\\mathsf{= \bf \dfrac{2\times2\times2\times2}{3\times3\times3\times3}}\\\\\mathsf{2\times2\times2\times2}\\\mathsf{2\times2 = \bf 4}\\\mathsf{4\times4= \bf 16}\\\\\mathsf{\dfrac{\bf 16}{3\times3\times3\times3}}\\\\\mathsf{3\times3\times3\times3}\\\mathsf{3\times3 = 9}\\\mathef{9\times9 = \bf 81}\\\\\mathsf{\dfrac{16}{\bf 81}}\\\\\mathsf{= \bf \dfrac{16}{81}}[/tex]
[tex]\large\text{Option A. could POSSIBLY be your ANSWER}[/tex]
[tex]\mathsf{(\dfrac{16}{3})^4}\\\\\mathsf{= \dfrac{16}{3}\times\dfrac{16}{3}\times\dfrac{16}{3}\times\dfrac{16}{3}}\\\\\mathsf{= \dfrac{16\times16\times16\times16}{3\times3\times3\times3}}\\\\\mathsf{16\times16\times16\times16}\\\mathsf{16\times16= \bf 256}\\\mathsf{256\times256 = \bf 65,536}\\\\\mathsf{\dfrac{\bf 65,536}{3\times3\times3\times3}}\\\\\mathsf{3\times3\times3\times3}\\\mathsf{3\times3 = \bf 9}\\\mathsf{9\times9 = \bf 81}\\\\\\\mathsf{\dfrac{65,536}{\bf 81}}\\\\\mathsf{\bf = \dfrac{65,536}{81}}[/tex]
[tex]\large\text{Option B. CANNOT be your POSSIBLE ANSWER}[/tex]
[tex]\mathsf{(\dfrac{4}{81})^2}\\\\\mathsf{=\dfrac{4}{81}\times\dfrac{4}{81}}\\\\\mathsf{= \dfrac{4\times4}{81\times81}}\\\\\mathsf{4\times4= \bf 16}\\\\\mathsf{\dfrac{\bf 16}{81\times81}}\\\\\mathsf{81\times81=\bf 6,561}\\\\\mathsf{\dfrac{16}{\bf 6,561}}\\\\\mathsf{= \bf \dfrac{16}{6,561}}[/tex]
[tex]\large\text{Option C. CANNOT be your POSSIBLE ANSWER}[/tex]
[tex]\mathsf{(\dfrac{4}{9})^2}\\\\\mathsf{= \dfrac{4}{9}\times \dfrac{4}{9}}\\\\\mathsf{= \dfrac{4\times4}{9\times9}}\\\\\mathsf{4\times4 = \bf 16}\\\\\mathsf{\dfrac{\bf 16}{9\times9}}\\\\\mathsf{9\times9 = \bf 81}\\\\\\\mathsf{\dfrac{16}{\bf 81}}\\\\\\\mathsf{= \bf \dfrac{16}{81}}[/tex]
[tex]\large\text{Option D. could POSSIBLY be your ANSWER}[/tex]
[tex]\mathsf{(\dfrac{1}{81})^1^6}\\\\\mathsf{= u n d e f i n e d\ (also\ known\ as\ 0)}[/tex]
[tex]\large\text{Option E. CANNOT be your POSSIBLE ANSWER}[/tex]
[tex]\boxed{\boxed{\mathsf{Answer:\bf Option\ A. (\dfrac{2}{3})^4} \&\ \bf Option\ D. (\dfrac{4}{9})^2}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Help please .
Solve for variable
Simplify this expression.
[tex]\frac{4^{9} }{4^{3} }[/tex]
9x9x9x9divide by 4x4x4
Answer:
4⁹ / 4³ = 4⁶ = 4096
Step-by-step explanation:
You can solve this by realising that exponents (the 9 and the 3 in this case), simply tell you how many times to multiply the numbers together.
What you're see there then can also be expressed as:
[tex]\frac{4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4}{4 \times 4 \times 4}[/tex]
Because the numerator and denominator are all multiples of the same number repeatedly, you can simply eliminate the bottom three fours from the top and bottom, giving you:
[tex]\frac{4 \times 4 \times 4 \times 4 \times 4 \times 4 \times (4 \times 4 \times 4)}{(4 \times 4 \times 4)}\\\\= 4 \times 4 \times 4 \times 4 \times 4 \times 4[/tex]
[tex]4 \times 4 \times 4 \times 4 \times 4 \times 4[/tex]
A simpler way to look at it is to understand that when the same number is being raised to different bases, and then multiplied or divided, you can simply add or subtract the exponents. For example, speaking very generically:
[tex]x^a \times x^b = x^{a + b}[/tex]
and
[tex]x^a \div x^b = x^{a - b}[/tex]
In this case then, we can simply say:
[tex]\frac{4^9}{4^3} = 4^{9 - 3} = 4^6[/tex]
So when simplified, the expression is equal to 4⁶, or 4096.
Given the coordinates, determine whether PQR & XYZ are congruent
P(5,-4), Q(-3, 7), R(0, 2), X(-2,-1), Y(9, 7), Z(3, 2)
PQ=
XY=
QR=
YZ=
PR=
XZ=
Are the triangles congruent? If yes, explain your reasoning and write a congruence statement.
Answer:
The triangles are congruent
Step-by-step explanation:
Given
[tex]P(5,-4), Q(-3, 7), R(0, 2), X(-2,-1), Y(9, 7), Z(3, 2)[/tex]
Required
Determine if PQR = XYZ
To do this, we make use of distance formula.
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
For PQ:
[tex](x_1,y_1) = (5,-4)[/tex] and [tex](x_2,y_2) = (-3,7)[/tex]
So:
[tex]PQ = \sqrt{(-3-5)^2+(7-(-4))^2}[/tex]
[tex]PQ = \sqrt{(-8)^2+(7+4)^2}[/tex]
[tex]PQ = \sqrt{(-8)^2+(11)^2}[/tex]
[tex]PQ = \sqrt{64+121}[/tex]
[tex]PQ = \sqrt{185}[/tex]
For XY:
[tex](x_1,y_1) = (-2,-1)[/tex]
[tex](x_2,y_2) = (9,7)[/tex]
So:
[tex]XY = \sqrt{(9-(-2))^2+(7-(-1))^2}[/tex]
[tex]XY = \sqrt{(9+2)^2+(7+1)^2}[/tex]
[tex]XY = \sqrt{(11)^2+(8)^2}[/tex]
[tex]XY = \sqrt{121+64}[/tex]
[tex]XY = \sqrt{185}[/tex]
For QR:
[tex](x_1,y_1) = (-3,7)[/tex] and [tex](x_2,y_2) = (0,2)[/tex]
So:
[tex]QR = \sqrt{(0-(-3))^2 + (2-7)^2}[/tex]
[tex]QR = \sqrt{(0+3)^2 + (-5)^2}[/tex]
[tex]QR = \sqrt{(3)^2 + 25}[/tex]
[tex]QR = \sqrt{9 + 25}[/tex]
[tex]QR = \sqrt{34}[/tex]
For YZ:
[tex](x_1,y_1) = (9,7)[/tex] and [tex](x_2,y_2) = (3,2)[/tex]
So:
[tex]YZ = \sqrt{(3-9)^2+(2-7)^2}[/tex]
[tex]YZ = \sqrt{(-6)^2+(-5)^2}[/tex]
[tex]YZ = \sqrt{36+25}[/tex]
[tex]YZ = \sqrt{61}[/tex]
For PR:
[tex](x_1,y_1) = (5,-4)[/tex] and [tex](x_2,y_2) = (0,2)[/tex]
So:
[tex]PR = \sqrt{(0-5)^2+(2-(-4))^2}[/tex]
[tex]PR = \sqrt{(-5)^2+(2+4)^2}[/tex]
[tex]PR = \sqrt{(-5)^2+(6)^2}[/tex]
[tex]PR = \sqrt{25+36}[/tex]
[tex]PR = \sqrt{61}[/tex]
For XZ:
[tex](x_1,y_1) = (-2,-1)[/tex] and [tex](x_2,y_2) = (3,2)[/tex]
So:
[tex]XZ = \sqrt{(3-(-2))^2+(2-(-1))^2}[/tex]
[tex]XZ = \sqrt{(3+2)^2+(2+1)^2}[/tex]
[tex]XZ = \sqrt{5^2+3^2}[/tex]
[tex]XZ = \sqrt{34}[/tex]
From the calculations above:
[tex]PQ = XY = \sqrt{185[/tex]
[tex]QR = XZ = \sqrt{34[/tex]
[tex]PR = YZ = \sqrt{61[/tex]
Hence, the triangles are congruent base on SSS (Sides- Sides-Sides)
PLEASE HELP ME I NEED HELP PLEASE HELP
PLEASE GIVE THE ANSWER UNDER THE QUESTION AND RATIO
Answer:
6. 225 feet in 3 minutes = 75 feet in 1 minute (slower)
360 feet in 5 minutes = 72 feet in 1 minute
7. $4 for 5 ounces = $0.80 for 1 ounce (most expensive)
$14 for 20 ounces = $0.70 for 1 ounce
8. 72 people in 6 hours = 12 people in 1 hour
117 people in 9 hours = 13 people in 1 hour (greater rate per hour)
Answer:
A = 369 feet in 5 minutes B = $4 for 5 ounces C = 117 people in 9 hours
What should be done first to simplify the expression?
7 - 4 × (3 + 3)2 + 5
Add 5.
Subtract 4 from 7.
Multiply 4 and 6.
Add 3 and 3.
Answer:
3 plus 3
Step-by-step explanation: its in the parenthesis
Answer:
You have to add 3 and 3 first. That has to be done first.
A. 50 degrees
B. 130 degrees
C. 9 units
D.22 units
E. 13 units
Answer: all i can do hope this helps a bit 2. 130 degrees
5. 13 units
What is the value of the expression 30 X 5 + 6 X 4
will give brainliest
Answer:
174
Step-by-step explanation:
Answer:
30 × 5 + 6 × 4= 150 + 24= 174Step-by-step explanation:
I hope it helps ❤❤What is the distance from –8 to 4 on a number line?
Answer:
13 away
i used my fingers
Answer:
12
Step-by-step explanation:
-8_-7_-6_-5_-4_-3_-2_-1_0_1_2_3_4
Just count he bottom lines
Alexandra’s soccer team played 25 games and won 22 of
them. What percent did the team win?
Answer:
88%
Step-by-step explanation:
25*4=100. this means we have to multiply 22*4, which gets us 88%
Answer:
0.88%
Step-by-step explanation:
25 divided by 22
Please help! Question posted above ^
Answer:
( x^2 - 6 )^2
Step-by-step explanation:
x^4 -12x^2 +36Find one factorFactor by grouping(x^2 - 6x) (x^2 - 6x)*solution* ( x^2 - 6 )^2
I need help with This one
Answer:
1 and 2
Step-by-step explanation:
If y was 1: -2 x 1 + 18 = -2 + 18
= 16 This works
If y was 2: -2 x 2 + 18 = -4 + 18
= 14 This works
If y was 3: -2 x 3 + 18 = -6 + 18
= 12 This does not work since -2y + 18 has to be greater than 12.
4y-1=2(y-2)
Solve for y
Answer:
y= -3/2
Step-by-step explanation:
Find two points for each labeled line in the graph below. Then use those two sets of coordinate points to help you find the slope and use whichever method for finding equations that you prefer to find the equation of each line listed. You only need to write the equation of each line for your answer. Remember, you must first put the equations in slope-intercept form. Label your answers m and b to represent the slope and y-intercept.
A:
B:
C:
D:
Answer:
???
Step-by-step explanation:
wheres y
Answer:
the equation to find slope is (y2-y1)/(x2-x1)
A: (-4,1) (0,3) (for all of these except for the last one, i included the y-intercept as one of the points)
3-1/0-(-4)
2/4
m=1/2
y= 1/2x +3
B: (0,-1) (3,1)
3-0/1-(-1)
m=3/2
y= 3/2x -1
C: (0,-3) ( 6,-1)
-1 -(-3) / 6-0
2/6
m= 1/3
y = 1/3x -3
D: (3,-3) (6,0)
0 -(-3) / 6-3
3/3
1
m= 1
y -y1 = m (x - x1) (this is point-slope form, plugging in the slope and a point on the line, and then solving it will give you slope-intercept form)
y - 0 = 1(x -6)
y = 1x -6
Step-by-step explanation:
I hope this helped :)
What is the equation for calculating the area of a triangle?
A = 1/4 base · height
B = length · width
C = pi · height
D = 1/2 base · height
Answer:
A= 1/2 base*height
Step-by-step explanation:
: )
The correct equation for calculating the area of a triangle is D = 1/2 base · height.
The equation for calculating the area of a triangle is D = 1/2 base · height. This formula represents the most commonly used method for finding the area of a triangle.
To use this formula, you multiply the base of the triangle by its corresponding height, and then divide the result by 2.
This is because the area of a triangle is equal to half the product of its base and height.
By dividing by 2, we account for the fact that a triangle is essentially half of a parallelogram.
Therefore, the correct equation for calculating the area of a triangle is D = 1/2 base · height.
Learn more about the triangles here:
https://brainly.com/question/17997149
#SPJ4
I don’t know this someone help
Answer:
yes what that guy said is right
Which Figure has a line sysmmetry F,H,J,L,R
Answer:
njnjfsdnjfe
Step-by-step explanation:
Answer:
we cant see
Step-by-step explanation:
summer babysitting. She decided
to put this money in a bank that
earns a 5% simple interest rate.
How many years will it take to
double her initial deposit?
A) 10 years
B) 12 years
C) 15 years
D) 18 years
E) 20 years
Answer: B.12 years
Step-by-step explanation:
Please help me with this question
Answer:
1. 3 x 2 = 6 / 4 x 3 = 12 = 6/12 [simplify] = 1/2 thats the first answer, just do how i did it to get the others, its pretty simple
Simplify:1/5 + (-2/3)?
Answer:
SOOOOOO
Step-by-step explanation:
YOU MAKE IT 1/5 + -2/3
INTOOO
3/15+-10/15
THENNNN
YOU ADD THEMMM
AND UU GETTTT
-7/15
SOOO THAT UR ANSWER ITSS A THE FIRST ONE
-7/15
What is the density of the glass in 2.5 g/cm in kg/m
We are given:
Density of glass in g/cm³ = 2.5
Finding the density in kg/m³:
In converting 2.5 g/cm³ to kg/m³, we will first convert the g to kg
Converting the g to kg:
2.5 g/cm³ * 1
Since 1kg = 1000g, 1kg/1000g = 1
2.5 g/cm³ * 1kg / 1000g
the g in the numerator and the denominator will cancel out and we will get:
2.5 kg / 1000 cm³
Converting the cm³ to m³:
We know that 1 m³ = 10⁶ cm³
So, 10⁶ cm³ / 1 m³ = 1
Multiplying the density by 1
2.5 kg / 10³ cm³ * 1
2.5 kg / 10³ cm³ * 10⁶ cm³ / 1 m³
the cm³ in the numerator and the denominator will cancel out
2.5 * 10⁶ kg / 10³ m³
2.5 * 10³ * 10³ kg / 10³ m³
2.5 * 10³ kg / m³
2500 kg/m³
PLEASEE HELP IM BEGGING YOU
Answer:
1 7/12
Step-by-step explanation:
Its 1 7
/12
Answer:
1 7/12
Step-by-step explanation:
Hope this helps!
Brainiest?
using the numbers 3, 5, and 8, can you write nine proper fractions and nine improper fractions? You may use each number only once within a fraction.
Answer:
First, we can write a fraction as a/b
Where a is the numerator, and b is the denominator.
A proper fraction is a fraction where the numerator is smaller than the denominator.
Using only the given numbers (only once per fraction), some examples of proper fractions are:
3/5
3/8
5/8
3/85
3/58
5/83
5/38
8/35
8/53
You can see that in all of them the denominator is larger than the numerator.
The improper fractions are those where the numerator is equal or larger than the denominator.
The 9 examples using the given numbers are:
5/3
8/5
8/3
35/8
38/5
53/8
58/3
83/5
85/3
Given the equation in point slope form y-5=1/2(x+1)
Answer:
The slope of this equation is 11/2. The point is (1/2, 0)
Step-by-step explanation:
I hope this is the right answer, good luck!
Add these two expressions … 15.5y - 10.3 and -35.4y + 5
Answer:
-19.9y-5.3
Step-by-step explanation:
I am once again asking for your help with solving this problem.
Answer:
llll, Vl, Vll
Step-by-step explanation:
SOMEONE PLEASE PLEASE HELP ME ON THIS!!
X=22
14 plus 8 gives you x
[tex]\frac{x}{20} =\frac{14}{8} \\x=\frac{14}{8} \times 20=35[/tex]Answer:
35
Step-by-step explanation:
please anwser this for me!!
Answer:
No
Step-by-step explanation:
The relation given as represented by the table of values is definitely not a function. This is because, 1 domain value (x-value), is having two range values (y-values), 2 and 5, that are assigned to it.
A function cannot have two y-values assigned to one x-values.