The vertices of triangle A''B''C'' are A''(-2, -1), B''(-7, 4), and C''(2, 3).
Thus, option (D) is correct.
1. Translation: The original triangle ABC is translated 2 units to the right and 3 units down to form triangle A'B'C'.
To translate a point (x, y) by (a, b), the new coordinates become
(x + a, y + b).
The coordinates of A' would be:
A' = (-3 + 2, 1 - 3) = (-1, -2)
The coordinates of B' would be:
B' = (2 + 2, -4 - 3) = (4, -7)
The coordinates of C' would be:
C' = (1 + 2, 5 - 3) = (3, 2)
2. Reflection over y = x:
Triangle A'B'C' is reflected over the line y = x to form triangle A''B''C''.
To reflect a point (x, y) over the line y = x, the new coordinates become (y, x).
The coordinates of A'' would be:
A'' = (-2, -1)
The coordinates of B'' would be:
B'' = (-7, 4)
The coordinates of C'' would be:
C'' = (2, 3)
Therefore, the vertices are A''(-2, -1), B''(-7, 4), and C''(2, 3).
Thus, option (D) is correct.
Learn more about Translation here:
https://brainly.com/question/17052587
#SPJ6
2) Eighty students were surveyed as they left the cafeteria after lunch. The following were
the results: 50 students had pizza, 40 students had soda, 21 students had pizza and soda,
17 students had pizza and a cookie, 18 students had soda and a cookie, and 10 students had
all three. How many students had a cookie only?
PLS HELP I HAVE BEEN TRYING TO DO THIS FOR AN HOUR.SOLVE USING A VENN DIAGRAM(GEOMETRY)
Answer:
I believe that 11 students ate only the cookie.
Consider the function f(x) = 2 * (x - 20) ^ 2 - 3 What is the value of f(29) ?
Answer:
f(29) = - [tex]\frac{9}{290}[/tex]
Step-by-step explanation:
Step 1: substitute f(29) into the equation.
f(29) = 2(29 - 20)²⁻³
29 replaces x.
Step 2: simplify the exponent
f(29) = 2(29 - 20)⁻¹
2-3 is -1, so the exponent is -1
Step 3: distribute the exponent to the parentheses
f(29) = 2([tex]\frac{1}{29}[/tex] - [tex]\frac{1}{20}[/tex])
Since the exponent is a negative one, basically make it a fraction with the base as the denominator and the exponent as a numerator. I don't know too much about negative exponents, but this is how to factor in a -1.
Step 4: Distribute.
f(29) = [tex]\frac{2}{29} -\frac{2}{20}[/tex]
Step 5: Simplify before finding a common denominator (2/20 cancels out)
f(29) = 2/29 - 1/10
Step 6: Find a common denominator (290)
f(29) = [tex]\frac{20}{290}[/tex] - [tex]\frac{29}{290}[/tex]
Step 7: Simplify
f(29) = - [tex]\frac{9}{290}[/tex]
TBH I'm not sure this is correct, but I hope this helps =)
Emerson needs an average of at least 90 points in order to earn an "A" in his science
class. So far, his test scores are 92, 86, and 88. What is the lowest grade Emerson can
score on his final test in order to earn an "A"?
s < 94, Emmerson must earn below a 94 on his final test to earn an "A" in his class.
b) s > 94, Emmerson must earn above a 94 on his final test to earn an "A" in his class.
c) s < 94, Emmerson must earn at most a 94 on his final test to earn an "A" in his class.
d) s 294, Emmerson must earn at least a 94 on his final test to earn an "A" in his class.
Answer:
D) Emerson must earn at least a 94 on his final test to earn an “A” in his class
Step-by-step explanation:
We calculate this using mean in this format:
Test Scores / # of Test ≥ 90 (which is an A)
Substitute:
(92 + 86 + 88)+ x / 4 ≥ 90
Add:
266 + x / 4 ≥ 90
Get Rid of the Denominator:
(4) 266 + x / 4 ≥ 90 (4)
Multiply:
266 + x ≥ 360
Isolate x (Subtract 266 From Both Sides):
x ≥ 94
This means that x (His final test score) has to be greater than (above) or equal to 94. A term for greater than or equal to is “at least.” Hope this helps :)
What is the volume of the cylinder with height 8m and radius of 5m
Question :-
What is the volume of a cylinder with a radius of 5 m and a height of 8 m?Answer :-
The volume of a cylinder is 628 m³.[tex] \rule{180pt}{4pt}[/tex]
Diagram :-
[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{5 \: m}}\put(9,17.5){\sf{8 \: m}}\end{picture}[/tex]
Solution :-
As per provided information in the given question, we have been given that the Radius of a cylinder is 5 meters. The height of a cylinder is 8 meters. We have been asked to find the volume of a cylinder.
To calculate the volume of a cylinder, we will apply the formula below :-
[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: Volume_{(Cylinder)} = \pi r^2 h \: \: }}[/tex]
Substitute the given values into the above formula and solve for Volume :-
[tex]\sf:\implies Volume_{(Cylinder)} = \pi r^2 h[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(5 \: m)^2(8 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(25 \:m^2)(8 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (78.5 \:m^2)(8 \:m)[/tex]
[tex]\sf:\implies\bold{Volume_{(Cylinder)} = 628 \: m^3}[/tex]
Therefore :-
The volume of a cylinder is 628 m³.[tex]\\[/tex]
Learn more about the Volume of a Cylinder at https://brainly.com/question/15197979
Have a great day! <33
boy a and boy b are pushing a heavy table in the west direction at the same time with 10 units of force each.what is the net force acting on the object ?in which direction the table will move?
Answer:
20 n
Step-by-step explanation:
as both are exerting force on the same side i.e. to the west side with 10 N each the total net force is 10+10=20N and the table will move to the west side....
Thank you
The net force acting on the object will be 20 units and the direction will be the same as the direction of force applied.
What is gravitational force?All mass-bearing objects are attracted by gravitational force. Because it consistently attempts to bring masses together rather than push them apart, the gravitational force is referred to as attractive.
As we know, the gravitational force is given by:
[tex]\rm F = \dfrac{Gm_1m_2}{r^2}[/tex]
Where G is the gravitational constant.
m1 and m2 are masses.
r is the distance between the masses.
It is given that:
Boy 'a' and boy 'b' are pushing a heavy table in the west direction at the same time with 10 units of force each
The table will shift to the west side since both are applying 10 N of force to the same side, i.e., the west side, for a total net force of 10+10=20 N.
Total net force = 10 + 10 = 20 units
Thus, the net force acting on the object will be 20 units and the direction will be the same as the direction of force applied.
Learn more about the gravitational force here:
brainly.com/question/12528243
#SPJ2
which number is in the tenths place value for the number 0.831
Answer:
8
I hope this helps!
Answer:
The number 8.
Step-by-step explanation:
The digit in the tenths place is 8. The tenth place is the first digit on the right side of a decimal point. 0.831
Which of the following expressions is equivalent to
8(2x + 7)?
(1) 10x+15
(3) 16x+7
(2) 10x+7
(4) 16x +56
Answer:the answer is 34
Step-by-step explanation:
10 points <33. f(x) =x to the second power - 3. evaluate f(11)
Answer:
f(11) = 118
Step-by-step explanation:
f(x) = x squared - 3 f(11)
f(x) = 11 squared -3 exponents first:
f(x) = 121 - 3
f(11) = 118
Hope this helped :)
(3.9 x 10^-3) + .0026 in scientific notation
The value of (3.9 × 10⁻³) + 0.0026 in scientific notation is 6.5 × 10⁻³.
What is Decimals numbers?Decimal numbers are numbers which has basically a whole number part and a fractional or decimal part after a point called decimal point.
Decimal number system describes the base 10 number system.
Given are numbers 3.9 × 10⁻³ and 0.0026 added together.
We have to do it in scientific notation.
0.0026 can be written as 2.6 × 10⁻³.
Adding these two numbers together, and taking the common term,
(3.9 × 10⁻³) + (2.6 × 10⁻³) = (10⁻³) (3.9 + 2.6)
= (10⁻³) (6.5)
= 6.5 × 10⁻³
Hence the answer of the sum of (3.9 × 10⁻³) + 0.0026 is 6.5 × 10⁻³ in scientific notation.
To learn more about Decimal Numbers, click on the link given :
https://brainly.com/question/4708407
#SPJ2
Solve the inequality
3m - 3(m + 8) > 3m
Answer:
m<−8
Step-by-step explanation:
Solve for variable 24a-22=-4(1-6a)
Answer:
a = undefined/no real solution
Step-by-step explanation:
Expand
24a - 22 = -4 + 24a
24a - 24a = -4 + 22
0a = 18
a = undefined/no real solution (when something is divided by 0 it becomes undefined)
The equation 24a - 22 = -4(1 - 6a) have no solution for the variable "a".
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Given:
equation 24a - 22 = -4(1 - 6a)
1. Distribute the -4 to the terms inside the parentheses:
24a - 22 = -4 + 24a
2. Simplify the equation by combining like terms:
24a - 22 = 24a - 4
3. Rearrange the equation by moving all the terms involving "a" to one side and the constant terms to the other side:
24a - 24a = -4 + 22
4. Simplify 24a - 24a = -4 + 22:
0 = 18
The equation 0 = 18 is not true, which means there is no solution.
Learn more about Equation here:
https://brainly.com/question/29657983
#SPJ6
On a map, 1 inch equals 15 miles. If two cities are 5 inches apart on the map, how far are they actually apart?
Answer:
75 miles
Step-by-step explanation:
To find the answer, you should multiply 15 by 5 because if 1 inch is 15 miles, then 5 inches times 15 miles = 75 miles.
The probabilty of it raining on a given day is 3/8 what is the probabilty of it not raining?
Answer:
5/8
Step-by-step explanation:
If 3/8 IS raining, then the remaining 8ths is NOT raining. 8 - 3 = 5. So, 5/8 is NOT raining.
I hope this helps!
Answer:
5/8
Step-by-step explanation:
To find the probability of it not raining, subtract 3/8 from 1.
1 - 3/8
= 5/8
Since the probability of it raining is 3/8, this must mean that during the rest of the time, it will not rain.
So, the probability of it not raining is 5/8
50pts given to the person that can solve this.
Write the equation, (2)x+(3)y=(24) in slope-intercept form
Answer:
y = - 2/8x + 8
Step-by-step explanation:
Plato
How many millimeters are in 1 centimeter?
Answer:
10
Step-by-step explanation:
Answer:
10!
Step-by-step explanation:
If you need to find how many millimeters are in a certain amount of cm's, you can multiply the length (amount of cm) by 10, since there are 10 millimeters in a cm.
solve the liner equation 3(2x-14)+x=15-(-9x-5)
PLEASE HELP! DO NOT PUT A SILLY AWSER I WILL REPORT YOU!
Answer:
x= -31
Step-by-step explanation:
Let's solve your equation step-by-step.
3(2x−14)+x=15−(−9x−5)
Step 1: Simplify both sides of the equation.
3(2x−14)+x=15−(−9x−5)
3(2x−14)+x=15+−1(−9x−5)(Distribute the Negative Sign)
3(2x−14)+x=15+−1(−9x)+(−1)(−5)
3(2x−14)+x=15+9x+5
(3)(2x)+(3)(−14)+x=15+9x+5(Distribute)
6x+−42+x=15+9x+5
(6x+x)+(−42)=(9x)+(15+5)(Combine Like Terms)
7x+−42=9x+20
7x−42=9x+20
Step 2: Subtract 9x from both sides.
7x−42−9x=9x+20−9x
−2x−42=20
Step 3: Add 42 to both sides.
−2x−42+42=20+42
−2x=62
Step 4: Divide both sides by -2.
−2x
−2
=
62
−2
x=−31
Answer:
give her brainliest
Step-by-step explanation:
consider the inequality x<-34
-56 yes no
-21 yes no
19 yes no
36 yes no
please help i need to turn this in a few minutes
Answer:
-56 yes
-21 no
19 no
36 no
Step-by-step explanation:
Inequality;
x < -34
Problem:
-56 yes no
-21 yes no
19 yes no
36 yes no
Solution:
The inequality signifies that x is less than -34, these are the number -34, -35, -36, -37 onward, so;
-56 yes
-21 no
19 no
36 no
Answer:
yes
no
no
no
Step-by-step explanation:
2,000 students were surveyed about their summer plans. 13% of students stated they were going to get a job over the summer. How many students are working during the summer?
What is the domain of the graph?
A) 2 < x < 5
B) 2 ≤ x ≤ 5
C) 3 < y < 5
D) 3 ≤ y ≤ 5
Answer: The answer is A
Step-by-step explanation: i have a huge headache, how school?
The domain of the graph is,
⇒ 2 ≤ x ≤ 5
What is Line segment?Line segment is the part of line which have two endpoint and bounded by two distinct end points and it contain every point on the line which is between its endpoint.
Given that;
The graph is shown in figure.
We know that;
The domain of the graph is the value of x where the graph is defined.
Hence, By the graph;
The domain of the graph is,
⇒ 2 ≤ x ≤ 5
Because at 2 and 5 the closed circle is defined.
Learn more aboput the line segment visit:
https://brainly.com/question/280216
#SPJ2
Two lines intersecting at a right angle
form a line.
are parallel.
are perpendicular.
form aray
Answer:
Form aray
Step-by-step explanation:
Neither form a line and it also have both parts and perpendicular
The angle of elevation of the top of a
tower from the top and foot of a pole of
height 10 m are 30° and 60°. Then the
height of the tower is
Answer:
15 m
explanation:
Let AB and CD be the pole and tower respectively. Let CD=h Then ∠DAC=60 ∘ and∠DBE=30 ∘ Now CA CD =tan60 ∘ = 3 ∴CD= 3 CA⇒ 3 h =CA Again BE DE =tan30 ∘ = 3 h ∴(h−10)= 3 BE = 3 CA ...[∵BE=CA] = 3 h/ 3 = 3 h ⇒3h−30=h⇒2h=30⇒h=15
Hence, height of the power =15 m
find the price of a 17,100 tructk with a 5% sales tax round to the nearest cent when necessary
Answer:
85500
Step-by-step explanation:
does anyone know the step by step for this 9(m +5) - 3(m - 2) = 8m + 31
Given :
9(m + 5) - 3(m - 2) = 8m + 31We have to find value of m[tex].[/tex]
➠ 9(m + 5) - 3(m - 2) = 8m + 31
➠ 9m + 45 - 3m + 6 = 8m + 31
➠ 9m - 3m + 45 + 6 = 8m + 31
➠ 6m + 51 = 8m + 31
➠ 51 - 31 = 8m - 6m
➠ 20 = 2m
➠ m = 20/2
➠ m = 10
Hope It Helps!
find the following
50%of20
Answer:
10%
Step-by-step explanation:
you would just divide it by 2.
Answer:
10
Step-by-step explanation:
because 50% is half so the half of 20 when you break it down is 10 or if its a percent 10%
Which ratios have a unit rate greater than 1? Choose ALL that apply.
Answer:
Step-by-step explanation: 7 miles: 3/4 hour, 9/8 miles: 5/6 hour, and 4 miles: 3 and 1/3 hour.
hope this helps !! <3
The ratios that have a unit rate is 9/8 miles:5/6hours and 7miles: 3/4 hours
Unit rate is the ratio of the distance travelled o the time taken.
For us to know which of the ratios has a unit rate greater than 1, we need to divide the distance by the time as shown;
If distance = 9/8 miles and time = 5/6 hours
[tex]Unit \ rate =\frac{(9/8)}{(5/6)}\\Unit \ rate =\frac{9}{8} \times \frac{6}{5}\\Unit \ rate = \frac{54}{40} \\Unit \ rate =1.35 miles/hour[/tex]
Hence the ratio that has a unit rate is 9/8 miles:5/6hours
If distance = 7 miles and time = 3/4 hours
[tex]Unit \ rate =\frac{7}{(3/4)}\\Unit \ rate =\7 \times \frac{4}{3}\\Unit \ rate = \frac{28}{3} \\Unit \ rate = 9.33miles/hour[/tex]
Hence the ratio that has a unit rate is 7 miles:3/4hours
Learn more here: https://brainly.com/question/8406966
Perimeter of a triangle is 450 m and its sides are in the ratio 13 : 12 : 5. Find the area of the triangle and the altitude to the largest side.
Answer with steps .
Answer:
a = 195 m , b = 180 m , c = 75 m
Step-by-step explanation:
Let "a,b and c" be the sides of the triangle in the ration - 13:12:5
therefore , a:b:c = 13:12:5 => a = 13x , b = 12x , and c = 5x
therefore , Perimeter = 13x + 12x + 5x = 450
=> 30x = 450
=> x = 15
therefore , a = 13 x 15
b = 12 x 15 and
c = 5 x 15
hence , a = 195 m , b = 160 m and c = 75 m
HELP THIS IS DUE TODAY
Answer:
First box:6 inches
Second box: 5 inches
Step-by-step explanation:
[tex]V=\pi r^2h[/tex]
Divide both sides by [tex]\pi r^2[/tex]
[tex]h=\frac{V}{\pi r^2}[/tex]
First box: [tex]h=\frac{96\pi }{\pi(4)^2 } =\frac{96\pi }{16\pi } =6[/tex] inches
Second box: [tex]h=\frac{31.25\pi }{\pi (2.5)^{2} } =\frac{31.25\pi }{6.25\pi } =5[/tex] inches
A number used to multiply a variable is a
Answer:
The answer is coefficient. Does that help?
e equation y+3=2(x+3)?
With a graph
Answer:
78.909877
Step-by-step explanation:
89.0987
5 points
You want to rent a car for a dayl It will cost the daily fee of $50 plus $0.35
per mile driven. Part A: Write an expression that shows the amount you will
pay for the car. Let m=the number of miles you drive for the day. Part B:
How much will you pay if you drive 80 miles?
Answer:
The payment for driving 80 miles is $78
Step-by-step explanation:
Mathematical model
Mathematical models are used in disciplines like natural sciences and engineering, among many others.
The data provided in the question allows building a model for the charges of the car rental, knowing there are two fees:
A fixed charge of $50
A variable charge or $0.35 per mile driven.
Part A
Using m as the number of miles driven for the day, the model for the payment for the car rental is:
P(m)=50+0.35m
Part B
Find the payment if the car is driven m=80 miles:
P(80)=50+0.35*80
P(80)=50+28=78
The payment for driving 80 miles is $78
