Given:
Triangle QRS has coordinates Q(-2, -2), R(0, 3), and S(4, -2) and is dilated by a scale factor of 2.
To find:
The new coordinates of point S', and state whether the dilation is an enlargement or a reduction.
Solution:
If a figure is dilated by factor k with origin as center of dilation, then
[tex](x,y)\to (kx,ky)[/tex]
Where, 0<k<1 is reduction and k>1 is enlargement.
The figure is dilated by scale factor 2 which is greater than 1, so the dilation is an enlargement. The rule of dilation is:
[tex](x,y)\to (2x,2y)[/tex]
Using this rule, we get
[tex]S(4,-2)\to S'(2(4),2(-2))[/tex]
[tex]S(4,-2)\to S'(8,-4)[/tex]
Therefore, the new coordinates of point S' are (8,-4).
Find the volume of the cone. Round your answer to the nearest tenth.
The volume of the cone is about ____ cubic inches.
PLEASE HELP!
Please find the area of the composite figure. Number only please. Thank you!!
Answer:
47(whatever the unit is square)
Step-by-step explanation:
7. What is the solution set for -2x-8<2?
Answer:
-2x - 8 < 2
-2x < 10
x > -5
The measure of an angle is 77°. What is the measure of its complementary angle?
Answer:
13º
Step-by-step explanation:
Complementary angles are angles that add up to 90º. So, subtract 77 from 90, and you get 13.
emile will use less than 1/2 cup of sugar for a recipe what fraction might emile use?
Answer:
1/4, 1/8, 1/5, *Actually there are a lot of possibilities.*
Step-by-step explanation:
Answer:
She could use 1/3, 1/4, 1/5...
Step-by-step explanation:
I think the question is asking you for fractions smaller than 1/2, but Im not sure. Sorry if this wasnt the answer you were looking for.
Rmember that the bigger the denominator (bottom number), the smaller the fraction.
John can play 12 songs on his guitar but learns 1 new song every week. Aiden can play 4 songs but learns 2 every week
Given :
John can play 12 songs on his guitar but learns 1 new song every week. Aiden can play 4 songs but learns 2 every week.
To Find :
How many weeks will it be before Aiden knows as many songs as john?
Solution :
Let, after x weeks Aiden know a songs and John know j songs.
The linear equation for both the situation is :
a = x + 12 .....( For Aiden )
j = 2x + 4 ......( For John )
We need to find in which week Aiden knows as many songs as John.
For this , a = j
x + 12 = 2x + 4
x = 8
Therefore, in 8th week both of them know the same number of songs.
A triangle has a perimeter of 88 feet. The second side is 5 feet longer than the first. The third side is 3 feet longer than the first. What is the length of each side? (SHOW ALL WORK) Use the 5-D Process.
NOT
0.91666666666 as answer please
Answer:
11/12
Step-by-step explanation:
2/12 +9/12 = 11/12
Could anyone help me with this question? Thank you!
Answer:
C
Step-by-step explanation:
We want to simplify the rational expression:
[tex]\displaystyle \frac{n^4-11n^2+30}{n^4-7n^2+10}[/tex]
First, we can factor both the numerator and the denominator. This yields:
[tex]\displaystyle =\frac{(n^2-6)(n^2-5)}{(n^2-2)(n^2-5)}[/tex]
Cancel like terms:
[tex]\displaystyle =\frac{(n^2-6)}{(n^2-2)}[/tex]
However, since we canceled a term from our expression, we must place restrictions in order to stay true to the original expression.
Rational expressions are undefined whenever the denominator equals 0. The denominator is (before canceling):
[tex](n^2-2)(n^2-5)=0[/tex]
Solve for n. By the zero product property:
[tex]n^2-2=0\text{ and } n^2-5=0[/tex]
Therefore:
[tex]n^2=2\text{ and } n^2=5[/tex]
By taking the square root of both sides (since we are taking an even root, it is required to have plus/minus):
[tex]n=\pm\sqrt{2}\text{ and } n=\pm\sqrt5[/tex]
Therefore, our fully simplified expression is:
[tex]\displaystyle \frac{n^2-6}{n^2-2}\, ,n\neq \pm\sqrt5, \pm\sqrt2[/tex]
Hence, our answer is C!
In a baseball card collection, 40% of the cards are worth more than 100$. If 12 cards in the collection are worth more than $100, how many total baseball cards are in the collection?
Answer:
30
Step-by-step explanation:
12 is 40% of the total number of cards.
12 = 0.4x, where x is total number of cards
/0.4 /0.4
30 = x
30 cards
1/5 as a decimal and rounded to the nearest tenth
Answer:
0.2
Step-by-step explanation:
1 divided by 5
2/5=0.4
3/5=0.6
4/5=0.8
5/5=1
Which of the following is a Prime Number? 9, 5,4
Answer:
5
Step-by-step explanation:
9 = 1,3,9
5 = 1,5
4 = 1,2,4
Please help, will mark brainliest
Answer:
The picture is just a black screen. Please tell me the question in the comments and I will try to help!
Step-by-step explanation:
Identify the solution to the system
Answer:
The solution is where the two lines intersect so
(1, 3)
x= 1
y= 3
Step-by-step explanation:
at a school, 40% of the sixth grade students said that hip hop is their favorite kind of music. if 100 sixth grade students perfer hip hop music, how many sixth grade students are at the school?
Answer:
Step-by-step explanation:
250 students are in the 6th grade have a good night it is night hear if you live in America east side 10:34 PM
From the set {24, 36, 72}, use substitution to determine which value of x makes the inequality true. A. 72 B. 36 C. none of these D. 24
Complete question :
From the set {24, 36, 72}, use substitution to determine which value of x makes the inequality true.
x ÷ 12 < 3
Answer:
24
Step-by-step explanation:
Given the inequality : x ÷ 12 < 3
Substitute the values in the set for X and test the inequality expression if it hoods true for each of the substituted value.
x = 24
24 ÷ 12 < 3
2 < 3 (true)
x = 36
36 ÷ 12 < 3
3 < 3 (false)
x = 72
72 ÷ 12 < 3
6 < 3 (false)
Chad is taking a taxi from the airport to his home. There is a $7 flat fee for riding in the taxi. In addition, Chad must pay $2 per mile. How much will Chad pay if he takes the taxi for 50 miles? Group of answer choices
Answer:
$107
Step-by-step explanation:
Total amount paid = flat fee + price per mile x total mile
$7 + 50($2) = $107
Write the word sentence as an equation. Then solve the equation. The quotient of a number and $-1.5$ is $21$ . Equation: Question 2 Solution: $x=$
Answer:
b
Step-by-step explanation:
5. For which linear function below does f(-1) = 9 and f(3) = 1?
if anyone knows help :]
Does anyone know this answer??
Answer:
Option B is your answer ☺️☺️☺️
Using the order of operations, what should be done first when evaluating this expression? -1/2 ÷ 2 (9 + 3) - 4 - 3/4 (8)
divide -1/2 ÷2
add 9 + 3
multiply -3/4 (8)
subtract 3 - 4
Answer:
multiply -3/4 (8)
Step-by-step explanation:
what is multimedia? explain various types of multimedia.
Answer:
multi media is the computer system that has graphics, animation, text, video , etc
solve simultaneously
[tex] {2}^{x} + {3}^{y} = 9 \\ {2}^{x + 2} - {3}^{y + 1} = 8[/tex]
Answer:
I hope this helps you :)
Answer:
2x+3y=9
2x+2-3y+1=8
2x-3y=8
2x-3y+3y=8+3y
2x=8+3y
2x=8+3y
2 2
x=8+3y
2
2(x) +3y=9
2* (8+3y)/2 +3y=9
(16+6y)/2)+3y=9
2*(16+6y)/2)+3y=9
16+6y+6y=18
6y+6y=18-16
12y=2
12y = 2
12 12
y=2
12
y=0.16666666666667
2x+3 (0.16666666666667)=9
2x+0.5=9
2x=9-0.5
2x=8.5
2x = 8.5
2 2
x=8.5
2
x=4.25
Translate triangle ABC 4 units right and 5 units down H E L P
What is the measure of angle DEG on circle O
9514 1404 393
Answer:
50°
Step-by-step explanation:
Angle DEG is also angle DEC. It subtends arc DC as does inscribed angle DFC. Inscribed angles that subtend the same arc have the same measure.
∠DFC = ∠DEG = 50°
Answer: 50
Step-by-step explanation: Khan Academy
40 to a ratio of 2:3
Answer: 16:24
Step-by-step explanation:
add the ratio so 2+3=5
Divide from 40 so 40/5=8
multiply by individual ratios
2*8:3*8= 16:24
A farmer sells 6.1 kilograms of pears and apples at the farmer's market. 4 5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Answer:
1.6
Step-by-step explanation:
6.1 kilograms - 4.5 kilograms = 1.6 kilograms
FIND THE MEASURE OF THE MISSING ANGLE
Answer: the answer is 66
Step-by-step explanation: 180-90-24=66
Well the sum of all the angles of a triangle is 180˚ so 24+90=114˚
180˚-114˚=66˚.
IM BEGGING PLEASE HELP One angle of the triangle is 30% larger than the other and 36 ° smaller than the third. Find the angles of the triangle.
9514 1404 393
Answer:
52°, 40°, 88°
Step-by-step explanation:
Let x represent "one angle". This is 30% larger than "the other", so we have ...
x = "the other" × (1 +30%)
x/1.30 = "the other"
If x is 36° smaller than the third, then the third is x+36.
__
The sum of the angles is 180°.
x + x/1.3 + (x +36) = 180
x(2 +1/1.3) = 144
x = 144/(2 +1/1.3) = 52
x/1.3 = 52/1.3 = 40
x +36 = 88
The angles of the triangle are 52°, 40°, and 88°.