Answer:
[tex]R(x,y) = (0.8,-1.2)[/tex]
Step-by-step explanation:
The coordinates of QS are:
[tex]Q(x_1,y_1) = (-2,-6)[/tex]
[tex]S(x_2,y_2) = (5,6)[/tex]
The ratio is represented as:
[tex]R_{m:n} = 2:3[/tex]
Required
Find the coordinates of R
The coordinates of R is calculated by:
[tex]R(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
Substitute values for m, n, x's and y's
[tex]R(x,y) = (\frac{2 * 5 + 3 * -2}{2+3},\frac{2*6 + 3*-6}{2+3})[/tex]
[tex]R(x,y) = (\frac{4}{5},\frac{-6}{5})[/tex]
[tex]R(x,y) = (0.8,-1.2)[/tex]
None of the options is correct
I need help with this question
Answer:
The answer would be YES, it is a dialation
Step-by-step explanation:
LOOK HERE IF YOU ANSWER CORRECTLY YOU PASS 8th grade
You get a loan for $2500 with a simple interst of 16% for 3 years. How much to you have to pay back?
Answer:
$3,700
Step-by-step explanation:
16% of 2500=400
400×3(years)=1200
2500+1200=3700
please help me with this
I need serious help, this is hard
Answer:
CD = AC
Step-by-step explanation:
CD = AC. "bisect" means "to divide in half." Half of AD is either AC or BC, which are equal to each other.
Which equation is NOT a linear function?
Answer:
y=x^2-2
Step-by-step explanation:
It should be this one because if you have x squared it will be a parabola. A line should have a consistent slope. so Somethingx + y intercept =y
help please !! thank you!
Answer:
.5
Step-by-step explanation:
if you put ur mouse on -2 then move to the right 1.5 you will get .5
Hope this Helps!!!
Answer:
-.5
Step-by-step explanation:
1.5 +-2 is -.5 hope this helps
Determine which quadrilaterals match the figure parallelogram, rhombus, rectangle, or square? Select all
that apply.
X
W
Z
Given: m 2WXY = 130°,m XWZ = 50°, ZWZY = 130°
A
parallelogram
B.
rectangle
C
square
D
rhombus
Answer:
(A) Parallelogram is the right answer.
Which set of ordered pairs represents y as a function of x?
A. {(2, 5), (3, 1), (4, 1), (4, 7)}
B. {(3, 2), (4, 3), (3, 2), (2, 6)}
C. {(1, 3), (3, 5), (2, 5), (1, 6)}
D. {(6, 7), (4, 6), (-4, 4), (5, 1)}
Answer:
D
No repeated x values
Step by step explanation
Answer:
[tex]\huge\boxed{\sf x =\frac{7}{2} , y = -3}[/tex]
Step-by-step explanation:
2x + 4y = -4 ------------------------(1)
3x + 5y = -3 ------------------------(2)
Multiply Eq. (1) by 3
3(2x + 4y) = -4 * 3
6x + 12y = -12 ---------------------(3)
Multiply Eq. (2) by 2
2(3x + 5y) = -3 * 2
6x + 10y = -6 ---------------------(4)
Subtract Eq. (4) from (3)
6x + 12y - ( 6x + 10y ) = -12 - (-6)
6x + 12y - 6x - 10y = -12 + 6
12y - 10y = -6
2y = -6
Divide 2 to both sides
y = -6 / 2
y = -3
Put y = -3 in Eq. (1)
2x + 4(-3) = -5
2x - 12 = -5
Add 12 to both sides
2x = -5 + 12
2x = 7
Divide 2 to both sides
x = 7 / 2
So,
x = 7 / 2 , y = -3
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807A few weeks ago, Kristen bought 10 apples from her local farmers' market. Today, the number of apples Kristen bought was 20% higher. How many apples did she buy today?
Answer:
12
Step-by-step explanation:
point E is located at (-1,-6) on the coordinate plane. Point E is reflected over the y-axis to create point E' . Point E' is then reflected over the x-axis to create point E'' . What ordered pair describes the location E''?
The length of a rectangle is one more than twice its width. If its perimeter is 20 inches, what is its length and width?
Answer:
Let length be L
Width be W
L=1+2W
Perimeter(p) of rectangle is
P=2L+2W
But L = 1+ 2W and p= 20
:. 20 =2(1+2W) +2W
20=2+4W+2W
18=6W
Divide both sides by 6
W =3
2W+1=L
6+1=L
L=7
Hence, length and width are 7in and 3in respectively
Step-by-step explanation:
What is the value of x?
Answer: 10^2 = x^2 plus 6^2
100= x^2 + 36
64=x^2
8
Step-by-step explanation:
-3x + 12 = 18 please help it’s urgent
Answer:
Move all terms that don't contain x to the right side and solve.
x = −2
Answer:
x=-2
Step-by-step explanation:
-3x-2=6
6+12=18
if you have to do 198 assignments in 27 days how many assignments should you do daily?
Answer:
8 assignments a day
Step-by-step explanation:
Help mehhhhhhhhhhhhhh.
Question is which equation represents the line shown on the graph?
Answer:
y=-3/5 or C
Step-by-step explanation:
Find the value of x
Step-by-step explanation:
(4x-7)°=(7x-61)°
61-7=7x-4x
54=3x
x=18°
hi everyone how are you and what is 4 divieded by 12
ookies. OK
How to calculate 12 divided by 4
Long Division
Here we will show you step-by-step with detailed explanation how to calculate 12 divided by 4 using long division.
Before you continue, note that in the problem 12 divided by 4, the numbers are defined as follows:
12 = dividend
4 = divisor
Step 1:
Start by setting it up with the divisor 4 on the left side and the dividend 12 on the right side like this:
4 ⟌ 1 2
Step 2:
The divisor (4) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:
0
4 ⟌ 1 2
Step 3:
Multiply the divisor by the result in the previous step (4 x 0 = 0) and write that answer below the dividend.
0
4 ⟌ 1 2
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.
0
4 ⟌ 1 2
- 0
1
Step 5:
Move down the 2nd digit of the dividend (2) like this:
0
4 ⟌ 1 2
- 0
1 2
Step 6:
The divisor (4) goes into the bottom number (12), 3 time(s). Therefore, put 3 on top:
0 3
4 ⟌ 1 2
- 0
1 2
Step 7:
Multiply the divisor by the result in the previous step (4 x 3 = 12) and write that answer at the bottom:
0 3
4 ⟌ 1 2
- 0
1 2
1 2
Step 8:
Subtract the result in the previous step from the number written above it. (12 - 12 = 0) and write the answer at the bottom.
0 3
4 ⟌ 1 2
- 0
1 2
- 1 2
4x^2 - 12x - 3
what would the answer be if x = 7
Answer:
4(7)^2-12(7)-3
4×49-84-3
112-3
109
Answer: Your correct and final answer should be 109.
Step-by-step explanation:
All you need to do solve this problem is substitute for X using 7. {After you you plug just use PEMDAS and solve from left to right or use a calculator}
4(7)^2 -12(7) -3
4×49 -84 -3
112-3 = 109
The measures of the acute angles of a right triangle are in the ratio 5:7
Answer:
37.5:52.5
Step-by-step explanation:
5u + 7u = 90
12u = 90
u = 7.5
So the angles are (5x7.5) =37.5 degrees
(7x7.5) = 52.5 degrees.
Jamie puts an initial $900 into a savings account. The account has a 7% annual compound interest rate. What is the function that best represents Jamie's account and how much does he have in savings after 5 years? Round your answer to the nearest dollar.
Hint: Use the formula, f(x) = P(1 + r)x
A. f(x) = 900(1.7)x, $1,081
B. f(x) = 900(1.07)x, $1,262
C. f(x) = 900(1.07)x, $1,081
D. f(x) = 900(0.07)x, $1,262
Answer:
D. f(x)=900(0.07)^x.1,262
Step-by-step explanation:
You would have to use the P(1+r)^x
P= starting amount
R= rate of change or the percentage changed into a decimal
x= time
So it would be, 900(1+0.07)^5
calculating that you would get 1,262.3. but approximately it's 1,262.
Hope this helped
at the neighborhood block party, k'neisha noticed that every 5 minutes, the shadow of a nearby pine tree got six inches longer. at 4:00 pm, the shadow was 12 feet long. How long was the shadow at 5:00 pm
Answer:
18 feet
Step-by-step explanation:
60 mins an hour
5 mins + 6 inches
60/5=12
12*6 = 72
12 feet +72 inches
72 inches = 6 feet
18 feet
I NEED THIS QUICK HELP!
Pilar bought 2/3 pound of turkey. She ate 1/4 of the turkey that she bought for lunch.
How many pounds of turkey did she eat?
Enter your answer in the box as a fraction in simplest form.
Answer:
1/6 lbs
Step-by-step explanation:
2 1 1
- X - = -
3 4 6
Answer: She ate 5/12 of the turkey.
Step-by-step explanation:
First, find a common denominator by multiplying each fraction by the denominator of the other. By doing this, you should get 8/12, and 3/12.
Next, subtract them!
ex: 2/3= 8/12
1/4=3/12
8/12-3/12=5/12
Divide 1 1/2 divided by 1/4 in simplest form
Answer:
6
Step-by-step explanation:
1 1/2 divided by 1/4. Firstly you simplify the mixed number 1 1/2 to an improper fraction to make the process easier. So if it is simplified it would be 3/2.
Now you follow the division process and then simply the answer and it would be 6.
Answer:
Answer is 6
Step-by-step explanation:
Change 1 1/2 into 3/2
Multiply by the reciprocal: 3/2 x 4/1
3/2 x 4/1 = 12/2
12 divided by 2 = 6
Hope this helps :)
State the domain: a) 1/x
Help please Someone!!!
Answer:
Joshua saves 5 less. Its C.
Step-by-step explanation:
Tell me if u need an explanation.
What is the slope of a line that passes through the origin and the point (-2,1)?
Answer:
The slope would be -1/2.
Step-by-step explanation:
Since, the midpoint of the segment joining the points P (0, -4) and B (8, 0),
= ( 4, -2 ),
Now, the slope of the line passes through the origin and the point ( 4, -2) is,
= -1/2
i think thats the answer HOPE IT HELPS YOU THOUGHsimply the expression in the simplest form
Answer:
[tex]\frac{\sqrt[3]{20}}{5}[/tex]
Step-by-step explanation:
Let [tex]x = \sqrt[3]{\frac{4}{25}}[/tex], we proceed to show the procedure to determine the simplest form of this number:
1) [tex]\sqrt[3]{\frac{4}{25} }[/tex] Given.
2) [tex]\left(\frac{4}{25}\right)^{1/3}[/tex] Definition of cubic root.
3) [tex][4\cdot (25)^{-1}]^{1/3}[/tex] Definition of division.
4) [tex](4)^{1/3}\cdot [(25)^{-1}]^{1/3}[/tex] [tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]
5) [tex]\{(4)^{1/3}\cdot [(25)^{-1}]^{1/3}\} \cdot \{[(25)^{-1}]^{2/3}\cdot [(25)^{-1}]^{-2/3}\}[/tex] Modulative and associative properties/Existence of multiplicative inverse/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]
6) [tex]\{(4)^{1/3}\cdot [(25)^{-1}]^{-2/3}\}\cdot \{[(25)^{-1}]^{1/3}\cdot [(25)^{-1}]^{2/3}\}[/tex] Commutative and associative properties
7) [tex]\{(4)^{1/3}\cdot [(25)^{-1}]^{-2/3}\}\cdot (25)^{-1}[/tex] [tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]
8) [tex][(4)^{1/3}\cdot (25)^{2/3}]\cdot (25)^{-1}[/tex] [tex](a^{b})^{c} = a^{b\cdot c}[/tex]
9) [tex][4\cdot (25)^{2}]^{1/3}\cdot (25)^{-1}[/tex] [tex](a^{b})^{c} = a^{b\cdot c}[/tex]/[tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]
10) [tex](2500)^{1/3}\cdot (25)^{-1}[/tex] Definition of power and multiplication.
11) [tex][(125)\cdot (20)]^{1/3}\cdot (25)^{-1}[/tex] Definition of multiplication.
12) [tex](125)^{1/3}\cdot [(20)^{1/3}\cdot (25)^{-1}][/tex] [tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]/Associative property.
13) [tex]5\cdot [(20)^{1/3}\cdot (25)^{-1}][/tex] Definition of cubic root.
14) [tex]5\cdot [(20)^{1/3}\cdot (5)^{-1}\cdot (5)^{-1}][/tex] Definition of multiplication/[tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]
15) [tex][(20)^{1/3}\cdot (5)^{-1}][5\cdot (5)^{-1}][/tex] Commutative and associative properties.
16) [tex](20)^{1/3}\cdot (5)^{-1}[/tex] Existence of multiplicative inverse/Modulative property
17) [tex]\frac{\sqrt[3]{20}}{5}[/tex] Definitions of cubic root and division/Result
4
Drag each value and expression to the correct location on the equation. Not all values and expressions will be used.
A patch of farmland is currently worth $78,125. The expected increase in its market value can be modeled by the function below, where tis the
time in years.
P(t) = 78,125 0.025:
How many years will it take for the farmland's market value to reach $125,000?
6.4
In(1.6)
0.025
18.8
13.6
years
years
Reset
Next
Answer: t = 18.8 years
Step-by-step explanation: The modeled function is an exponential function:
[tex]P(t)=78,125e^{0.025t}[/tex]
which is farmland worth along time.
To determine when the farmland will be worth $125,000:
[tex]125,000=78,125e^{0.025t}[/tex]
[tex]e^{0.025t}=\frac{125,000}{78,125}[/tex]
[tex]e^{0.025t}=1.6[/tex]
Apply natural logarithm:
[tex]ln(e^{0.025t})=ln(1.6)[/tex]
And then, power rule:
[tex]0.025t=ln(1.6)[/tex]
[tex]t=\frac{ln(1.6)}{0.025}[/tex]
t ≈ [tex]\frac{0.47}{0.025}[/tex]
t ≈ 18.8
After 18.8 years, the farmland will reach market value of $125,000.
Answer:
Step-by-step explanation:
For all Plato users.
Jim is mailing packages. Each small package costs him $3.20 to send. Each large costs him $4.70. How much will it cost him to send 1 small package and 4 large packages?
Answer:
$3.20 for the small and $4.70 for the large packages.
Step-by-step explanation:
multiply 3.20 by 1 since that is the price of mailing a small package and you want to mail 1.
multiply 4.70 by 4 since that is the price of a large one and you want to mail 4.
3.20 x 1 =3.20
4.70 x 4=18.80