Using proportions, it is found that the coordinates of point C are given as follows: C(-7, -2).
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Point C divides the line segment OP into the ratio 3:5, hence the following equation is used to relate the points:
[tex]C - O = \frac{3}{8}(P - O)[/tex]
Then, for the x-coordinate:
[tex]x + 10 = \frac{3}{8}(-2 + 10)[/tex]
x + 10 = 3
x = -7
For the y-coordinate:
[tex]y + 8 = \frac{3}{8}(8 + 8)[/tex]
y + 8 = 6
y = -2
The coordinates of point C are given as follows: C(-7, -2).
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Pls help me and show work! Thank you <3
Answer: 22
Step-by-step explanation:
By the corresponding angles theorem, [tex]5x-16=2x+50 \longrightarrow x=\boxed{22}[/tex]
A family spends $30,000 a year for living expenses. If prices increase by 5 percent a year for the next three years, what amount will the family need for their living expenses after three years?
Answer:
The family will need $34500.
Step-by-step explanation:
1. 5% of 30000 is 1500.
2. 3 times 1500 is 4500.
3. Add 4500 and the starting amount.
4x^(4)+8x^(3)-2x^(2) write as a product
Verify 18×(7×(-3)=18×7+18×(-3)
Is LHS= RHS ?
[tex]18*(7*(-3))=18*7+18*(-3)\\18*-21=126 - 54\\-378 \neq 72[/tex]
LHS [tex]\neq[/tex] RHS
Answer :
To verify an equation, we need to see if the LHS = RHS.
Equation [tex]\downarrow[/tex]
[tex]18\times(7\times(-3))=18\times7+18\times(-3)[/tex]
Let's solve the left hand side (LHS) first.
[tex]18\times(7\times(-3))\\= 18 \times (-21)\\=\underline{ -378}[/tex]
Now, let's solve the right hand side (RHS).
[tex]18\times7+18\times(-3)\\= 126 - 54\\=\underline {72}[/tex]
But,
[tex]\boxed{-378 \neq 72}[/tex]
We can see that the LHS doesn't match or isn't equal to the RHS.
Hence, we can say that LHS [tex]\neq[/tex] RHS & the equation is NOT true.
[tex]\rule{150pt}{2pt}[/tex]
I need helpp pleasee!!
Answer:
200 ft per min.
Step-by-step explanation:
So this is asking if so and so can walk 3000 ft in 15 min, how many ft can they walk in 1 min.
So just divide the 3000 and 15 by 15.
So 200 over 1.
I got this wrong. not sure where I went wrong
Answer:
[tex]\left( x-2\right)^{2} +\left( y-6\right)^{2} =12[/tex]
Step-by-step explanation:
Formula ………………………………………………………………………
The equation of a circle with center (a , b) and radius r is :
[tex]\left( x-a\right)^{2} +\left( y-b\right)^{2} =r^{2}[/tex]
===================
Now ,let’s apply what we have learnt:
The equation of the circle with center (a , b) = (2 , 6) and radius r = 2√3 is :
[tex]\left( x-2\right)^{2} +\left( y-6\right)^{2} =\left( 2\sqrt{3} \right)^{2}[/tex]
[tex]\Longleftrightarrow \left( x-2\right)^{2} +\left( y-6\right)^{2} =12[/tex]
[tex]\text{Note :} \left( 2\sqrt{3} \right)^{2} =2^{2}\times \sqrt{3}^{2} =4\times3=12[/tex]
what is the answer to the equation below??
4 1/2 ÷ 1/2
Step-by-step explanation:
first of all, remember. when dividing by a fraction, this is the same as multiplying by the upside-down fraction.
and all these signs (including the fraction sign) stand for divisions and really do the same thing and can be exchanged with each other : "/", "÷", ":"
and when writing a number like 4 1/2, it is a shortcut and means actually (4 + 1/2).
so,
4 1/2 ÷ 1/2 = 4 1/2 × 2/1 = 4 1/2 × 2 = (8/2 + 1/2)×2 =
= 9/2 × 2 = 18/2 = 9
can i have some asap asap help?
thanks
Answer:
[tex]y=2(x-2.5)^2-1.5[/tex]
Step-by-step explanation:
[tex]y=2x^2-10x+11[/tex]
Factor highest common numerical factor of the first two terms:
[tex]y=2(x^2-5x)+11[/tex]
Add [tex](\frac{-5}{2})^2[/tex] inside the parentheses and subtract [tex]2(\frac{-5}{2})^2[/tex]:
[tex]y=2(x^2-5x+6.25)+11-12.5[/tex]
[tex]y=2(x^2-5x+6.25)-1.5[/tex]
Factor parentheses:
[tex]y=2(x-2.5)^2-1.5[/tex]
Compare to vertex form of parabola
y=a(x-h)²+kVertex at (2.5,-1.5)
can I have detailed explanation please
Answer:
Pls refer
Step-by-step explanation:
I hope you understand
Feel free to ask any doubts
P(A) = 0.36,P(B)=0.30 and P(AnB)=0.12
Find P(A/AUB).
N
VOLUME OF TRIANGULAR PRISMS
8.9 cm
8 cm
14 cm
8 cm
Answer:
448 cm³
Step-by-step explanation:
Finding volume :
V = LWH/2V = 1/2 x 14 x 8 x 8V = 7 x 64V = 448 cm³Answer: 448 cm³
Step-by-step explanation:
Volume of a triangle prism can be found with;
V = [tex]\frac{1}{2}[/tex] * W * L * H
V = [tex]\frac{1}{2}[/tex] * W * L * H
V = [tex]\frac{1}{2}[/tex] * 8 cm * 14 cm * 8 cm
V = [tex]\frac{1}{2}[/tex] * 8 cm * 14 cm * 8 cm
V = 448 cm³
The triangle prism has an area of 448 cm³
The cost in dollars of making x
items is given by the function C(x)=10x+900
.
a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item.
Fixed cost =$
b. What is the cost of making 25
items?
C(25)=$
c. Suppose the maximum cost allowed is $1900
. What are the domain and range of the cost function, C(x)
?
When you enter a number in your answer, do not enter any commas in that number. In other words if you want to enter one thousand, then type in 1000 and not 1,000. It's not possible to understand what the interval (1,000,2,000) means, so you should write that as (1000,2000).
The cost in dollars of making x items is given by the function C(x) = 10x + 900. The fixed cost is 900 dollars. C(25 ) = $1150. The Range is 250.
What is a function?The function is a type of relation, or rule, that maps one input to specific single output.
The cost in dollars of making x items is given by the function
C(x) = 10x + 900
a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item.
The fixed cost
C(0) = 10(0) + 900
= 0 + 900
= $900
b. What is the cost of making 25 items?
C(25) = 10(25) + 900
= 250 + 900
= $1150
Therefore, C(25 ) = $1150
c. Suppose the maximum cost allowed is $1900. What are the domain and range of the cost function, C(x)?
The domain is the set of values for which the given function is defined.
Range = Maximum value of the data set - Minimum value of the dataset
Range = C(25 ) - C(0)
= 1150 - 900
= 250
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jackson inherited $5000 and wants to invest it for a few years so he can buy a used car. the best annual simple interest rate that he can find is 5.25% interest added every year on the anniversary of the initial deposit. how many years must he wait before his investment exceeds $8500
A certain race car can sustain a top speed of
250 miles per hour on a straight road. If this
car had an infinitely-long straight road to
drive upon, how many miles could this race
car travel at top speed in 45 seconds?
(A) .555
(B) 3.125
(C) 187.5
(D) 11,250
Answer:
C
Step-by-step explanation:
250÷60×45=187.5
Answer is C.
Hiya !
I need help. . .
Which of the following is a rational number?
[tex]\sf{a) \: \sqrt{20}}[/tex]
[tex]\sf{b) \: \pi}[/tex]
[tex]\sf{c) \: \sqrt{21}}[/tex]
[tex]\sf{d) \: \sqrt{25}}[/tex]
(remember no calculator if you're trying to use it)
→ Make an explanation to this. don't cheat!
Answer:
root 25
Step-by-step explanation:
root 25 is 5, and every other number may not be able to be written as a whole number (please give brainliest)
Answer:
D) √(25)
Step-by-step explanation:
√(25) is a rational number because it is a perfect square of 5.
A store is having 10% off all pairs of shoes do you want a pair of shoes that normally cost $75 what is the sale price of the pair of shoes you want
Answer:
You pay 67.5 for the shoes.
Step-by-step explanation:
10% of 75 is 7.5.
75 - 7.5 = 67.5
Please Mark Brainliest!
Answer:
Here ya go! Hope it helps
Write the algebraic equation for the following: The sum of 4 and another number is 22.
Answer:
[tex]4+x=22[/tex]
Step-by-step explanation:
Hope this helps
Which expression is equivalent to (3x4+17x3−x)+(−2x4−5x)?
The equivalent expression of the given expression (3x⁴ + 17x³ − x) and (− 2x⁴ − 5x) will be (x⁴ + 17x³ − 6x).
What is an equivalent function?The equivalent is the functions that are in different forms but are equal to the same value.
The expression is given below.
(3x⁴ + 17x³ − x) + (− 2x⁴ − 5x)
Then the equivalent expression of the given expression will be
3x⁴ + 17x³ − x − 2x⁴ − 5x
x⁴ + 17x³ − 6x
The equivalent expression of the given expression (3x⁴ + 17x³ − x) and (− 2x⁴ − 5x) will be (x⁴ + 17x³ − 6x).
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The net below depicts a triangular prism. What is the total surface area of the prism? And please explain how did you get your answer. A.282 cm B. 210 cm C.312 cm D. 624 cm
solve the matrix equation below. What is the value of x in the new matrix?
The new matrix that is formed by the 3A + B is given below. Then the value of x is 102.
[tex]\begin{bmatrix} w & z \\y & z \\\end{bmatrix} = \begin{bmatrix} 46 & 102 \\15 & -2 \\\end{bmatrix}[/tex]
What is the matrix?A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The [tex]a_{ij }[/tex] element in a matrix, such as M, refers to the i-th row and j-th column element.
The matrices are given below.
[tex]\rm A = \begin{bmatrix}9 & 27 \\0 & 6 \\\end{bmatrix}\\\\\\B = \begin{bmatrix}19 & 21 \\15 & -20\\\end{bmatrix}[/tex]
Then the new matrix is given as 3A + B. Then we have
[tex]\rm 3A + B =\begin{bmatrix} w & z \\y & z \\\end{bmatrix}\\\\\\3A + B =3 \times \begin{bmatrix}9 & 27 \\0 & 6 \\\end{bmatrix} + \begin{bmatrix}19 & 21 \\15 & -20\\\end{bmatrix}\\\\\\3A + B = \begin{bmatrix}27& 81\\0 & 18\\\end{bmatrix} + \begin{bmatrix}19 & 21 \\15 & -20\\\end{bmatrix}\\\\\\3A + B = \begin{bmatrix} 46 & 102 \\15 & -2 \\\end{bmatrix}[/tex]
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Plsss helpp
f(x) = x2 What is g(x)?
g(x)-
-(1,9)
f(x)
х
-10
10
-10
O A. g(x) = (9x)2
O B. g(x) = (3x)2
O c. g(x) = 3x2
O D. g(x)=
90x)= (3x)
If the given function is f(x)=x², the value of g(x) will be (3x)².
What is a function?Each value in the domain is connected to exactly one value in the range according to the function, which is described as a specific form of relationship. They have a predetermined range and domain.
It is given that the coordinate values on the graph g (x) are (1, 9).
Now, For the given function,
g (x) = (3x)²
At point (1, 9)
g (1) = (3(1))²
g(1) = 3²
g( 1) = 9
Since, g(x) = (3x)² satisfies the given coordinate values it will be the obtained result.
Thus, the obtained function will be g(x)= (3x)².
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2 2/3 +2 2/3 + 2 2/3 +2 2/3+5
Answer:
15 2/3
Step-by-step explanation:
[tex]5\frac{2}{3} + 2 \frac{2}{3} = 8[/tex]
[tex]8 + 2 \frac{2}{3} + 5[/tex]
[tex]10 \frac{2}{3} + 5 = 15 \frac{2}{3} [/tex]
[tex]15 \frac{2}{3} [/tex]
Answer:
15 2/3
Step-by-step explanation:
What Is The Recursive Rule For The Sequence? 1.2, 0.4, -0.4, – 1.2, -2,
[tex]\boxed{\bold{a_n = a_{n-1} -0.8}}[/tex]
Explanation:Sequence: 1.2, 0.4, -0.4, – 1.2, -2,...
See that with every next term, the integers are decreasing by 0.8
So, common difference (d) = -0.8recursive formula : [tex]\sf a_n = a_{n-1} +d[/tex]
[tex]\bold a_1 = 1.2,[/tex] [tex]\sf a_n = a_{n-1} + (-0.8)[/tex]
What are the coordinates of Point B?
(4, -3)
(-4, 3)
(3, -4)
(-3, 4)
Answer:
( -4 , 3 )
Step-by-step explanation:
Knowing that "y" is the line going up and down and "x' is the line going left to right.
Quadrant | = ( + , + )
Quadrant || = ( - , +)
Quadrant ||| = (- , - )
Quadrant |v = ( + , - )
Refer to image below if needed.
Hence, from the given we can conclude the following:
Quadrant || = ( - , +)
( x , y )
x = -4
y = 3
Thus, we have:
( -4 , 3 )
Therefore, the correct answer is ( -4 , 3 )
Kavinsky
Answer:
B.Step-by-step explanation:
The location on point B is quadrant II.
But what do we not know?
What the coordinates of point B are.So, lets find it in the most simple way:
Start at the origin.From the origin, move 4 spaces to the left on the x-axis.Then, move 3 spaces upward from the y-axis.Now, you are at point B.
In the explanation, the coordinates for x and y are right in my explanation. Read it carefully and find the coordinates:
2nd line: move 4 spaces to the left on the x-axis. This coordinate for that is -4.3rd line: move 3 spaces upward on the y-axis. this coordinate is 3.Now, lets pair that together:
(-4, 3).You have found the coordinates!
Correct choice is B.A person can ____ a car when deciding to use a car for more than a few days, but is not interested in purchasing the vehicle.
1. rent
2. lease
3. buy
Answer:
Rent
Step-by-step explanation:
When someone wants to buy something for a specific time without keeping it permanently, they rent it. Like a hotel, you rent a hotel for a certain number of nights, you do not stay there forever. When you buy something, you keep it forever, like buying a toy, it's your's and no one can rightfully take it from you. To lease something is to let someone rent the item you are leasing, so when they pay rent, you get paid.
give brainliest.
can you please help me:((..
Answer:
Step-by-step explanation:
Remark
The hyperbola opens to the left. That means that if you take ruler and apply it so it sits vertically in the middle of the hyperbola and draw a straight line, the line will go through 2 points.
What that means is that there is 1 x value and 2 y values - one above the x axis and one below.
Answer
This is NOT a function
what is the area of the figure to the nearest hundredth? pleeeaaase heeeeelp
Answer:
it's 44. something
it has something to do with the part circle it's a 180%
Answer: 26.93 square inches
Step-by-step explanation:
first let us find the area of the rectangle shape
rectangle area = length times width
rectangle area = 2 times 11
rectangle area = 22 inches
now let us do the half circle area
half circle area = 1/2(πr^2)
half circle area ~ 1/2 times 3.14(1)^2
half circle area ~ 1/2 times 3.14^2
half circle area ~ 1/2 times 9.8596
half circle area ~ 4.9298
now let’s add the half circle area and the rectangle area to get our total area
total area ~ 4.9298 + 22
total area ~ 26.9298
total area ~ 26.93
26.93 square inches is the total area rounded to the nearest hundredth.
Please help! I’m struggling!
Answer:
87 degrees
Step-by-step explanation:
The triangle with the angles 79 and 15, we can find the last value because all angles in a triangle add up to 180. So, 180-79-15= 86 degrees for the angle of the triangle.
Because the 86 degree angle is complimentary, or when added up to the adjacent angle, is 90 degrees (we see that little box sign), that means that 90-86=4 degrees for the upper triangle in the angle that isn't the question mark. Now that we know 2 values for the top triangle, we can solve for the third value by subtracting those two from 180.
180-89-4=87 degrees. Hope this helps!
Help! Please explain I have a test tomorrow !
base= 10 ft
height= 12 ft
to find:the surface area of the given pyramid.
solution:[tex]s.a = {a}^{2} + 2a \sqrt{ \frac{ {a}^{2} }{4} + {h}^{2} } [/tex]
[tex]s.a = {10}^{2} + 2 \times 10 \times \sqrt{ \frac{ {10}^{2} }{4} { \times 12}^{2} } [/tex]
[tex]s.a = 360 \: {ft}^{2} [/tex]
therefore, the surface area of the given pyramid is 360 square feets.
answer= option D
jeff read 5 pages in 12 minutes. at this rate, how many pages can he read in 1 hour?
Answer:
25 pages
Step-by-step explanation:
60 minutes in 1 hour. 60/12=5 5 x 5 =25