Answer:
The coordinates of the point S could be;
A. (-1, -1)
Step-by-step explanation:
The given parameters are;
The ratio of the length of the line RS to the length of the line RT = 1:2
The coordinates of point R = (2. 5)
The coordinates point T = (-4, -7)
Therefore, we have;
[tex]\dfrac{The \ length \ of \, RS}{The \ length \ of \, RT} = \dfrac{1}{2}[/tex]
[tex]\therefore {The \ length \ of \, RS} = \dfrac{1}{2} \times The \ length \ of \, RT[/tex]
The length of the line RT = √(((2 - (-4))² + (5 - (-7))²) = 6·√5
Therefore, we have;
[tex]{The \ length \ of \, RS} = \dfrac{1}{2} \times 6\cdot \sqrt{5} = 3 \cdot \sqrt{5}[/tex]
When the coordinates of the point S = (-1, -1), we have;
The length of the line RS = √(((2 - (-1))² + (5 - (-1))²) = √45 = 3·√5
Therefore, the coordinates of the point S could be (-1, -1)
find the value of given expression
[tex] \sqrt{440 + 1} [/tex]
Answer:
21
Step-by-step explanation:
[tex] \sqrt{440 + 1} \\ = \sqrt{441 } \\ = 21[/tex]
Evaluate d-17 when d=30
d-17
d=30
Replace d
30-17=13
Answer:
d-17
= 30-17
= 13
Step-by-step explanation:
Since d = 30, so d-17= 13
Diego works at a vegetable farm and earns $6.00/hour plus $1.25 for every full wagonload of picked vegetables. Write an expression to represent how much Diego eams if he works y hours and fills x wagonloads. Instruction : In the expression, let the term containing y come before the term containing x. Write the answer (without spaces) in the box given below
part B
if diego works six hours and fills 20 wagonloads, how much does he earn? write you answer in the box
PLEASE ANSWER INLY IF YOU K OW THE ANSWER
Answer:
6y + 1.25x
$61
Step-by-step explanation:
Diego works at a vegetable farm and earns $6.00/hour plus $1.25 for every full wagonload of picked vegetables. Write an expression to represent how much Diego earns if he works y hours and fills x wagonloads. Instruction : In the expression, let the term containing y come before the term containing x.
If Diego works six hours and fills 20 wagonloads, how much does he earn?
==================================================================
Let's Start!
So, we know Diego earns $6.00/hour.
We can write that as 6y, where y is the number of hours worked.
We also know that he earns $1.25 for every wagonload of picked vegetable.
We can write that as 1.25x, where x is the number of wagonloads filled.
So, to make our algebraic expression, we will separate the terms by a plus sign.
6y + 1.25x
PART TWO:
"If Diego works 6 hours"
6(6) + 1.25x =
"And Diego fills 20 wagonloads"
6(6) + 1.25(20) =
Simplify.
36 + 25= 61
So, Diego will earn $61
Hope I helped, have a nice day!
-Aadi x
What is the equation for the graph on question 1
Answer: f(x) = x^2 - 4*x
Step-by-step explanation:
This is a quadratic equation, that can be written in factorized form as:
f(x) = A*(x - a)*(x - b)
Where A is a real number, a and b are the roots of the equation.
In the graph we can see that the graph intersects the x-axis at x = 0, and x = 4, then:
a = 0
b = 4
So the equation is:
f(x) = A*(x -0)*(x - 4) = A*x*(x - 4)
Now we can also see that, the arms of the exponential open up, this means that A is positive, and we also can see that f(2) = -4
Then:
f(2) = A*2*(2 - 4) = -4
= A*2*(-2) = -4
= A*-4 = -4
A = -4/-4 = 1
A = 1
Then the equation is:
f(x) = x*(x - 4) = x^2 - 4*x
Please help out !
Select all of the quadratic expressions in vertex form.
A (x - 2)2 +1
B x2 - 4
C + (x+1)
D (+3)
E (3 – 4)² + 6
What are the coordinates of each point after quadrilateral ABCD is reflected across the y-axis and then translated 2 units down? Drag numbers to complete the coordinates. Numbers may be used once, more than once, or not at all. A coordinate plane with three trapezoids. Trapezoid A B C D has coordinates A 1 comma 1, B 2 comma 3, C 4 comma 3, and D 5 comma 1. –5–4–3–2–112345 A'( , ), B'( , ), C'( , ), D'( , )
Answer:
[tex]A" =(-1,-1)[/tex] [tex]B" =(-2,1)[/tex]
[tex]C" =(-4,1)[/tex] [tex]D" =(-5,-1)[/tex]
Step-by-step explanation:
Given
[tex]A = (1,1)[/tex] [tex]B =(2,3)[/tex]
[tex]C = (4,3)[/tex] [tex]D = (5,1)[/tex]
Required
The new coordinates after reflected across y-axis and shifted 2 units down
When a point is reflected across the y-axis, the rule is:
[tex](x,y)=>(-x,y)[/tex]
So:
[tex]A = (1,1)[/tex] [tex]=> A' = (-1,1)[/tex]
[tex]B =(2,3)[/tex] [tex]=> B' = (-2,3)[/tex]
[tex]C = (4,3)[/tex] [tex]=> C' = (-4,3)[/tex]
[tex]D = (5,1)[/tex] [tex]=> D' = (-5,1)[/tex]
When a point is translated 2 units down, the rule is:
[tex](x,y) => (x,y-2)[/tex]
So:
[tex]A = (1,1)[/tex] [tex]=> A' = (-1,1)[/tex] [tex]=> A" =(-1,-1)[/tex]
[tex]B =(2,3)[/tex] [tex]=> B' = (-2,3)[/tex] [tex]=> B" =(-2,1)[/tex]
[tex]C = (4,3)[/tex] [tex]=> C' = (-4,3)[/tex][tex]=> C" =(-4,1)[/tex]
[tex]D = (5,1)[/tex] [tex]=> D' = (-5,1)[/tex] [tex]=> D" =(-5,-1)[/tex]
So, the new coordinates are:
[tex]A" =(-1,-1)[/tex] [tex]B" =(-2,1)[/tex]
[tex]C" =(-4,1)[/tex] [tex]D" =(-5,-1)[/tex]
Simplify.If x=2, then what is 3x^2 - 2x + 1?
Step-by-step explanation:
3x^2-2x+1
3(2)^2-2(2)+1
3(4)-4+1
12-4+1
8+1=9 Answer
Step-by-step explanation:
3(2)^2 - 2x + 1
=3x4 - 2x + 1
=12 - 2x + 1
= 13 - 2x
Answer: 13 - 2x
the graphs below have the same shape. what is the equation o the red graph?
So the equation of the red graph is already given to us: [tex]f(x) = x^2[/tex]. I assume you meant the blue graph?
We can use the vertex form: [tex]y = a(x - h)^2+ k[/tex], where [tex](h,k)[/tex] is the vertex. (We can ignore [tex]a[/tex] because [tex]a[/tex] is 1 for this graph.) Remember that the vertex is the maximum or minimum of a parabola and the point that the line of symmetry passes through. For f(x) the vertex is (0,0).
The vertex for [tex]g(x)[/tex] is at [tex](-4, -2)[/tex] on the coordinate plane. (4 left, 2 down)
Plug into the vertex form:
[tex]y = (x - (-4))^2 -2[/tex]
The double negative becomes a positive, and then you're done:
[tex]y = (x + 4)^2-2[/tex]
in the sequence 80, 64, 48, 32, ..., what number should come next?
a) 96
b) 14
c) 31
d) 16
(b) sixteen is the answer
Answer:
16 should come next
Step-by-step explanation:
First, determine the rule
N, decreases by 16. We know this because 80-64 is 16, 64-48 is 16, 48-32 is 16, and so forth.
Therefore, subtract 16 from 32 to receive 16
Consider the pair of triangles given below. If MPN ~ XYZ then the length of side PN is?
Answer:
the answer should be 9, im not sure tho I vaguely remember this
Please help and make sure you get it right.
Answer:
Both 1 and 2
Step-by-step explanation:
Write 0.31% as a decimal.
Answer:
0.31% = 0.0031 in decimal form.
Step-by-step explanation:
Percent means 'per 100'. So, 0.31% means 0.31 per 100 or simply 0.31/100. If you divide 0.31 by 100, you'll get 0.0031 (a decimal number).
8. A store owner paid $15 for a book. She marked up the price of the book by 40% to determine its selling price. What is the selling price of the book?
Answer:
21
Step-by-step explanation:
if a = 7 and b = 2, find the value of (a - b) ²
Answer:
substitute it into the value that they give then expand the formula which is
a^2-2ab+b^2
Step-by-step explanation:
I NEED HELP ASAP BEFORE MARCH 26
Find the Value of x
Answer:
100 degrees
Step-by-step explanation:
all angles in a triangle add up to 180 degrees, so,
45+35=80
180-80=100
hope this helps!!!
solve each system by substitution y=2x-1. 3x+8y=11
Answer:
x=1, y=1
Step-by-step explanation:
Sub y=2x-1 into 3x+8y=11
3x+8(2x-1)=11
3x+16x-8=11
19x=11+8
19x=19
x=1
Sub x=1 into y=2x-1
y=2(1)-1
y=2-1
y=1
The cell phone company charges $42 plus .02 per text (t). Which algebraic expression represents the total charge per
month?
A. 42.02t
B. 42 + .02t C. 44t. D. 42 + t
PLEASE HELP
Answer:
the answer is b) 42 + .02t
QUICK
Find the area of the shaded region. Use 3.14 for pi.
Answer:
The shaded region is [tex]353.25m^2[/tex].
Step-by-step explanation:
The area of a circle is defined by the multiplication of the square of its radius, or half its diameter, by pi, or simply [tex]A=\pi r^2[/tex].
15m is the radius of the large circle, and also the diameter of the smaller circles.
The area of the shaded region will be the subtraction of the area of the two smaller circles from the area of the larger circle.
As such:
[tex]A=\pi(15)^{2}-2(\pi(\frac{15}{2} )^{2})\\\\A=(3.14)(15)^{2}-2(3.14)(\frac{15}{2} )^{2}\\A=706.5-353.25\\A=353.25[/tex]
Answer:
353.25 m²Step-by-step explanation:
Shaded region is the difference in the area of the bigger circle and two smaller circles.
Radius of bigger circle = 15 mRadius of smaller circles = 15/2 = 7.5 mThe shaded area:
A = π(15²) - 2π(7.5²) = π(225 - 112.5) = 3.14(112.5) = 353.25 m²Can someone explain what the GFC is to me pls. Step by step explanation.
Answer:
When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor. Example: the GCF of 12 and 16 is 4, because 1, 2 and 4 are common factors of both 12 and 16, and 4 is the greatest of them.
Step-by-step explanation:
When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor. Example: the GCF of 12 and 16 is 4, because 1, 2 and 4 are common factors of both 12 and 16, and 4 is the greatest of them.
Answer:
The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.
Step-by-step explanation:
Example: 6,8,20
6-1,2,3,6
8-1,2,4,8
20-1,2,4,5,20
GCF is 2
There are 68 marbles in a bin and 50% of the marbles are red.
How many red marbles are the bin?
There are
red marbles in the bin. .
Answer:
34 because 50 percent of 68 is 34
Answer:
There are 34 red marbles in the bin
Step-by-step explanation:
50% is basically 1/2. So half of 68 is 34.
For which value of x must the square root
97x
be further simplified
Question:
For which value of x must the expression √97x be further simplified?
A. 5 B. 10 C. 15 D. 20
Answer:
[tex]D.[/tex] [tex]x = 20[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{97x[/tex]
Required
For what value of x can it be simplified
From the list of options, only (D) is correct
D. 20
Substitute 20 for x in [tex]\sqrt{97x[/tex]
[tex]\sqrt{97 x} = \sqrt{97 * 20}[/tex]
Express 20 as 4 * 5
[tex]\sqrt{97 x} = \sqrt{97 * 4 * 5}[/tex]
Reorder
[tex]\sqrt{97 x} = \sqrt{4 *97 * 5}[/tex]
Split
[tex]\sqrt{97 x} = \sqrt{4} *\sqrt{97 * 5}[/tex]
[tex]\sqrt{97 x} = 2*\sqrt{97 * 5}[/tex]
[tex]\sqrt{97 x} = 2*\sqrt{485}[/tex]
[tex]\sqrt{97 x} = 2\sqrt{485}[/tex]
With other values of x, the given expression can not be simplified.
Hence:
[tex]x = 20[/tex]
The largest Easter Basket ever made in out city was in the shape of a huge circle and had a circumference of 20 feet. How many feet wide was the Easter Basket? (Round to the tenths place)
Answer:
13
Step-by-step explanation:
asddfghjkl;
.,kjhuilk;jk;lk'
A middle school has 500 students. A survey was given to 50 randomly selected students, and 25 said they would buy fresh fruit in the cafeteria if it were offered. How many students all together could be expected to buy fresh fruit from the cafeteria if it were offered?
Answer:
250
Step-by-step explanation:
If they asked 50 people, and 25 said yes, that means you could excpect about 50% to buy fresh fruit, or 250 out of 500. 500/2=250
Multiplying and dividing radical expressions and leaving them in factored form. I am trying to find the best and easy way to get the factored form correctly. This is my problem: 3x+8 over 36-2x / 27x^2+72x over 3x^2-27.
Answer:
[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]
Step-by-step explanation:
Given
[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27}[/tex]
Required
Solve
Change / to *
[tex]\frac{3x + 8}{36 - 2x} * \frac{3x^2 - 27}{27x^2 + 72x}[/tex]
Factor out 3
[tex]\frac{3x + 8}{36 - 2x} * \frac{3(x^2 - 9)}{3(9x^2 + 24x)}[/tex]
[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{(9x^2 + 24x)}[/tex]
Factorize:
[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{3x(3x + 8)}[/tex]
Cancel out 3x + 8
[tex]\frac{1}{36 - 2x} * \frac{(x^2 - 9)}{3x}[/tex]
Factorize:
[tex]\frac{1}{2(18 - x)} * \frac{(x^2 - 9)}{3x}[/tex]
Combine
[tex]\frac{x^2 - 9}{2*3x(18 - x)}[/tex]
[tex]\frac{x^2 - 9}{6x(18 - x)}[/tex]
Express the numerator as a difference of two squares
[tex]\frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]
Hence:
[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]
Suppose John is a 14-year-old boy who weighs 45 kg (100 lbs). John is at the 25thpercentile of weight for his age. Twenty-five percent of 14-year-old boys weigh the same or less than John and 75% weigh more than John. If John’s height is 170 cm (almost 5’7”), he is at the 75thpercentile of his height for age. Based on the informationgiven about John, how would you describe John’s general appearance?
DUE SOON PLEASE HELP
Answer:
Im pretty sure its 114 m^2 sorry if im wrong
Answer:
The total surface area of the figure would be 114m.
May i get someone to help with these questions
6. If y = V 81, what is the value of y?
O A) 3
B) 9
C) 40.5
OD) 81
8. Only 54%of the people voted for senior class president. What part of the people didn’t vote?
A) 0.054
B) 0.046
C) 0.46
D) 0.54
Answer:
8) 0.46
Step-by-step explanation:
54% = 0.54 because 0.54*100 = 54% so 54%/100 = 0.54
100% - 54% = 46%
46%/100 = 0.46
You're #6 is unclear, what is V?
HELP MARK BRANLIEST AND ALSO POINTS
Answer:
25 rides
Step-by-step explanation:
has $28.50
15.75 + 0.50r [tex]\leq[/tex] 28.50
Subtract 15.75
0.50r [tex]\leq[/tex] 12.75
r [tex]\leq[/tex] 25.5
you can't have half rides, so 25 rides
Helppppppp...?????????????????????
Answer:
144(3/4)^1-n
Step-by-step explanation:
This is a geometric sequence, so if you divide 192 by 144 you will find that the common ratio r is 4/3. This would make the equation an=144(4/3)^n-1. However, that's not one of the options. If you plug in some numbers, you can see that 3/4 (the reciprocal of 4/3) can work as well if it's 3/4^1-n. 4/3^-1=3/4 and n-1(-1)=1-n
Find the area of the circle. 9mm.
Step-by-step explanation:
The answer is 254.57142857