Answer:
B) II and III only
Step-by-step explanation:
Coordinates of A = (-1,0)
Coordinates of P =(4,12)
Let (x,y) be the coordinates of B
Distance formula : =[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
AP = BP
[tex]\sqrt{(4+1)^2+(12-0)^2}=\sqrt{(4-x)^2+(12-y)^2}[/tex]
[tex](4+1)^2+(12-0)^2=(4-x)^2+(12-y)^2[/tex]
[tex]169=16+x^2-8x+144+y^2-24y[/tex]
[tex]x^2-8x+y^2-24y-9=0[/tex]
I)(3/2,6)
[tex](\frac{3}{2})^2-8(\frac{3}{2})+6^2-24(6)-9=0\\-126.75 \neq 0[/tex]
II)(9,24)
[tex](9)^2-8(9)+(24)^2-24(24)-9=0[/tex]
0= 0
C)(-8,7)
[tex](-8)^2-8(-8)+(7)^2-24(7)-9=0[/tex]
0=0
So, II and III could be the coordinates of B
So Option B is true
II) II and III only
y = 2 is a polynomial function.
True or false
Answer:
false
Step-by-step explanation:
A sum of rs. 4000 is invested at a rate of 8% of compound intrest at 1st year and 10% at 2nd year. Find the sum of both the years. (Pls write the answer with steps and formulas). It's urgent
Answer:
The sum after the second year is rs.4752
Step-by-step explanation:
The interesting thing about solving for compound interest problems is understanding that the principal changes every year.
To solve this problem, we will break it into two years and solve for each year, so we can obtain the final sum to be paid at teh end of the second year.
Please note:
P = principal {the original sum invested}
R = rate of interest.
T= time required to pay back
Sum after the First Year:
Interest = [tex]\frac{P \times R \times T}{100}=\frac{4000 \times 8 \times 1}{100}=320[/tex]
Therefore his money after the first year is got by adding the interest of 320 to the initial principal which will givers. 4320.
After the first year, the money that will be used to calculate the new interest paid will be this rs.4320 obtained at the end of the first year.
Sum after the second Year
Interest =[tex]\frac{P \times R \times T}{100}=\frac{4320 \times 10 \times 1}{100}=432[/tex]
Sum = 4320+432 = rs.4752
Hence, the sum after the second year is rs.4752
Multiply 3x(2x-1) by following these steps
Answer:
[tex]6x^2-3x[/tex]
Step-by-step explanation:
[tex]3x(2x-1)[/tex]
[tex]3x(2x)+3x(-1)[/tex]
[tex]6x^2+-3x[/tex]
After apply distributive property, required solution is,
⇒ 6x² - 3x
We have tp given that,
An expression to simplify,
⇒ 3x (2x - 1)
We can simplify it by distributive property,
⇒ 3x (2x - 1)
⇒ 3x × 2x - 3x × 1
⇒ 6x² - 3x
Therefore, The required solution is,
⇒ 6x² - 3x
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ6
HELP! URGENT PLEASE!
Answer: -7
Step-by-step explanation:
-3 is across from -7 on the chart, so -7 is the x that houses with the f(x) -3
Given that R = 8 x + 4 y Find y when x = 8 and R = 30 Give your answer as an improper fraction in its simplest form.
Answer:
25/8
Step-by-step explanation:
Given That:
R = 8x+4y
X= 8
R = 30.
So, 8 x 8 +4y = 30
Simplify, Rearrange and solve.
64 + 4y = 30
4y = 30/64 = 15/32
y = 15/32 divided by 4
y = 15 / 32 x 1/4
y = 15/(32 x 4) = 15/128
hope this helps
find the circumference use 3.14 for pie r=2 m
Answer:
= 12.56 m
Step-by-step explanation:
The circumference is found by
C = 2* pi *r
C = 2 * 3.14 * (2)
= 12.56 m
Answer:
12.56 meters
Step-by-step explanation:
The circumference of a circle can be found using the following formula.
c= d* pi
We are given the radius. First, we must find the diameter. The diameter is twice the radius.
d=2*r
We know the radius is 2 meters. Therefore, we can substitute 2 in for r.
d=2*2
Multiply 2 and 2
d=4
The diameter is 4 meters.
Now we know the diameter, and can substitute 4 in for d in the circumference formula.
c= d* pi
d= 4 m
c= 4 m* pi
We also know we are using 3.14 for pi, so we can plug 3.14 in for pi.
c= 4 m * 3.14
c=12.56 m
The circumference of the circle is 12.56 meters.
Rosa and her brother worked landscaping jobs last summer. Rosa earned $8 more than twice the amount earned by her brother. If their earnings totalled $71, how much did Rosa earn? NEED AN ANSWER
What is the best estimate of the sum of the fractions?
31 17
4 3
+
+
8
18
o 12 1 / 2
13
141
15
Answer:
499/36
Step-by-step explanation:
If you find the LCM of all fractions and add them then you get 279/36+204/36+16/36 which is equal to 499/36
Answer:
Its B or 13
Step-by-step explanation:
A subscription service charges new
customers $2 per video game plus
$10 for the membership rental card.
Step-by-step explanation:
Graphing Linear Inequalities
This is a graph of a linear inequality:
linear inequality y <= x +2
The inequality y ≤ x + 2
You can see the y = x + 2 line, and the shaded area is where y is less than or equal to x + 2
Linear Inequality
A Linear Inequality is like a Linear Equation (such as y = 2x+1) ...
... but it will have an Inequality like <, >, ≤, or ≥ instead of an =.
How to Graph a Linear Inequality
First, graph the "equals" line, then shade in the correct area.
There are three steps:
Rearrange the equation so "y" is on the left and everything else on the right.
Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
Shade above the line for a "greater than" (y> or y≥)
or below the line for a "less than" (y< or y≤).
Let us try some examples:
Example: y≤2x-1
1. The inequality already has "y" on the left and everything else on the right, so no need to rearrange
2. Plot y=2x-1 (as a solid line because y≤ includes equal to)
Rafael has 118 baseball cards arranged in an album. Each page of the album can hold 9 cards. How many pages are full and how many cards are on the last page?
Answer:
Dear user,
Answer to your query is provided below
Pages full = 13
Card on last page = 1
Step-by-step explanation:
Rafael has 118 baseball cards.
Each album can hold 9.
So, using multiples of 9 or by dividing 118/9
That 1 is remainder.
So, cards on last page is 1
Verify ,
Pages full = (118-1)/9 = 13
Rohit visited a pumpkin patch with his family. The table shows the relationship between the weight and price of a pumpkin.Isosceles triangle LMN is graphed with vertices L(0, 1), M(3, 5), and N(6,1). What is the slope of side LN?
Answer:
5
Step-by-step explanation:
Work Shown:
L = (0,1)
N = (6,1)
m = slope of LN
m = (y2-y1)/(x2-x1) is the slope formula
m = (1-1)/(6-0)
m = 0/6
m = 0
Points L and N are on the same horizontal level, so line LN is horizontal and completely flat. We can see this by noting the y coordinates are both the same. All horizontal lines have a slope of 0 to indicate no change in y value (ie, no change in rise; no increase nor decrease)
The first two terms in a sequence are 8 and 11. What is the next value if this sequence is arithmetic?
Answer:
14
Step-by-step explanation:
From the question we are given the first term 8,second term 11 and we are to find the third term.
Using the formula:Tn=a+(n-1)d
Where a=first term=8
n=number of terms =3
d= difference between terms( second term -first term)=11-8=3
T3=8+(3-1)3
=8+2(3)
=8+6
The next term =14
What is the equation of the line, in slope-intercept form, that passes through (3,-1) and (-1, 5)?
2 x + 3 y - 7 = 0
2 y=-3x+7
ASAP PLEASE
Answer:
[tex]2y = -3x+7[/tex]
Step-by-step explanation:
The coordinates are (3,-1) and (-1,5)
Finding the slope :
Slope = [tex]\frac{rise}{run}[/tex]
Slope = [tex]\frac{5+1}{-1-3}[/tex]
Slope = [tex]\frac{6}{-4}[/tex]
Slope = [tex]-\frac{3}{2}[/tex]
Now Finding y-intercept.
For this, we'll take any point
Let it be (3,-1)
So,
Point = (x,y) = (3,-1)
=> x = 3, y = -1
Putting in slope intercept form to get b
=> [tex]y = mx+b[/tex]
=> -1 = (3)([tex]-\frac{3}{2}[/tex]) + b
=> b = -1 + [tex]\frac{9}{2}[/tex]
=> b = [tex]\frac{7}{2}[/tex]
Putting m and b in the slope intercept form to get the required equation of line
=> [tex]y = mx+b[/tex]
=> [tex]y = \frac{-3x+7}{2}[/tex]
=> [tex]2y = -3x+7[/tex]
PLEASE HELP ASAP! Which equation is represented by the graph below? y=e^x+5 y=e^x+4 y=ln x+4 y=ln x+5
Answer:
y = ln(x) + 4
Step-by-step explanation:
Fastest way to do this is to graph each equation into a graphing calc and match it with the given graph.
please help me for brainliest
Answer:
Step-by-step explanation:
A) These are the squares of another number or we can say the prime numbers
B) THE NEXT NUMBER IN THE SEQUENCE IS 9 BECAUSE ALL THESE ARE SQUARES OF 8 7 6 5 4 AND THE LAST ONE WILL BE 9
Convert the decimal to a percent.
3.06 = a number here %
Find the sum 3/5+1/9
hope it helps you tell me in the comment box
(•‿•)
Find square root of the following numbers by long division method
1).2025
Answer:
Hope this helps. Good luck
Step-by-step explanation:
Instructions: Find the angle measures given the figure is a rhombus.
Answer:
m∠1 = 90°
m∠2 = 55°
Step-by-step explanation:
1. m∠1 = 90° because by definition, the diagonals of a rhombus are perpendicular, or intersect at 90°.
2. Because of vertical angles, the angle opposite of ∠1 is also 90°. A triangle has a total of 180°.
m∠2 + 90 + 35 = 180
90 + 35 = 125
m∠2 + 125 = 180
subtract 125 from both sides to solve for m∠2
m∠2 = 55°
Find the area of the regular
pentagon.
5.5 cm
8 cm
Answer:
Area = 110 cm²
Step-by-step explanation:
You can find the area of a regular pentagon by finding the area of one of the triangles created by its central angle and multiplying it by 5.
1. Use the formula for the area of a triangle to find the area of the triangle formed by its central angle.
[tex]A = \frac{1}{2} bh\\\\A = \frac{1}{2}8(5.5)\\\\A = \frac{1}{2}44\\\\A = 22[/tex]
2. Multiply this area by 5 to get the area of the entire pentagon.
A = 22(5)
A = 110
Which statement is true?
Answer:B
Step-by-step explanation:
Answer:
The real correct answer is C
Step-by-step explanation:
Need answer ASAP TY.............................
Answer:
sin(g) = x/z
Step-by-step explanation:
Sine is opposite over hypotenuse. Our opposite is x and our hypotenuse is z. Therefore, our answer is sin(g) = x/z
Can someone help me im kinda dumb :/
Answer:
9. a₁ = 13, aₙ = aₙ₋₁ × (-2)
10. aₙ = 2 (-3)ⁿ⁻¹
Step-by-step explanation:
9. aₙ = 13 (-2)ⁿ⁻¹
This is a geometric sequence where the first term is 13 and the common ratio is -2.
So the recursive formula is:
a₁ = 13, aₙ = aₙ₋₁ × (-2)
10. a₁ = 2, aₙ = aₙ₋₁ × (-3)
This is a geometric sequence where the first term is 2 and the common ratio is -3.
So the explicit formula is:
aₙ = 2 (-3)ⁿ⁻¹
B
Which transformations could have taken place to
map ABC to A'B'C'
B"
a reflection and a dilation
a rotation and a dilation
C"
A"
a translation and a dilation
a reflection and a translation
C
Answer: C
Step-by-step explanation:
Translating A'B'C' to A''B''C'' doesn't change the position of the vertices and to make it smaller you have dilate the figure because that is the only way to change the size of a shape.
.Reflecting the figure changes the position of the vertices so A and D can't be an answer choice.
U 3 4
Lucy buys 7 kg of nuts to sell.
She pays £10 for the nuts.
Lucy puts all the nuts into bags.
She puts 350 g of nuts into each bag.
She then sells each bag of nuts for 75p.
Lucy sells all the bags of nuts.
Work out her percentage profit.
Answer: 50%
Step-by-step explanation:
I'm converting 7kg to grams to make it easier. So £10 = 7000g
£1 = 7000÷10 = 700g
700g÷2 = 350g and if you follow the ratios on top, she payed 50p per 350g
She sells a bag of 350g for 75p.
Percentage profit=[tex]\frac{Change in cost}{original cost}[/tex] × 100
75p - 50p = 25p = change in cost
Percentage profit= [tex]\frac{25}{50}[/tex] × 100
= 50%
i’m not sure how to solve “system of equations”
Hey there! :)
Answer:
(2, -2)
Step-by-step explanation:
-2x + y = -6
4x + 3y = 2
We can begin by setting the first equation equal to y:
-2x + y = -6
Add 2x to both sides:
y = 2x - 6
Plug this equation for y into the second equation:
4x + 3(2x - 6) = 2
Distribute:
4x + 6x - 18 = 2
Combine like terms:
10x = 20
x = 2
Plug the value of 'x' into an equation to solve for 'y':
-2(2) + y = -6
-4 + y = -6
y = -2
Therefore, the solution is (2, -2)
The function of fx has been transformed to give go. Witch of the following functions represent gx?
Answer:
Sorry your mouse is blocking the fx equation. Is it x squared? I can't help you if I can't see what the equation is I'm sorry
Step-by-step explanation:
When something is parallel to each other there what
Answer:
they are 2 lines that look ;like this =
Step-by-step explanation: the 2 lines of the equal sign are parallel
XYZ is a triangle.
XY = 9.3 cm
YZ= 12.4 cm
Angle XYZ= 38°
Work out the area of triangle XYZ.
Give your answer correct to 3 significant figures.
Answer:
Area of ΔXYZ = 35.499 cm²
Step-by-step explanation:
From the figure attached,
In triangle XOY,
Sin38° = [tex]\frac{\text{OX}}{\text{XY}}[/tex]
OX = (XY)Sin38°
OX = (9.3)Sin38°
= 5.7257 cm
Area of a triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(\text{YZ})(\text{OX})[/tex]
= [tex]\frac{1}{2}(12.4)(5.7257)[/tex]
= 35.499 square cm
Therefore, area of the given triangle XYZ = 35.499 cm².
Plz HELP!!!!!!!!!!!!!!!!!!!!!
They are Parallel, Intersecting, and perpendicular, if it's helpful let me know