Answer:
The possible coordinates of point A are [tex]A_{1} (x,y) = (-8, 14)[/tex] and [tex]A_{2} (x,y) = (-8, -10)[/tex], respectively.
Step-by-step explanation:
From Analytical Geometry, we have the Equation of the Distance of a Line Segment between two points:
[tex]l_{AB} = \sqrt{(x_{B}-x_{A})^{2} + (y_{B}-y_{A})^{2}}[/tex] (1)
Where:
[tex]l_{AB}[/tex] - Length of the line segment AB.
[tex]x_{A}, x_{B}[/tex] - x-coordinates of points A and B.
[tex]y_{A}, y_{B}[/tex] - y-coordinates of points A and B.
If we know that [tex]l_{AB} = 15[/tex], [tex]x_{A} = -8[/tex], [tex]x_{B} = 1[/tex] and [tex]y_{B} = 2[/tex], then the possible coordinates of point A is:
[tex]\sqrt{(1+8)^{2}+(2-y_{A})^{2}} = 15[/tex]
[tex]81 + (2-y_{A})^{2} = 225[/tex]
[tex](2-y_{A})^{2} = 144[/tex]
[tex]2-y_{A} = \pm 12[/tex]
There are two possible solutions:
1) [tex]2-y_{A} = -12[/tex]
[tex]y_{A} = 14[/tex]
2) [tex]2 - y_{A} = 12[/tex]
[tex]y_{A} = -10[/tex]
The possible coordinates of point A are [tex]A_{1} (x,y) = (-8, 14)[/tex] and [tex]A_{2} (x,y) = (-8, -10)[/tex], respectively.
Put these numbers in order from least to greatest.
Answer:
Switch the second and third one on what you have now. U r good to go
Step-by-step explanation:
7/25=.28
8/32=.25
Collect like terms
d+ d +d
Answer:
[tex]d + d + d \: \: is \: \: a \: \: like \: \: term[/tex]
Answer:
3d
Step-by-step explanation:
An initial population of 415
ducks increases at an annual
rate of 32%. Write an
exponential function to model
the duck population.
Answer:
The exponential function to model the duck population is:
f(n)=415*(1.32)^n, where:
x is the duck population
n is the number of years
Step-by-step explanation:
In order to calculate the duck population you can use the formula to calculate future value:
FV=PV*(1+r)^n
FV=future value
PV=present value
r=rate
n=number of periods of time
In this case, the present value is the initial population of 415 and the rate is 32%. You can replace these values on the formula and the exponential function to model the duck population would be:
f(n)=415*(1+0.32)^n
f(n)=415*(1.32)^n, where:
x is the duck population
n is the number of years
The dimensions of a box are x, 2x, and 3x. Each dimension is increased by 2. Calculate the volume of the box.
9514 1404 393
Answer:
6x^3 +22x^2 +24x +8
Step-by-step explanation:
The dimensions of the larger box are ...
(x+2), (2x+2), and (3x+2)
The volume is the product of these dimensions.
V = LWH
V = (x+2)(2x+2)(3x+2) = (x +2)(6x^2 +10x +4)
V = 6x^3 +22x^2 +24x +8
The volume of the box is 6x^3 +22x^2 +24x +8.
Below is a diagram of a box shaped in house that contains a cylindrical air conditioning vental conditioning ventis feet long and 3.5 feet in diameter. If the soffit measures 3 by 4 tall by 13 feet longwhat is the volume of the soffit outside of the conditioning vent. Round your answer to the nearest
Answer:
The answer is 30.9 ft
Step-by-step explanation:
Answer: 30.9
Step-by-step explanation:
math nation told me.
find the value of x +65+115+115
Answer:
65
Step-by-step explanation:
65 because they alternate
AB=BA
65=115
115=65
idrk if tht makes sense tho lol
Omg PLS SEND HELP i suck at math
Answer:
13/25
Step-by-step explanation:
13 = 8 circles + 5 hearts.
25 = all the shapes.
(It says not to simplify... so the answer is 13/25)
Answer:
13/25
Explanation:
It's simple !
1. count the needed shape (this example is circle)
2. there is 8 circles , now count the total shapes !
3. there is 25 shapes
4. add 8 and 5 = 13 !
5. lastly, put them together as a fraction
Han has 10 cubes, each 5 inches on a side. Find the total volume of Han's cudes Express your answer as an expression using an exponent.
Answer:
2 * 5⁴
Step-by-step explanation:
Given :
Number of cubes = 10
Side length, a of each cube = 5
The volume of a cube = (side length)³
Hence, the volume of each of Han's cube = 5³
Therefore, the total volume will be :
Volume or cube * number of cubes
5³ * 10
10 = 2 * 5 = 2 * 5¹
5³ * 2 * 5¹
2 * 5^(3 +1)
2 * 5⁴
The students put recycling bins for cans and bottles in the cafeteria and teaches lounge. At the end of last week, there was a total of 48.9 pounds of cans and bottles. They split them evenly into 3 bags. How many pounds were in each bag?
Answer:
16.3
Step-by-step explanation:
There was a total of 48.9 pounds of cans and bottles
They were split evenly in 3 bags
Hence the number of each pounds in the bag can be calculated as follows
= 48.9/3
= 16.3
Hence 16.3 pounds are found in each bags
If the circumference of a circle is 44 pi feet, what is the radius?
hope it helps you friend!!
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
cStep-by-step explanation:
please brainleist please tysm☺️☺️☺️☺️☺️❤❤❤❤❤☻☻☻☻☻
The ratio of black beads to green beads is 10:3.
If there is 50 black beads, how many green beads
are there?
PLEASE HELP WITH NUMBER 5 WILL GIVE BRAINLIST
Answer:
k
Step-by-step explanation:
it wont let me put 2 pictures so the next thing they ask is, how many seconds will it take Adrian to run 3 meters
and the next one is, how far has sarah walked after 2 seconds
Answer:
your answer is 7.5 meters sorry i got to this late
Step-by-step explanation:
regina writes an expression y+9 x 3/4 what expression is equivalent?
Answer:
y + 27/4
Step-by-step explanation:
Took the test
Which property is illustrated?
15 + (5 + 7) = (15 + 5) + 7
plz help i will make the first on to answer with a real answer the brainiest
Answer:
associative
Step-by-step explanation:
the numbers are switched but they will equal the same thing
A group of friends were working on a student film that had a budget of $900. They used 79% of their budget on equipment. How much money did they spend on equipment?
Answer:
711
Step-by-step explanation:
They used 79/100 of their money on equipment which means if they have a budget of 900 dollars they used...
900*79/100=9*79=711 dollars on equipment.
Pls help, question on picture, will do brainliest if right
no links!!!!!
Answer:
[tex]tan(\theta) = \frac{3}{4}[/tex]
Step-by-step explanation:
Remember the trigonometric ratios, keep in mind that the way the side is referred to is based on its position relative to the angle getting referenced. The side next to the referenced angle ([tex]\theta[/tex]) is called the adjacent side, the one opposite the angle is called the opposite side, and the side opposite the right angle of the triangle is called the hypotenuse.
[tex]sin (sine) = \frac{opposite}{hypotenuse}\\\\cos (cosine) = \frac{adjacent}{hypotenuse}\\\\tan(tangent) = \frac{opposite}{adjacent}[/tex]
In this problem, one is asked to find the value of ([tex]\theta[/tex]) with regards to a trigonometric function. One is given the opposite and adjacent sides, it would make the most sense to use the trigonometric function (tangent). Substitute the sides into their respective place, and simplify to find the value of the trigonometric function.
[tex]tan(\theta) =\frac{15}{20}\\\\\\tan(\theta)=\frac{3}{4}[/tex]
How do you write 400 in scientific notation?
Answer: 4x10^2
Step-by-step explanation:
PLZ I NEED HELP MEE ASAP:)
Answer:
Probably have to go with B
Step-by-step explanation:
PRocess of elimination
In circle R with m∠QRS=30 and QR=17 units, find the length of arc QS. Round to the nearest hundredth.
Answer:
Length of arc = 8.90 unit (Approx.)
Step-by-step explanation:
Given:
Radius of circle = 17 units
∠QRS = 30°
Find:
Length of arc
Computation:
Length of arc = [θ/360][2πr]
Length of arc = [30/360][2(22/7)(17)]
Length of arc = [1/12][2(3.14)(17)]
Length of arc = [0.0833][3.14(34)]
Length of arc = [0.0833][106.76]
Length of arc = 8.8963
Length of arc = 8.90 unit (Approx.)
Circle T is shown. Angle Q S R intercepts arc Q R. Angle Q S R is 52 degrees. What is the measure of arc Q R? 26° 52° 104° 128°
Answer:
104 degrees'
Step-by-step explanation:
Find the diagram attached
According to the theorem;
Angle at the vertex is half the angle at its intercepted arc
Given
Angle at the vertex = 52 degrees
Angle at the intercepted arc = arc QR
Hence;
52 = 1/2 arcQR
Cross multiply
52 * 2 = arcQR
104 = arc QR
Swap
arc QR = 104 degrees'
Answer:
C)104
Step-by-step explanation:
edg 2021
Evaluate 24 = (6-2).
Answer:
4 (ignore this its for 20 characters
I can’t tell if 3 is a dilation or not!
Answer:
No, its not
Step-by-step explanation:
The points of the image are not moved away from the center of dilation proportionally. I don't think anyway.
Dana gets paid $10 per hour plus a $10 bonus for the week. Tommy gets paid $9 per hour plus $13 bonus for the week. Set up a system of equations and tell how many hours they would need to work to earn the same amount.
A) 3 hours
B) 40 hours
C) 20 hours
D) 10 hours
Answer:
A) 3 hours
Step-by-step explanation:
x = per hour
y = total
Dana:
y = 10x + 10
Tommy:
y = 9x + 13
Combined (Solve for x):
y = 10x + 10
y = 9x + 13 (Multiply by -1)
y = 10x + 10
-y = -9x - 13
0 = x - 3
x = 3
Joe has a few choices for
dinner: a hot dog, taco, or
BBQ, with fries or chips. How
many different combinations
are there to choose from?
The dishwasher uses 32 gallons of water to wash 4 loads of dishes. How many gallons of water will the dishwater use to wash 10 loads of dishes?
Answer:
80 gallons
Step-by-step explanation:
32 divided by 4 to get the number of gallons it uses for 1 load of dishes which is 8. 8 multiplied by 10 = 80.
Answer 80 gallons
Step-by-step explanation:
32 divided by 4 equals 8, we have now found the rate of change. We then multiply 10 by 8 because for every load of dish it uses 8 gallons. So that equals 80 gallons.
Scott was considering the equation 5 - x = 12. He said, "That seems
impossible. How can I start with 5 and subtract from it and have more than
5 as the difference?" Write a note to Scott explaining what the solution for
x is and why it is possible. *
Answer:
-7
Step-by-step explanation:
[tex]5 - x = 12 \\ 5 - 12 = x \\ - 7 = x[/tex]
it is possible because x is just a letter representing the unknown nos
Sam has 24/4 18 nickels and 36 times he wants to divide the coins into groups so that each group is worth the same amount of money what is the greatest number of groups say I'm can make using all the coins
Answer:
5 and each group would be worth $2.10
Step-by-step explanation:
Sam has 24 quarters, 18 nickels, and 36 dimes. He wants to divide the coins into groups so that each group is worth the same amount of money. What is the greatest number of groups Sam can make using all the coins?
HURRY PLEASE
Convert this monies to dollar
Quarters - 24 x 0.25 = $6
Nickels = 18 x 0.05 = $0.9
Dimes = 36 x 0.1 = $3.6
sum of these amounts = $10.50
the greatest group is 5 and each group would be worth $2.10
4x - y - 5 = 0
I need help w this
Answer:
x = y/4 + 5/4
y = 4x-5
Step-by-step explanation:
I hope this helps!