Answers
9514 1404 393
Answer:
y = 21
Step-by-step explanation:
In straightforward fashion, we can find the midpoints of the two segments, and set the distance between them equal to 10.
M = midpoint of AB
M = (A+B)/2 = ((-1, 0) +(-3, 6))/2 = (-4, 6)/2 = (-2, 3)
N = midpoint of CD
N = (C+D)/2 = ((3, 1) +(5, y))/2 = (8, 1+y)/2 = (4, (1+y)/2)
Then the distance MN is given by the distance formula.
|N-M| = 10 = √((4 -(-2))² +((1+y)/2 -3)²) . . . . . distance formula*
100 = 36 +((1+y)/2 -3)² . . . . . square both sides
64 = ((1 +y)/2 -3)² . . . . . . . . . subtract 36
8 = (1 +y)/2 -3 . . . . . . . . . . . . (positive) square root
11 = 1+y/2 . . . . . . . . add 3
22 = 1+y . . . . . . . . . multiply by 2
21 = y . . . . . . . . . . . subtract 1
_____
* The distance formula is an application of the Pythagorean theorem. Basically, the differences of x- and y-coordinates are taken to be the legs of a right triangle. They length of the hypotenuse is the distance between the two points.
d² = (x2 -x1)² +(y2 -y1)² . . . . . . . from the Pythagorean theorem
d = √((x2 -x1)² +(y2 -y1)²) . . . . . the usual distance formula
Related Questions
-9 = 4n - 1
PLS PLS HELP I can't think my brain isn't there anymore.
Answers
Answer:
-2
Step-by-step explanation:
-9=4n-1
4n=-9+1
4n=-8
n=-8/4
n=-2
Answer:
x= -2
Step-by-step explanation:
you add 1 to both sides
-9+1=4n-1+1
which gives you
-8=4n
and then divide both sides by 4
-2=n
Expand 40 76/100 into decimal form then write the whole number with decimal.
Answers
Alternate form:
1019/25
Answer:
40.76
Step-by-step explanation:
gimme ye points
I need help with this, anyone nice enough to help? :’)
Answers
Answer:
7m³ - 11m² + 5m + 17
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
3m³ - 4m² + 8 - (-4m³ + 7m² - 5m - 9)
Step 2: Simplify
[Distributive Property] Distribute negative: 3m³ - 4m² + 8 + 4m³ - 7m² + 5m + 9Combine like terms (m³): 7m³ - 4m² + 8 - 7m² + 5m + 9Combine like terms (m²): 7m³ - 11m² + 8 + 5m + 9Combine like terms (Z): 7m³ - 11m² + 5m + 17What conclusion can you make about
three lengths that do not make a
triangle?
Answers
Step-by-step explanation:
if the 2 shorter sides add up to less than the larger side, then it's not a triangle.
Find the distance from A to C
Answers
Answer:
7
Step-by-step explanation:
Answer:74
Step-by-step explanation:
Factor x⁴y² + x³y³.
A. x 3y 2(x + y)
B. x³y² (x + 1 )
C. x²y² (x + y)
Answers
Answer:
A..........,..,......
Step-by-step explanation:
....,.............
Figs come in 2.4 lb bags. Apples come in 7.2 lb bags. How many times as many pounds are the apple bags as the fig bags?
Answers
Answer:
3 times as many pounds
Step-by-step explanation:
7.2 / 2.4 = 3 times as many pounds
Hope that helps!
Can someone please tell me what is the solution
Answers
Answer:
[tex] \frac{1}{4} \tan {}^{4}(x) + c[/tex]
HELP QUICK whats the domain and range of g(x)=√x-3+5
Answers
Answer:
check it..
Step-by-step explanation:
domain and range...
When I...
square my number ...
add three ...
divide by two and
add one
I get seven.
My number is:
Answers
3^2 = 9
9+3=12
12/2=6
6+1=7
Which is equivalent to b6/b2
Answers
Answer:
yuojsjsjskakavbhjsmsnnxjxj
Indicate the answer choice that best completes the statement or answers the question.
Use the diagram of a section of the art museum shown to solve.
Find the actual dimensions of the Baroque Art room.
a.
45 ft by 35 ft
b.
35 ft by 25 ft
c.
ft by 25 ft
d.
ft by 35 ft
Answers
41 1/4 by 25 ft
Hope it helped!!!
*I need to show work*
Suppose you have 11 coins in your pocket. You have nickels and dimes and they total $0.65. How many of each do you have?
Answers
Answer:
2 dimes and 9 nickles.
Step-by-step explanation:
2 dimes = 20cents
9 nickles = 45cents
20+45=65cents
2+9=11coins
The cubed root for 50
Answers
Answer:
125000
Step-by-step explanation:
Answer:
125000 is your answer
Step-by-step explanation:
pick me brainliest alex
Question
Identify the transformation that was applied to this letter.
y
R
B
A. Reflection over the x-axis
B. Rotation about the origin
C. Reflection over the yaxis
D. Translation
Answers
Answer: Your answer would be A :)
Step-by-step explanation:
Answer:A
Step-by-step explanation:
I took the quiz apeex
Find the bank discount and proceeds using ordinary interest for a loan to michelle anders for 7,200 at 8.25% annual simple interest from august 8 to november 8
Answers
Answer:
$145.5
Step-by-step explanation:
Period, t = August 8.to November 8 = 3 months
Simple interest formula :
A = P(1 + rt)
A = final amount =. 7200
7200 = P(1 + (0.0825 * 3/12))
7200 = P(1 + 0.020625)
7200 = P(1.020625)
7200 = 1.020625P
P = 7200 / 1.020625
P = 7054.5009
Bank discount :
A - P
7200 - 7054.5009
= $145.4991
= $145.5
Last year, Diane opened an investment account with S6400. At the end of the year, the amount in the account had increased by 26%.
(a) Fill in the blank to write the year-end amount in terms of the original amount. Write
your answer as a decimal.
Year-end amount =. XOriginal amount
(1) Use your answer in part (ə) to determine the year-end amount in Diane's account
Year-end amount: $
Answers
Answer:
Your answer is.....
8064$
Mark it as brainlist answer . follow me for more answer.
Step-by-step explanation:
An airplane flies 2700 miles in 3 hours and 45 minutes. What is its average speed in miles per hour?
Answers
Answer:
720 MPH
Step-by-step explanation:
2700 miles / 3.75 hours = 720 MPH
Answer:
720 Mph
Step-by-step explanation:
2700/3.75
don't put this answer in yet. Wait to see if someone has the same answer as mines.
I need a lot of heeelp pleaseee
Answers
Answer:
i think its mn
Step-by-step explanation:
its the 2 close to qs
Find the equation of the line which passes through (0,8) and (1,12)
Answers
Answer:y =4x + 8
Step-by-step explanation:
X-0/0-1 = y-8/8-12
Or,-4x = -y +8
So, y-4x = 8
A 15 foot ladder leans against a house with the base of the ladder 4 feet from the house. How high, to the nearest foot, up the wall will the ladder reach?
Answers
Answer:
height of house to ladder reach is 14 ft
Explanation:
Given data
ladder = 15 ft
base = 4 ft
to find out
height of house
solution
we know this is triangle shape so we apply here
so we consider here x is ladder and y is base and z is height
so
by pythagoras theorem
z² + y² = x²
so here
z² = x² - y²
put value
z² = 15² - 4²
z² = 209
z = 14.45 = 14
so height of house to ladder reach is 14 ft
Step-by-step explanation:
The ladder and the ground form a right triangle. Use the Pythagorean Theorem to find the other leg of the triangle.
a^2 + b^2 = c^2
a^2 + 4^2 = 15^2
a^2 + 16 = 225
a^2 = 209
a = 14.5 feet
Which sand-castle spire has a greater volume? How much more sand do you need to make the spire with the greater volume?
Answers
Answer: spire b has the greatest volume with a volume of 64. spire a has a volume of 60. you'll need 4 in^3 more sand.
Step-by-step explanation:
since we know the volume of spire a is 60 while spire b’s volume is 64, from there, all you do is subtract 64 from 60. that gives us 4. meaning you need 4 in^3 more sand.
What is the approximate volume of a cone with height of 6 mm and a radius of 18 mm use 3.14 to approximate pi and express your final answer to the nearest hundredth
Answers
Answer: 2034.72
Step-by-step explanation: i got 100% on the quizz and it is correct.
[tex]18 = -5b - 17[/tex]
Answers
Answer:
b = -7
Step-by-step explanation:
18 = -5b-17
Add 17 to each side
18+17 = -5b-17+17
35 = -5b
Divide each side by -5
35/-5 = -5b/-5
-7 = b
Angus has a big test coming up. Should he stay up and study or go to bed early the night before the test? Defend your recommendation.
Answers
Answer:
he should study
Step-by-step explanation:
A spinner has 3 sections of different sizes. The sections are orange, purple, and green. 1/4 of the spinner is orange. 7/12 of the spinner is purple. Which fraction of the spinner is green?
Answers
Answer: it would be 2/3
Step-by-step explanation:
pls help me it is inportant
Answers
Answer:
(5.x)+(5.2)
Step-by-step explanation:
Hope it helps you......
Answer:
nah
Step-by-step explanation:
a^2 + b^2 + 2bc - 2ca - 2ab
Answers
can someone help right away!! please!!
Answers
Answer:
y = - 2x + 1
Step-by-step explanation:
Substitute an x value from the table into the equation
x = 1 : y = - 2(1) = - 2 ← require to add 1 to obtain y = - 1
x = 4 : y = - 2(4) = - 8 ← require to add 1 yo obtain y = - 7
Then equation describing the relationship is
y = - 2x + 1
Function E is a linear function with an initial value of $2$ , and a rate of change of $\frac{1}{3}$
.
Function F is a linear function. The graph of function F includes the points $\left(2,\ 8\right)$ and $\left(0,\ 2\right)$ .
Which statement is true?
A The two functions have the same initial value.
B The two functions have the same rate of change.
C The initial value in function F is greater than the initial value in function E.
D The rate of change in function E is greater than the rate of change in function F.
Answers
Answer:
d
Step-by-step explanation:
The true statement: A The two functions have the same initial value.
What is a linear function?A linear function has a straight line as its graph.
A linear function has the form shown below.
a + bx = y = f (x).
A linear function consists of one independent variable and one dependent variable. The independent and dependent variables are x and y, respectively.
We know that function E is a linear function with an initial value of 2 and a rate of change of 1/3. Therefore, the equation for function E can be written as:
E(x) = (1/3)x + 2
We also know that function F is a linear function that includes the points (2, 8) and (0, 2).
We can use the two points to find the slope of the line and then use the point-slope form to write the equation for function F.
The slope of F = (8 - 2) / (2 - 0) = 6/2 = 3
Using point-slope form with the point (2, 8), we get:
F(x) - 8 = 3(x - 2)
F(x) = 3x + 2
Now we can compare the two functions.
A. The initial value of function E is 2, while the initial value of function F is 2 + 3(0) = 2. Therefore, statement A is true.
B. The rate of change of function E is 1/3, while the rate of change of function F is 3. Therefore, statement B is false.
C. The initial value of function F is 2, which is the same as the initial value of function E. Therefore, statement C is false.
D. The rate of change of function E is 1/3, which is less than the rate of change of function F, which is 3. Therefore, statement D is false.
Therefore, the only true statement is A. The two functions have the same initial value.
To learn more about the linear function;
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