Answers
Answer:
first question answer is step 2 and second step is answer step 3, last one is step is answer step 1
Related Questions
In the diagram below of triangle MNO, P is the midpoint of MO and Q is the midpoint of NO. If PQ = 5x + 62, and MN = 6x-4, what is the measure of PQ?
Answers
Answer:
29
Step-by-step explanation:
There is a triangle embedded in triangle MNO, which is triangle PQO, and these are similar triangles in that their corresponding sides are always in the same ratio, which in this case is 2:1, as MP = MO due to the midpoint definition, and therefore MO is twice as long as MP. Same for NO and QO.
Now that we know the ratio, we can set 6x-4 = 2(-5x+64)
6x-4 = -10x +108
16x = 112
x = 7
Plug x back in for PQ, -5(7)+64 = 29
The measure of PQ is 22 units.
What is mid point theorem?A triangle's third side is stated to be parallel to the line segment uniting its two midpoints, and it is also half as long as the third side.
Given:
PQ = 5x + 62, and MN = 6x-4
Now, using Mid- Point Theorem
PQ= 1/2 MN
-5x+ 62 = 1/2( 6x - 4)
-5x+ 62 = 3x - 2
-5x- 3x = -2 - 62
-8x = -64
x= 8
and, PQ= 5x+ 62 = -5(8) + 62 = -40 + 62 = 22
Hence, the measure of PQ is 22 units.
Learn more about mid point theorem here:
https://brainly.com/question/13677972
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Topic: Modeling exponential functions
Kathy plans to purchase a car that depreciates
(loses value) at a rate of 14% per year. The initial
cost of the car is $21,000. Which equation
represents the value, v, of the car after 3 years?
1) v = 21,000(0.14)
2) v = 21,000(0.86)
3) v= 21,000(1.14)
4) v= 21,000(0.86)(3)
Answers
Answer:
Step-by-step explanation:
The standard form equation for this type of problem is
[tex]y=a(b)^x[/tex] where a is the initial value, b is the rate of depreciation, and x is the number of years in question. Because the value of the car is going down, b can also be written as (1 - r) where r is the rate of depreciation. For us, then, the equation will look like this:
[tex]y=a(1-r)^x[/tex] and filling in:
[tex]y=21000(1-.14)^3[/tex] which in simplified form is
[tex]y=21000(.86)^3[/tex] which I'm assuming is how choice 4 should look.
What is the factorization of 49b2 − 81?
(7b – 9)(7b – 9)
(7b – 9)(7b + 9)
(7b2 – 9)(7b2 – 9)
(7b2 – 9)(7b2 + 9)
Answers
explanation:
I learned in math last year
Answer:
B. (7b – 9)(7b + 9)
Step-by-step explanation:
got 100% on my quiz
Susana has a budget for school stationery of $33, but has already spent 19.10 on books and folders. Let p represent the amount that Susana can spend on other stationery. Write an inequality that shows how much she can spend on other stationery, and solve for p.
Answers
Answer: $13.90
Step-by-step explanation:
Since Susana has a budget for school stationery of $33, but has already spent $19.10 on books and folders, the inequality that shows how much she can spend on other stationery, will be represented by:
p + $19.10 = $33
p = $33 - $19.10
The inequality is p = $33 - $19.10
Then, the amount that she can spend on other stationery will be:
P = $33 - $19.10
P = $13.90
She can spend $13.90 on other stationary
A(1,7) B(6,4) and C(5,5) are three points in a plane
1. Find the equations of the perpendicular bisectors of AB and AC
Determine the point of intersection of the perpendicular bisectors in (I)
Answers
Answer:
Step-by-step explanation:
Middle point of AB
x(m) = (6+1)/2 = 7/2
y(m) = (7+4)/2 = 11/2
slope of the line that contains AB
(4-7)/(6-1) = -3/5
eqaution of the perpendicular bisector
y-11/2 = 5/3(x-7/2)
y = 5/3x -35/6 + 11/2
y = 5/3x + (-35 + 33)/6
y = 5/3x -1/3
Middle point of AC
x(m) = (1+5)/2 = 3
y(m) = (7+5)/2 = 6
Slope of the line that contains AC
(5-7)/(5-1) = -1/2
equation of the perpendicular bisector
y-6 = 2(x-3)
y = 2x -6 + 6
y = 2x
Point of intersection
y= 5/3x -1/3
y = 2x
2x = 5/3x - 1/3
6x = 5x - 1
x = -1
y = -2
P(-1,-2)
Answer:
(1,7)
Step-by-step explanation:
Given:
A(1,7)
B(6,4)
C(5,5)
Solution:
Mid point of AB = M((1+6)/2,(7+4)/2) = M(3.5,5.5)
Slope of AB = (4-7)/(6-1) = -3/5
Perpendicular bisector of AB:
L1: y - 11/2 = -(3/5)(x-7/2) ............(1)
Mid point of AC, m= N((1+5)/2,(7+5)/2) = N(3,6)
Slope of AC, n = (5-7)/(5-1) = -2/4 = -1/2
perpendicular bisector of AC:
L2: y-6 = -(1/2)(x-3) ..........."(2)
To find the point of intersection,
(1)-(2)
-5.5 - (-6) = -(3/5)x +12/5 + x/2 - 3/2
1/2 = -x/10 + 6/10
x/10 = 1/10
x = 1
substitute x in (1)
y = 3/2+11/2 =7
Therefore Point of intersection is (1,7)
NEED AN ANSWER ASAP
a linear piecewise function is represented by the graph. use the graph to evaluate the function.
when x = -5, y = ___
a) -5
b) 3
c) 5
when x = –1, y = ___
a) -2
b) 1
c) 3
When x = 3, y = ___
a) -4
b) 1
c) 3
Answers
Step-by-step explanation:
When X is - 5 then y is 3
When X is-1 then y is - 2
When X is 3 then y is -4
From the graph we get, when x is - 5 then y is 3, when x is -1 then y is - 2, and when x is 3 then y is -4.
What is a point?A point is a dot in space used to indicate an exact location in space.
Consider the first line, which has constant y values. its x value ranges from -1 to negative infinity.
The second line is starts from (-1,-2) point and tend towards positive infinity but its y values and x values are varying.
Hence, when x = -5 y is 3 and at x = -1 the y values is -2. Similarly, when x = 3 then y = -4.
To learn more about point, use the link given below:
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Use a calculator to find the r-value of these data. Round the value to three
decimal places
Answers
Answer:
-.985
Step-by-step explanation:
Students are asked to estimate the number of gumballs in a jar. Sam says there are 228 gumballs. In actuality, there are 240 gumballs. What is the percent error
Answers
Answer:
5%
Step-by-step explanation:
Percent error = (actual - estimated) / actual x 100
(240 - 228) / 240 x 100 = 5%
xy + x3 ( That 3 is cube )
Answers
I need help with this plz
Answers
Answer:
[tex]x^{15}[/tex]
Step-by-step explanation:
Distribute the ^3 on top
(27 [tex]x^{6}[/tex] [tex]y^{-9}[/tex])
distribute the ^ -9 on bottom, only to what is in the parenthesis
(27 [tex]x^{-9}[/tex] [tex]y^{-9}[/tex])
the 27's cross out, the [tex]y^{-9}[/tex] 's cross out
[tex]x^{6}[/tex]/ [tex]x^{-9}[/tex] is left
move the [tex]x^{-9}[/tex] to the top of fraction to change its sign
[tex]x^{6}[/tex] · [tex]x^{9}[/tex] = [tex]x^{15}[/tex]
Simplify the expression....
Answers
Answer:
−3x^2+2x /x−2
Step-by-step explanation:
4x−9x^3/ 3x^2−4x−4
= −9x^3+4x /3x^2−4x−4
= x(−3x+2)(3x+2) /(3x+2)(x−2)
= −3x^2+2x /x−2
If the first three Fibonacci numbers are given as x, = 1, X2 = 1 and x3 = 2,
what is the value of n for which X, + Xp = 55?
Answers
Answer:
n=8
Step-by-step explanation:
pleaae help me solve this 61/2×(8/9÷13/18)+(3/4) of 31/5
Answers
Answer:
[tex]10 \frac{2}{5}[/tex]
Step-by-step explanation:
Using BODMAS
[tex]6\frac{1}{2} \times (\frac{8}{9} \div\frac{13}{18}) + ( \frac{3}{4} )\ of \ 3\frac{1}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ solving \ expression \ inside \ bracket \ ]\\\\\frac{13}{2} \times (\frac{8}{9} \times \frac{18}{13}) + (\frac{3}{4}) \ of \ \frac{16}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} \ ]\\\\\frac{13}{2} \times (\frac{16}{13}) + (\frac{3}{4}) \ of \frac{16}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ solving \ of \ ] \\\\[/tex]
[tex]\frac{13}{2} \times (\frac{16}{13} ) + (\frac{3}{4} \times \frac{16}{5} )\\\\\frac{13}{2} \times (\frac{16}{13} ) + \frac{12}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\ solving \ \times \ expressions \ ] \\\\(\frac{13}{2} \times \frac{16}{13}) + \frac{12}{5}\\\\8 + \frac{12}{5}\\\\\frac{40 + 12}{5}\\\\\frac{52}{5}\\\\10\frac{2}{5}[/tex]
Solve (x + 9)2 = 25.
Answers
Answer:
x=3.5
Step-by-step explanation:
25÷2=12.5
12.5-9=3.5
Answer:
7/5 or 3.5
Step-by-step explanation:
2 (x+9) =25
x+9 = 25/2
x = (25/2) - 9
x = 7/2 in decimal = 3.5
Please hurry i want the answer of this question please
Answers
[tex]\displaystyle\bf 1200=12*100=3*4*(2*5)^2=3*2^2*2^2*5^2=2^4*3^1*5^2 \\\\Answer: \boxed{ A)\quad a=4 \quad ; \quad b=1 \quad ; \quad c=2}[/tex]
Of the $77.84 direct-deposited from Problem 3, you have 50% placed into a savings account. How much is deposited in the saving account each month?
Answers
Answer:
38.92 dollars
Step-by-step explanation:
The drama club is running a lemonade stand to raise money for its new production. A local grocery store
donated cans of lemonade and bottles of water. Cans of lemonade sell for $2.50 each and bottles of water
sell for $1.25 each. The club needs to raise at least $600 to cover the cost of renting costumes. The students
can accept a maximum of 460 cans and bottles.
Write a system of inequalities that can be used to represent this situation.
The club sells 144 cans of lemonade. What is the least number of bottles of water that must be sold to cover
the cost of renting costumes? Justify your answer.
Answers
Answer:
Part A
x + y ≤ 460...(1)
2.5·x + 1.25·y ≥ 600...(2)
Part B
The number of bottles of water the student must sell ≥ 192 bottles of water
Step-by-step explanation:
The given parameters are;
The selling price of each can of lemonade = $2.50
The selling price of each bottle of water = $1.25
The amount of money the club needs to raise = $600
The maximum number of cans and bottles the students can accept = 460
Part A
Let 'x' represent the number of cans of lemonade the students accept, and let 'y' represent the number of bottles the student accept, the system of inequalities that can be used to represent the situation can be presented as follows;
x + y ≤ 460...(1)
2.5·x + 1.25·y ≥ 600...(2)
Part B
The number of cans of lemonade the club sells, x = 144
The number of bottles of water the student must sell to cover the cost of costumes, 'y', is given from the second inequality as follows;
2.5 × 144 + 1.25·y ≥ 600
1.25·y ≥ 600 - 2.5 × 144 = 240
1.25·y ≥ 240
y ≥ 240/1.25 = 192
y ≥ 192
The number of bottles of water the student must sell = 192 bottles of water
Order the list of numbers from least to greatest.
Answers
Answer:
0, 0.5, 8/3, root 5, 3.1
Trong k gian vecto R^3 , cho hệ B={u(2,1,-1),v=(3,2,5) , w=(1,-1,m)} a)xác định giá trị m để B là một cơ sở k gian R^3
Answers
Answer:
Dhhdhdhgdgdgd djjdhdhdhfh dbdjhdhfv djjdhfhhb is a hdhdh yhvggfff tghrh9
!!!!!!!!!!!!!! Please read question correctly before answering
Answers
Answer:
19
Step-by-step explanation:
Conditional probability formula: A|B (A given B)= (A∩B)/B
So cold drink | large (cold drink given large)= (Cold∩Large)/Large
cold∩large= 5
large= 22+5= 27
5/27=.185185185
which i guess rounds to 19%
if f(x)=2x+1 and g(x)=x^2-7 find (f/g)(x)
Answers
Step-by-step explanation:
f(x)=2x+1 and g(x)=x²-7
(f/g)(x) = (2x+1)/(x²-7)
Answer:
pls answer my questions plsss
Answer fast please :( Kristy wants to know what the probability is that a card drawn randomly from a deck will be a club her sample space includes all 52 cards in a standard deck which of these outcomes compose the event
Answers
Answer:
.25
Step-by-step explanation:
there are 13 clubs
13/52= 1/4
Surf Shack rents boards to beach goers. Each boogie board, b, rents for $5 per day and each surfboard, s, rents for $10 per day. On Tuesday, they rent out a total of 14 boards and have an income of $80. Write two equations relating boogie boards, b, and surfboards, s.
Answers
Answer:
b + s = 14
5b + 10s = 80
Step-by-step explanation:
Answer:
b + s = 14
$5b + $10s = $80
Step-by-step explanation:
the sum of boogie board and surfboard rented is 14
boogie board rented + surfboard rented = 14
b + s = 14 equation 1
total income derived from renting the two types of boards is $80
total income derived = total income derived from renting boogie boards + total income derived from renting surfboards
total income derived from renting boogie boards = cost of renting one boogie board x number of boogie boards rented
= $5 x b = 5b
total income derived from renting surfboards = cost of renting one surfboard x number of surfboards rented
= $10 x s = 10s
80 = 5b + 10s equation 2
15
9
determine the value
coso
Answers
Answer:
36.87°
Step-by-step explanation:
Given the right angle triangle :
To obtain the value of Cosθ ; we use the trigonometric relation :
Cosθ = Adjacent / Hypotenus
The adjacent angle isn't given :
Opposite = 9 ; hypotenus = 15
Adjacent = √(hypotenus ² + opposite ²)
Adjacent = √(15² - 9²)
Adjacent = √(225 -81)
Adjacent = √144 = 12
Hence,
Cos θ = 12/15
θ = Cos^-1(12/15)
θ = 36.87°
HELP!!!
f(x) =x^2. What is g(x)?
Answers
Answer:
C. g(x) = 4x²
Step-by-step explanation:
we have one specific point on g(x) : (1,4)
so, for x=1 the functional value (y) has to be 4.
A. (4×1)² = 4² = 16 and not 4. => wrong
B. 1/4 × 1² = 1/4 and not 4. => wrong
C. 4×1² = 4 and that IS 4 => correct
D. 16×1² = 16 and not 4 => wrong
PLEASE ANSWER ASAP :"( I need to submit the homework and i dont understand how to do the solution
p/s PLEASE READ THIS pls ignore the another language just read the english one..
Answers
Answer:
x -2 -1 0 1
y -1 2 5 8
Step-by-step explanation:
y=3x+5
When x=-2
y=3(-2)+5
y=-6+5
y=-1
when x=-1
y=3(-1)+5
y=-3+5
y=2
whenx=0
y=3(0)+5
y=5
When x=1
y=3(1)+5
y=3+5
y=8
Calculate the circumference of the circles with the following dimensions.
C-circumference
D-diameter
R-radius
P-3.14
1.
D= 4 in
D= 6 in
D=12 in
2.
R= 2 ft
R= 14 ft
R= 12 ft
3.
R= 9 ft
R= 11 ft
R= 7 ft
4.
D= 10 ft
R= 9 ft
D= 13 ft
Answers
Answer:
BELOW
Step-by-step explanation:
1) C= PD so
a) 12.56
b) 18.84
c) 37.68
2) C=2PR so
a) 2*3.14*2= 12.56
b) 2*3.14*14= 87.92
c) 2*3.14*12= 75.36
3) C=2PR so
a) 56.52
b) 69.08
c) 43.96
4)
a) 31.4
b) 56.52
c) 40.82
Prove that A - B = A-(A n B) using a Venn diagram
Answers
Step-by-step explanation:
my answer is an image above
How do I solve for x?
Answers
Un león, al ver correr un grupo de venados ¡exclamó!: "Adiós, mis cien venados", a lo cual los venados contestaron: "Estás equivocado, señor león. Con nosotros, otros tantos, la mitad de nosotros, la cuarta parte de nosotros y tú, señor león, somos 100". Cuántos venados van en el grupo? ( Utilice una ecuación de primer grado)
Answers
Answer:
Hay 56 venados en el grupo.
Step-by-step explanation:
En primer lugar, debemos traducir la proposición (oración) en una expresión matemática:
"Estás equivocado, señor león. Con nosotros, otros tantos, la mitad de nosotros, la cuarta parte de nosotros y tú, señor león, somos 100"
[tex]x + \frac{x}{2} + \frac{x}{4} + 1 = 100[/tex]
[tex]\frac{3\cdot x}{2} + \frac{x}{4} = 99[/tex]
[tex]\frac{7\cdot x}{4} = 99[/tex]
Donde [tex]x[/tex] es el número de venados.
[tex]x = 56.571[/tex]
Puesto que la cantidad de venados es un número entero, debemos truncar al entero más cercano. Es decir:
[tex]x = 56[/tex]
Hay 56 venados en el grupo.
