The coordinate of a point whose distance from both P and Q is exactly 13 is; (15, 24)
The distance between points, P and Q can be evaluated by the Pythagoras theorem as follows;
Distance, PQ = √(20-10)² + (36-12)²PQ = √(100+576)PQ = √676PQ = 26.Therefore, a point whose distance from both P and Q is exactly 13 is the midpoint of PQ.
Therefore,
x = (20 + 10)/2x = 15y = (36 + 12)/2y = 24.The coordinate of a point whose distance from both P and Q is exactly 13 is; (15, 24)
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8
-8
4
4
-8
The dotted figure is a dilation of the solid figure. What is the scale factor?
Can someone please help meeee!!!!
Answer:
1/2
Step-by-step explanation:
in the below figure point A is (8,-4)
and shifted A is (4, -2)
it is half of original
for B (4,4) ---> (2,2)
for C (-4,4) ----> (-2,2)
so scale factor is 1/2
Susan has a collection of 90 nickels and dimes. If the number of nickels is five times the number of dimes, how many nickels and how many dimes does she have?
Answer:
15 Dimes and 75 Nickles
Step-by-step explanation:
N = Nickles
D = Dimes
5D + D = 90
6D= 90
D= 15
90 - 15 = 75
N = 75
There are 75 nickels and 15 dimes does she have.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Susan has a collection of 90 nickels and dimes.
And, The number of nickels is five times the number of dimes.
Now,
Since, The number of nickels is five times the number of dimes.
Let number of dimes = x
Then, Number of nickels = 5x
Since, Susan has a collection of 90 nickels and dimes.
Hence, We can formulate;
⇒ 5x + x = 90
⇒ 6x = 90
⇒ x = 15
Thus, The number of dimes = 15
And, Number of nickels = 5 × 15 = 75
Therefore, There are 75 nickels and 15 dimes does she have.
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Examine the solution to the equation
-6(x + 5) + 3 = -2(x + 4) - 4x
-6x - 30 + 3 = -2x - 8 - 4x
-6x-27 = -6x - 8
Which statements accurately describe this equation?
Check all that apply.
This equation has one solution.
This equation has no solution.
This equation has infinitely many solutions.
Any input value for the variable will generate a true
equation
O Any input value for the variable will generate a false
equation.
-27 = -8
Answer:
option (2) and (5) is correct.
2) This equation has no solution.
5) Any input value for the variable will generate a false equation.
Step-by-step explanation:
Given a solution to the equation,
-6( x + 5) + 3 = -2( x + 4) - 4x
⇒ –6x – 30 + 3 = –2x – 8 – 4x
⇒ –6x – 27 = –6x – 8
⇒ –27 = – 8
Which is false statement as -27 is never equal to -8.
Thus, This equation has no solution.
Also, if we substitute any value of x , then also the equality never hold.
For example lets put x = 1 in -6( x + 5) + 3 = -2( x + 4) - 4x , we get,
⇒ -6( 1 + 5) + 3 = -2( 1 + 4) - 4(1)
⇒ -6( 6) + 3 = -2(5) - 4
⇒ -36 + 3 = -10 - 4
⇒ -33 = -14
Still the value is false as -33 is never equal to -14.
Any input value for the variable will generate a false equation.
Thus, option (2) and (5) is correct.
Which expression has a sum of one and eight thirtieths?
Question 5 options:
three sixths + three fifths
four sixths + three fifths
four sixths + four fifths
five sixths + one fifth
Answer:
[tex]\frac{4}{6}+\frac{3}{5}[/tex]
Step-by-step explanation:
1 + [tex]\frac{8}{30}[/tex] = [tex]\frac{30}{30}[/tex] + [tex]\frac{8}{30}[/tex] = [tex]\frac{38}{30}[/tex] = [tex]\frac{19}{15}[/tex]
[tex]\frac{3}{6}[/tex] + [tex]\frac{3}{5}[/tex] = [tex]\frac{3.5}{6.5} + \frac{3.6}{5.6}[/tex] = [tex]\frac{15}{30} + \frac{18}{30} = \frac{33}{30}[/tex] = [tex]\frac{11}{10}[/tex]
[tex]\frac{4}{6} + \frac{3}{5} = \frac{4.5}{6.5} + \frac{3.6}{5.6} = \frac{20}{30} + \frac{18}{30}[/tex] = [tex]\frac{38}{30}[/tex] = [tex]\frac{19}{15}[/tex]
[tex]\frac{4}{6} + \frac{4}{5} = \frac{4.5}{6.5} + \frac{4.6}{5.6} =\frac{20}{30}+\frac{24}{30}[/tex] = [tex]\frac{44}{30}[/tex] = [tex]\frac{22}{15}[/tex]
[tex]\frac{5}{6}+\frac{1}{5}=\frac{5.5}{6.5}+\frac{1.6}{5.6}=\frac{25}{30}+\frac{6}{30}=\frac{31}{30}[/tex]
simpllefie this ansewer 10c–7c
Answer:
3c
Step-by-step explanation:
10c - 7c = 3c
Can you solve this? Thank you
Answer:
14
Step-by-step explanation:
ratio of red : blue = 4 : 3 = 4x : 3x ( x is a multiplier )
8 red counters are added , so
4x + 8 : 3x = 8 : 3
Expressing the ratio in fractional form
[tex]\frac{4x+8}{8}[/tex] = [tex]\frac{3x}{3}[/tex] ( cross- multiply )
24x = 3(4x + 8) = 12x + 24 ( subtract 12x from both sides )
12x = 24 ( divide both sides by 12 )
x = 2
original number of counters = 4x + 3x = 7x = 7(2) = 14
a tv was sold at 9% profit with cost price rs 18000 calculate the sale price of tv
Answer:
the sale price of tv is 1620
Step-by-step explanation:
9/100 because full percentage is from 100%
9/100 x 18000
cut 00 from 18000
we will cut it because 100 also have two 0 and 18000 we will cut two 0
next it will be = 9/1 x 180 one is nothing no so it will be
9 x180 answer = 620
plz mark me as brainliest
SIMPLIFY
STEP BY STEP EXPLANATION
WILL MARK BRAINLIEST!!!!!!!!!!!!!
Answer:
3x+7
3
Step-by-step explanation:
(3x-7) × (3x+7) × ____2x+4_____
6 3x∧2-x-14
(3x-7) × (3x+7) × ____2(x+2)_____
6 3x∧2 × 6x-7x-14
(3x-7) × (3x+7) × _____x+2_______
3 3x × (x+2)-7(x+2)
(3x-7) × (3x+7) × _____ x+2_______
3 (x+2) × (3x-7)
3x+7
3
Hope this helps! :)
Una compañía de frutas entrega sus frutas en dos tipos de caja: grande y pequeña. Una entrega de 3 cajas grandes y 5 cajas pequeñas tiene un peso total de 112 kilogramos. Una entrega de 6 cajas grandes y 2 cajas pequeñas tiene un peso total de 118 kilogramos. ¿Cuánto pesa cada tipo de caja?
Usando un sistema de ecuaciones, se encuentra que:
Cada caja grande pesa 15.25 kg.Cada caja pequeña pesa 13.25 kg.Para el sistema, considera-se que:
x es el peso de una caja grande.y is el peso de una caja pequeña.Una entrega de 3 cajas grandes y 5 cajas pequeñas tiene un peso total de 112 kilogramos, o ea:
[tex]3x + 5y = 112[/tex]
Una entrega de 6 cajas grandes y 2 cajas pequeñas tiene un peso total de 118 kilogramos, o sea:
[tex]6x + 2y = 118[/tex]
Simplificando por 2 :
[tex]3x + y = 59 \rightarrow y = 59 - 3x[/tex]
Reemplazando en la primera ecuación:
[tex]3x + 5y = 112[/tex]
[tex]3x + 5(59 - 3x) = 112[/tex]
[tex]3x + 295 - 15x = 112[/tex]
[tex]12x = 183[/tex]
[tex]x = \frac{183}{12}[/tex]
[tex]x = 15.25[/tex]
[tex]y = 59 - 3x = 59 - 3(15.25) = 13.25[/tex]
Cada caja grande pesa 15.25 kg.Cada caja pequeña pesa 13.25 kg.Un problema similar es dado en https://brainly.com/question/24646137
HELP ASAP 10 POINTS WILL MARK BRAINIEST IF CORRECT
Answer:
Bryan
Step-by-step explanation:
Rate of Change
Answer:
Malory Makes more money than bryan
Step-by-step explanation:
plz help!!!!!!!!!!!!!!!
Answer:
equation of line of best fit: y = -.018x + 7.3
y-intercept = 7.3
correlation coefficient = -.018
correlation coefficient indicates there is no correlation between the x-and-y values
Step-by-step explanation:
Planes S and R both intersect plane T .
Horizontal plane T intersects vertical planes S and R. Planes T and S intersect at line x. Planes T and R intersect and line y. Horizontal line v intersects line x at point B and line y at point A. Line z intersects the lower half of plane S at point C. Point D is on line z but not on a plane.
Which statements are true based on the diagram? Select three options.
Plane S contains points B and E.
The line containing points A and B lies entirely in plane T.
Line v intersects lines x and y at the same point.
Line z intersects plane S at point C.
Planes R and T intersect at line y
Answer:
B,D,E
Step-by-step explanation:
-x+y=5
2x-5y=12
Select the best method to solve the system
Substitution or Elimination
Answer:
x=-37/3
y=-22/3
Step-by-step explanation:
-2x+2y=10 (1)
2x-5y=12 (2)
(1)+(2) <=> -3y=22
Answer:
Elimination method is good enough
I need help with this, it's due today. *i'll give brainliest if you answer all of them*
Answer:
1. x = 13
2. a = 15
3. y = 3
4. g = -24
5. z = 5.57
6. h = 7.5
7. b = 5.8
8. w = -4.5
13. 29 chapters
14. 23.7 pounds
Step-by-step explanation:
hope this helps! :D
(ASAP) I really need help on this I have a C- in Math right now and( I NEED TO GET UP MY GRADE) plsssss
Answer:
answer is <
Step-by-step explanation:
first equation is equal to 6 and the other is equal to 7
i need to find what is 18 divided by 8
Answer:
2.25
Step-by-step explanation:
Help given the graph of the function below what happens to f(x) when x is a small positive number?
Answer:
A
Step-by-step explanation:
Please, If you can help i will be grateful and give brainliest.
Answer:
To complete the square, you always want to add [tex](\frac{a}{2} )^{2}[/tex], where a is the coefficient of x.
In this case, the coefficient of x is -1.
Thus,
[tex]y=x^2-x+1[/tex]
[tex]y=x^2-x+(\frac{-1}{2})^2 +1-(\frac{-1}{2})^2[/tex]
[tex]y=(x-\frac{1}{2})^2+1-\frac{1}{4}[/tex]
[tex]y=(x-\frac{1}{2})^2+\frac{3}{4}[/tex]
answer this question. (5.6)(1.8)
2. Using 50 for the number of weeks in a year is a(n) exponent
hundredths
overestimate
partial products
power
round
tenths
thousandths
underestimate
which one?
There are 52 weeks in a year.
Using 50 for the number of weeks in a year is a(n) round.
Rounding is a process which we approximate the known number by just scaling it up or down.
In rounding the numbers less than 5 are scaled to one number less than the given integer and numbers such as 5 or above than 5 are scaled a number greater than the given number .
For example if there were 55 or more than weeks in a year we can say there are approximately 60 weeks in a year.
But there are 52 weeks so we round it to 50 weeks as 2 is less than 5.
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Help me with school (math)!!!
Answer: y=-4x+7
Step-by-step explanation: Move 8x to the right side to isolate y. 2y=14-8x. Divide the whole equation by 2 to get y by itself. y=7-4x
A ski resort is building two parallel straight ski slopes for children. One of them has a gradient of 1/3. The other ski slope will pass through points (2,-3) and (s,-5). Find the value of s
Answer: s= -8
Step-by-step explanation:
The gradient of the ski slope can ge used as the slope (literally) of a line equation:
y = mx + b,
where m is the slope and b the y-intercept (the value of y when x = 0).
The first slope would be y = -(1/3)x + b.
The slope is (-1/3) since the ski run is headed downhill. The second ski slope is assumed to have the same gradient ("two parallel straight ski slopes").
y' = -(1/3)x' + b
We may assume that b is the same for both slopes - they start and end at the same point.
We can find b by using the given point (2,-3):
y' = -(1/3)x' + b
-3 = -(1/3)(2) + b
-3 = -(2/3) + b [Add -(2/3) to both sides: (-3 + 2/3 = -9/3 + 2/3 = -7/3]
-7/3 = b
b = -(7/3)
The second ski slope, y', thus has the equation
y' = (1/3)x' -(7/3)
We want the value of s in (s, -5).
y' = (1/3)x' -(7/3)
-5 = (1/3)s -(7/3)
(1/3)s = -5 +(7/3) [-15/3 + 7/3 = -8/3]
(1/3)s = -(8/3) [Multiply both dies by 3]
s = -(24/3)
s = -8
or Precalculus
Unit: Get ready for trigonometry
x
Unit test
f is a trigonometric function of the form f(x) = a cos(bx + c) + d.
Below is the graph of f(x). The function has a maximum point at (pi, 9) and a minimum point at
(3pi/4, 1)
Find a formula for f(x). Give an exact expression.
Answer:
4cos(4x-4pi)+5
Step-by-step explanation:
It was from khan
what do i get for this Question a-b=18 find a and b
Your answer is A = 12.375 and B = 5.625.
1 1/3 x 1 2/3 please help
Answer:
_
6.1
Step-by-step explanation:
_
11/3 * 5/3 = 11·5/3·3 = 55/9 = 6.1
Simplify the expression using the order of operations.
4+(3+2)2
= 4+
2
= 4+
=
Step-by-step explanation:
4+(3+2)2
4+(5)2
4+10
14
Peter drives his motorcycle for 56 miles with three different speeds and the average speed is 12.8 miles per hour. First, he drove 4.8 mph and the last speed is 7.4 mph. What is the second speed?
Answer:
your answer is 0.8 mph
Step-by-step explanation:
i hope i help you
Substitute x = 9 and solve for B
3x + 10 = b
Answer:
b = 37
Step-by-step explanation:
3x + 10 = b
(3 x 9) + 10 = 27
27 + 10 = 37
Answer:
b Is 37
Step-by-step explanation:
x Is 9
instead of x you write 9
3x mean 3×X
3×X+10= 3×9+10=27+10=37
If PQ = 6cm, QR = 55cm and RP = 55cm, What type of triangle can be constructed?
Answer:
isosceles triangle
Step-by-step explanation:
In an isosceles triangle 2sides are equal
Find the next two numbers in the pattern -96, 48, -24, 12,...
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The given sequence is a geometric ~
let's find the common ratio (r) first ~
[tex] \dfrac{48}{ - 96} [/tex][tex] - \dfrac{1}{ 2} [/tex]And the first term (a1) of the sequence is ~ -96
let's find the 5th and 6th term.
The value of 5th term is ~
[tex]a_1{(r )}^{n - 1} [/tex][tex] - 96{ \bigg( - \dfrac{1}{2} \bigg) }^{5 - 1} [/tex][tex] - 96 { \bigg( - \dfrac{ 1}{2} \bigg) }^{4} [/tex][tex] - 96 \times \dfrac{1}{16} [/tex][tex] - 6[/tex]The value of 6th term is ~
[tex]a_1{(r )}^{n - 1} [/tex][tex]- 96{ \bigg( - \dfrac{1}{2} \bigg) }^{6 - 1} [/tex][tex]- 96{ \bigg( - \dfrac{1}{2} \bigg) }^{5 } [/tex][tex] - 96 \times - \dfrac{1}{32} [/tex][tex]3[/tex]