Answer:
108
Step-by-step explanation:
Explanation: Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108. Thus, 3x+6=108.
find the coordinates of point which divides the line segment joining the points (a+b,a-b) and (a-b,a+b) in the ratio 3:2 interally
Answer:
Coordinate of 0 = [tex]\bigg( \dfrac{5a-b}{5},\:\dfrac{5a+b}{5}\bigg)[/tex]Step-by-step explanation:
Let AOB be the line segmentPoint 'O' divides the line segment into m:n = 3:2Given:
Coordinate of a = (a+b, a-b)Coordinate of b = (a-b, a+b)Ratio = 3:2ToFind:
Coordinate of 0 (zero)Solution:
ATQ,
[tex]\dfrac{m}{n}=\dfrac{3}{2}[/tex]Coordinate of a = (x[tex]_{1}[/tex], y[tex]_{1}[/tex])Coordinate of b = (x[tex]_{2}[/tex], y[tex]_{2}[/tex])As we know that,
[tex]\implies\:\:x = \dfrac{mx_{2} + nx_{1}}{m + n}[/tex]
[tex]\implies\:\:x = \dfrac{(a-b)3 + (a+b)2}{3+2}[/tex]
[tex]\implies\:\:x = \dfrac{3a - 3b + 2a + 2b}{5}[/tex]
[tex]\implies\:\:\red{x = \dfrac{5a - b}{5}}[/tex]
Similarly,
[tex]\implies\:\:y = \dfrac{my_{2}+ny_{1}}{m+n}[/tex]
[tex]\implies\:\:y = \dfrac{(a+b)3+(a-b)2}{3+2}[/tex]
[tex]\implies\:\:y = \dfrac{3a+3b+2a-2b}{5}[/tex]
[tex]\implies\:\:\red{y = \dfrac{5a+b}{5}}[/tex]
Hence,
Coordinate of 0 is [tex]\blue{\bigg( \dfrac{5a-b}{5},\:\dfrac{5a+b}{5}\bigg)}[/tex]
What's 3 5/6 divided by 3 3/4 in Simplest form
Answer:
= 1 1/45
Step-by-step explanation:
3 5/6 / 3 3/4
23 / 15
6 4
23 x 4 = 92
6 15 = 90
= 46
45
= 1 1/45
help plsss im begging
Answer:
The answer is A, $330
Step-by-step explanation:
Answer:
330$
Step-by-step explanation:
165-123.75=41.25
41.25+41.25=82.50
247.5+82.5=330$
Hope this helps
What rule would you use to translate a triangle 4 units to the right?
Answer:
here is what i found also you could of looked it up
Step-by-step explanation:
(x,y)→(x+4,y)
USAA is offering a retirement account that is compounded monthly. This account earns 1% interest. His money can remain there for 20 years. He can withdraw it at any time without a penalty. (exponential function equation)
Answer:
what are we supposed to answer???
Step-by-step explanation:
Giving brainliest to best answer
Answer:
Questions??
Step-by-step explanation:
Will you mark me as brainlist?
since u made me get it wrong u have to do this
Answer:
b and d
Step-by-step explanation:
Answer:
B and D are the correct answers.
Step-by-step explanation:
A and C are both wrong because we are not dividing 12 by 13, we are dividing 13 by 12.
B and D are corect because we are dividing 13 by 12, not 12 by 13.
i need serious help cause i didnt pay attention at all in class
Answer:-3<y<2
The answer should be D
Will give brainliest :)
Answer:
The answer is B because its the same btw i had the same question and got a 100 on the test :)
Step-by-step explanation:
If f(x) = 3х + 10, find f(4)
A
f(4) = 17
f(4) = 22
с
22
f(4) = 17
Multiply using the distributive property (X+4)(X^2+6x-3)
Answer:
x^3 + 10x^2 + 21x - 12
Step-by-step explanation:
(x + 4)(x^2 + 6x - 3)
you can separate to make it easier for u
x(x^2 + 6x - 3) + 4(x^2 + 6x - 3), this is optional u don't have to do this part
x^3 + 6x^2 - 3x + 4x^2 + 24x - 12
add like terms together
x^3 + 10x^2 + 21x - 12
what is 37 1/4 x 24 Please help!! im doing it for math!
Answer: 894
Step-by-step explanation:
Can someone help me plz?!?!? The real answer too
1. What is the value of x in this equation?
3x + 5 = -22
Answer:
-9
Step-by-step explanation:
3x+5=-22
-5 -5
3x=-27
--------
3 3
x= -9
What is NOT a way to write 52 + 80? 50 + 2 + 80 (50 + 80) + 2 50 + 80 + 2 + 8 50 + 2 + 80 + 0
Answer: 52-80
Step-by-step explanation:
Answer:
52-80
Step-by-step explanation:
A cone has a height of 15 meters and a radius of 13 meters. What is its volume?
Answer:
V≈2654.65m³
Step-by-step explanation:
Answer:
Volume (V) = 2,654.645792
Step-by-step explanation:
Hope that helps and please give me brainliest!!
This table represents the cups of coffee, c, a coffee shop has left after being open for h hours. When graphed, all of the points in the table lie on the same line. What is the slope and y-intercept of the line? Drag and drop the slope and y-intercept into the corresponding boxes.
Answer:
There is no picture
Step-by-step explanation:
Answer:
This table represents the cups of coffee, c, a coffee shop has left after being open for h hours. When graphed, all of the points in the table lie on the same line. What is the slope and y-intercept of the line? Drag and drop the slope and y-intercept into the corresponding boxes.
Slope -48, 9 ,48 ?
y-intercept 432, C, 6, 9?
(LEFT SIDE IS HOURS, RIGHT SIDE CUPS)
TABLE-------
HOURS, H / CUPS, C
0 / 432
3 / 288
6 / 144
9 / 0
Step-by-step explanation:
Here is the table
please help me 30 minutes more please please
Answer:
a. 5 . 2/ -1 + -8
b. 5+ (-1) multiply ( 4 -8)
c. 15 -1^3
Step-by-step explanation:
16.0 grams of food contain 130 calories. How many grams of food would you need in order to consume 2150 calories?
Answer:
you can set up a proportion
16.0/130 = x/2150
by cross multiplying you get
130x = 34400
divide by 130 and get
x-264.62
What is the equation of the line that passes through the points (2,6) and (4, 10)?
Answer:
y=2x+2
Step-by-step explanation:
took a test and got it right
Please help me I need the answer for this question. correct one please
What is the translation of the point to its image? A (−1, 4)→ A' (3, 3)
Answer:
We validate that the formula to determine the translation of the point to its image will be:
A (x, y) → A' (x+4, y-1)
Step-by-step explanation:
Given
A (−1, 4)→ A' (3, 3)
Here:
A(-1, 4) is the original pointA'(3, 3) is the image of AWe need to determine which translation operation brings the coordinates of the image A'(3, 3).
If we closely observe the coordinates of the image A' (3, 3), it is clear the image coordinates can be determined by adding 4 units to the x-coordinate and subtracting 1 unit to the y-coordinate.
Thue, the rule of the translation will be:
A(x, y) → A' (x+4, y-1)
Let us check whether this translation rule validates the image coordinates.
A (x, y) → A' (x+4, y-1)
Given that A(-1, 4), so
A (-1, 4) → A' (-1+4, 4-1) = A' (3, 3)
Therefore, we validate that the formula to determine the translation of the point to its image will be:
A (x, y) → A' (x+4, y-1)
Héctor gastó en la entrada de cine una tercera parte del dinero con el que salió de casa. Con la cuarta parte del dinero compró una bolsa de palomitas y le sobraron 5 euros. ¿Con cuánto dinero salió de casa?
Answer:
Héctor salió de su casa con 12 euros.
Step-by-step explanation:
Cuando Héctor gastó en la entrada de cine una tercera parte del dinero con el que salió de casa, tenemos:
[tex] C = \frac{1}{3}x [/tex] (1)
Cuando compró una bolsa de palomitas con la cuarta parte:
[tex] P = \frac{1}{4}x [/tex] (2)
Entonces al sobrarle 5 euros y relacionando las ecuaciones (1) y (2) con el monto inicial:
[tex] x - C - P = 5 [/tex]
[tex] x - \frac{1}{3}x - \frac{1}{4}x = 5 [/tex]
[tex] x = 12 [/tex]
Por lo tanto, Héctor salió de su casa con 12 euros.
Espero que te sea de utilidad!
PLEASE HELP MEEE THIS IS DUE TODAY
Find the slope of the line through each pair of points.
(2, 11), (-8, 13)
Answer:
m = -1/5
Step-by-step explanation:
Slope is - 1/5
All of the following are equvalent except
O (4)(y)
O4+y
O4-y
O4y
An item had an original price of $5.00. It had a percent markup of 45%. What was the value of the markup?
Answer:
markup price = $2.25
Step-by-step explanation:
markup = 45% of $5
markup = 45/100 x 5
markup = $2.25
selling price = $5 + $2.25
selling price = $ 7.25
Answer:
$2.25
Step-by-step explanation:
edgems 2020-2021
Approximately how many strides does it take to complete a marathon?
Choose 1 answer:
Answer:
Step-by-step explanation:
A ball is thrown from the top row of seats in a stadium. The function h(t)=-16t2+48t+160 gives the height, t, in feet, of the ball t seconds after it is thrown. How long will it be before the ball hits the ground?
Answer:
t = 5 s
Step-by-step explanation:
The function that gives the height in feet of the ball t seconds after it is thrown is :
[tex]h(t)=-16t^2+48t+160[/tex]
We need to find how long will it be before the ball hits the ground. When it hits the ground, its height will be equal to 0.
So,
[tex]-16t^2+48t+160=0[/tex]
We need to solve this equation. When we solve, we get its solution as shown in the figure. We can see that t = -2 s and t = 5 s.
t = -2 s is not possible.
Hence, the ball will hit the ground before 5 seconds.
Let f(x) = 3 x 2+1, find f(2)