Answer:
The variable y = 2.100
Step-by-step explanation:
Here, we are told to solve for the variable y.
We are asked to use the segment addition postulate. In summary, the postulate is of the opinion that given 3 points X,Y and Z, we can only say that these 3 points are collinear(lie on the same line) if they obey the formula below;
XZ = XY + YZ
Now, we have that S is between R and T.
Mathematically that means;
RT = RS + ST
from the question, we are told that RT = 26, RS = 9y-2 and ST = y + 7
Now, insert these values into the alphabetical equation;
26 = (9y-2) + (y + 7)
26 = 9y-2 + y + 7
26 = 9y+y -2 + 7
26 = 10y + 5
26-5 = 10y
10y = 21
y = 21/10
y = 2.1
Which is y = 2.100 to three decimal places
Which of the following is an equation in the form y = ax2 + bx + c of the parabola shown in the graph? Show your work.
A. y = −5x2 − 20x − 65
B. y = −5x2 − 20x − 20
C. y = −x2 − 27x − 90
D. y = −5x2 + 20x + 25
Answer:
Option D. y = – 5x² + 20x + 25
Step-by-step explanation:
We'll begin by obtaining the solutions to the equation from the graph. This can be obtained as follow:
The solutions are simply the values through which the graph cuts the x-axis.
The solutions are x = – 1 and 5.
Next, we shall obtain the equation for the graph as follow:
x = – 1 Or x = 5
x + 1 = 0 or x – 5= 0
(x + 1) (x – 5) = 0
Expand
x(x – 5) + 1(x – 5) = 0
x² – 5x + x – 5 = 0
x² – 4x – 5 = 0
Multiply through by 5
5x² – 20x – 25 = 0
Rearrange
0 = 0 – (5x² – 20x – 25)
= – 5x² + 20x + 25
Thus, the equation is:
y = – 5x² + 20x + 25
4(2-4x)-3x=65 Whats the answer and how did you solve it?
Answer:
x= -3
Step-by-step explanation:
Distribute 4(2-4x) which leaves you with 8-16x-3x=65
combine the like terms which leaves you with 8-19x=65
subtract 8 from both sides 8-19x-8=65-8 which leaves you with -19x=57
lastly divide -19 from both sides which leaves you with x= -3
Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify. The cube of the difference of 1 and a number.
Answer:
1-x=y cubed
Step-by-step explanation:
difference between 1 and a number is 1-x and the answer to this you cube.
how to solve V1 T2 = V2 T1
V1 = 600mL T1 = 77.0 V2 = ? T2 = 86.0
Answer:
V2 = 670.129
Step-by-step explanation:
V1T2 = V2T1
Let V2 = y
600 x 86.0 = y x 77.0
51600 = 77y
77y/77 = 51600/77
y = 670.129
since y= V2
V2 = 670.129
Similar triangles vs con congruent explanation
Answer:
Similar triangle means that only the angles are the same, but the sides are not. Congruent means the angles and sides are the same.
Find (f+g)(x).
f(x) = 2x2 – 2x+7
g(x) = 4x2 – 2x + 9
Answer:
6x^2 -4x +16
Step-by-step explanation:
(2x^2 -2x +7) + (4x^2 -2x +9)
6x^2 -4x +16
Kiran is spending $12 on games and rides at another carnival, where a game costs $0.25 and a ride costs $1.
Answer:
10.75 is the answer I think
Divide8/9 and 8. Express your answer in simplest form
Answer: The answer is 0.11 in decimal form.
Step-by-step explanation:
I am a multiple of 70. I am between 500 and 1000. My tens digit is odd. What number could I be?
Plz help also can you show the explanation too!
Answer:
Step-by-step explanation:
490 = 70 * 7
560 = 70 * 8
630 = 70 *9
700 = 70 * 10
770
840
910
You can fill in the other 3
So the number can be 630 770 or 910
Answer:
630, 770, 910
Step-by-step explanation:
They are multiples of 70 and the tens place number is odd 630, 770, 910
100 pts f f(x) = 8.3x + 8.1, solve f(x) = 65.37. Type your answer as a decimal rounded to the nearest tenth.
Answer: x=6.9
Step-by-step explanation:
In the problem, it is stated that y=65.37. All we have to do is plug that into y and solve for x.
65.37= 8.3x + 8.1 [subtract both sides by 8.1]
57.27=8.3x [divide both sides by 8.3]
x=6.9
Now, we know x=6.9.
Answer:
6.9
Step-by-step explanation:
5 -x -x = -1 what is x ?
Answer:
x=3
Step-by-step explanation:
[tex]5 - x - x = - 1 \\ 5 - 2x = - 1 \\ - 2x = - 1 - 5 \\ - 2x = - 6 \\ x = \frac{ - 6}{ - 2} \\ x = \frac{6}{2} \\ x = 3[/tex]
hope it helped you:)
Answer:
3
Step-by-step explanation:
5-2x=-1
-5__-5
____-6
-2
3
202·87–100·87–2·87=
Step-by-step explanation:
202·87–100·87–2·87
=99.13
Answer:
8700
Step-by-step explanation:
If you want it evaluated, this is the answer. 202 ·87-100·87-2·87= 17574-100·87-2·87=17574-8700-2·87=17574-8700-174= 8700
4. So
3. Gecko Wireless has a 1000 minute monthly plan
that costs $29.95. Each bill also includes $2.95 for
federal communications tax and $0.05 per minute
over 1000. If m represent the minutes over 1000,
which equation represents the cost, p, of wireless
phone service? (MAFS.912.A-CED. 1.1)
defin
solut
a. P= 29.95 + 2.95
b. P=0.05 + m(29.95 +2.95)
P= 29.95 + 0.05m +2.95
d. P= (29.95 + 0.05)m +2.95. What equation should I use?
Answer:
[tex]P=29.95+0.05m+2.95[/tex]
Step-by-step explanation:
The monthly plan costs starts at $29.95, so we're not changing that.
For each monthly plan, we have to pay a tax of $2.95, so we're not changing that.
If we go over 1,000 minutes, we have to pay $0.05 for every minute we go over, and with the fact that [tex]m[/tex] represents each minute over 1,000, we're going to have to represent minutes over 1,000 as [tex]0.05m[/tex] in our equation.
Set up your equation:
[tex]P=29.95+0.05m+2.95[/tex]
It takes 5 people 5 minutes to make 5 toys. How long would it take 100 people to make 100 toys?
Answer:
5 minutes
Step-by-step explanation:
5 people take 5 minutes to make 5 toys
1 person takes 25 minutes to make 5 toys
100 people take 0.25 minutes to make 5 toys
100 people take 0.05 minutes to make 1 toy
100 people take 5 minutes to make 100 toys
Write The slope intercept Form of the equation of a line with a slope of -4 that passes through the point (4,4)
Answer: y = 4x - 12
Step-by-step explanation:
What is the value 4 x (-6.3)
Answer:
-252
Step-by-step explanation:
4 * -6.3
-252
Anytime you multiply a positive number to a negative number, it will always be negative.
Best of Luck!
Answer:
-252 is the correct answer to this question
Solve the equation 3(m + 5) = 3 + 3(2m + 2) for m.
Answer:
m=2
Step-by-step explanation:
Answer:
[tex]m=2[/tex]
Step-by-step explanation:
[tex]3\left(m+5\right)=3+3\left(2m+2\right)[/tex]
Expand:
[tex]3m+3\times5=3+3\times2m+3\times2[/tex]
[tex]3m+15=3+6m+6[/tex]
[tex]3m+15=6m+9[/tex]
Subtract 15 from both sides:
[tex]3m+15-15=6m+9-15[/tex]
[tex]3m=6m-6[/tex]
Subtract 6m from both sides:
[tex]3m-6m=6m-6-6m[/tex]
[tex]-3m=-6[/tex]
Divide both sides by -3:
[tex]\frac{-3m}{-3}=\frac{-6}{-3}[/tex]
[tex]m=2[/tex]
Find the coordinates of the midpoint of TU for T(3,1) and U(5,3)
==========================================================
The given points are T(3,1) and U(5,3)
The x coordinates of these given points are 3 and 5. Add them up to get 3+5 = 8. Then cut this in half getting 8/2 = 4. This is the x coordinate of the midpoint.
The y coordinates are 1 and 3. They add to 1+3 = 4. Then that cuts in half to get 4/2 = 2. This is the y coordinate of the midpoint.
The midpoint is (4,2)
Effectively, we just used the midpoint formula
[tex](x_m, y_m) = \left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} \right)[/tex]
In short: add the corresponding coordinates, then divide by 2.
Mr. Hunt took Mrs. Hunt out to the movies. The tickets cost $18 for both, the popcorn was $7.50 and they shared a $5.25 drink. How much did thier night out cost if the tax rate is 8%?
Answer:
their night cost them $33.21
Step-by-step explanation:
Solve using 2-step equations.
You got a job which only pays salary without commission.
You earn $40,000 per year. You're living with your parents,
so bills this month will only be $400, but you want to put
$2000 into your savings.
After paying bills and putting money aside in savings, how
much will you have left over?
Find the exact value of sin(140°)cos(20°) – cos(140°)sin(20°)
Given :
An expression sin(140°)cos(20°) – cos(140°)sin(20°) .
To Find :
The value of given expression .
Solution :
We know ,
sin(A - B) = sin A cos B - cos A sin B
By comparing with above formula , we get :
A = 140° and B = 20° .
So , sin(140°)cos(20°) – cos(140°)sin(20°) = sin ( 140°- 20°) = sin 120° .
Now , [tex]sin 120^\circ{} = \dfrac{\sqrt{3}}{2}[/tex]
Therefore , the value of expression is [tex]\dfrac{\sqrt{3}}{2}[/tex] .
Hence , this is the required solution .
how many line of symmetry has a kite
Answer:
1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
Solve for the following variable.
Answer:
answers in the explanation.
Step-by-step explanation:
1. x=12
2 x=7
3.x=8
4.x=5
what is 5000000 times 21113221
Answer:
1.0556611e+14
Step-by-step explanation:
1.05566105 + 14
The graph shows the number of miles traveled by a train over a 5 hour trip.
180
160
140
120
100
Miles
Traveled
80
60
40
20
0
1
2
4
5
3
Hours
How fast is the train traveling?
A. 30 miles per hour
B. 32.5 miles per hour
C. 35 miles per hour
D. 40 miles per hour
Answer: 35
Step-by-step explanation:
Which inequality is true? Use the number line to help.
A number line going from negative 5 to positive 3 in increments of 1.
1.5 greater-than 2 and one-half
One-half greater-than 0.5
Negative 2.5 greater-than negative 1.5
Negative 3 and one-half greater-than negative 4.5
HELP ME
Answer:
c
Step-by-step explanation:
i did the assignment on E2020
Answer:
c
Step-by-step explanation:
Show Your Work. Find The Length of SU ~(Will Give Brainliest) :)
Answer: 14
Step-by-step explanation: 14 because QU is 24, RU is 19, so SU has to be 14. 24-5=19 19-5=14
Answer:
14
Step-by-step explanation:
QR = 5 RS = 5 and ST = 5
If all of these distances are equal to 5 then all you need to do is subtract the distance of RU, which is 19, from ST, which is 5, and that'll be your answer.
4d - p = m
Solve for d
Answer:
d=(m+p)/4
Step-by-step explanation:
The given equation solved for d as d=(m+p)/4.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 4d-p=m.
The given equation can be solved as
4d=m+p
Therefore, the given equation solved for d as d=(m+p)/4.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
Given b(x) = [X+41, what is b(-10)?
Tom has 40$ to spend. He spend $21.40 on a light saber. He needs to set aside $15 for a toda t-shirt. If skittles cost $0.58 per package, what is the maximum number of skittles packages he can buy? PLEASE HELP
Answer:
6
Step-by-step explanation:
40 - 21.40 = 18.6
18.6 - 15, for the amount he sets aside for shirt = 3.6 left to spend
3.6 divided by 0.58 = 6.20
so rounded, the answer should be 6 packages of skittles