Answer:
-0.85714285714
Rounded answer:
-0.86
Step-by-step explanation:
M is the midpoint of CD. C is located at (-2,12) and D is located at (4,6). If g is a two digit number that has the x coordinate of M as it's tens digit and the y coordinate of M as its ones digit, what is the value of g?
Answer:
If we know that [tex]x = 1[/tex] and [tex]y = 9[/tex], the value of [tex]g[/tex] is 19.
Step-by-step explanation:
Let [tex]C(x,y) =(-2,12)[/tex] and [tex]D(x,y) =(4,6)[/tex], from Analytical Geometry and Linear Algebra we have that midpoint of CD is determined by:
[tex]M(x,y) = \frac{1}{2}\cdot C(x,y)+\frac{1}{2}\cdot D(x,y)[/tex] (Eq. 1)
[tex]M(x,y) = \frac{1}{2}\cdot (-2,12)+\frac{1}{2}\cdot (4,6)[/tex]
[tex]M(x,y) = (-1,6)+(2,3)[/tex]
[tex]M(x,y) =(-1+2,6+3)[/tex]
[tex]M(x,y)= (1,9)[/tex]
If we know that [tex]x = 1[/tex] and [tex]y = 9[/tex], the value of [tex]g[/tex] is 19.
solve the equation 4x²+4x+1=0
Answer: x = -1/2
4x² + 4x + 1 = 0
⇔ (2x + 1)² = 0
⇒ 2x + 1 = 0
⇔ x = -1/2
Step-by-step explanation:
Problem 3: Serena is the manager of the coffee shop. The amount of money she earns is represented by the equation m=21h, where h is the number of hours Serena works, and m is the amount of money she earns. How much more money does Serena make an hour than Gabe? Explain your thinking.
Answer:
Serena earns $7.50 per hour more than Gabe
Step-by-step explanation:
Given
Serena:
[tex]m = 21h[/tex]
Gabe
Earnings: $13.50 per hour ----- Missing Part of equation
Required
How much more does Serena earn per hour
For Serena
[tex]m = 21h[/tex] implies that She earns $21 per hour
So, to determine how much more She earns, we simply calculate the difference.
[tex]Difference = \$21 - \$13.50[/tex] (per hour)
[tex]Difference = \$7.50[/tex] (per hour)
The difference implies that Serena earns $7.50 per hour more than Gabe
is 1.30 bigger than 1.3?
HELP 1 QUESTION.... Write a plan for proving that <1 is congruent to <2
Answer:
corresponding angles
Alternate angle
cointerior angle
Please please PLEASE hurry! 95 points!
Simba Travel Agency arranges trips for climbing Mount Kilimanjaro. For each trip, they charge an initial fee of $100 in addition to a constant fee for each vertical meter climbed. For instance, the total fee for climbing to the Shira Volcanic Cone, which is 3000 meters above the base of the mountain, is $400
Let y represent the total fee (in dollars) of a trip where they climbed xxx vertical meters.
Complete the equation for the relationship between the total fee and vertical distance.
Answer:
Step-by-step explanation:
The formula is F(d) = 100+0.10d.
We must find the cost per meter to write the function. We know that the cost to climb a 3000 meter mountain was 400:
400=100+3000(x)
Subtract 100 from each side:
400-100 = 100+3000x-100
300 = 3000x
Divide both sides by 3000:
300/3000 = 3000x/3000
0.10 = x
This is the cost per meter. Using this, we have the formula
F(d) = 100+0.10(d)
Answer:
T(x) = 0.1x + 100Step-by-step explanation:
Total fee is $400Initial one off fee is $100Fee for each meter = xConsidering all the given and the vertical distance of 3000 m we get below equation
400 = 100 + 3000xSolving, we find the fee for each meter:
400 -100 = 3000x300 = 3000xx = 300/3000x = 0.1 dollar per meterSo the equation for total fee including climbing x meters is:
T(x) = 0.1x + 100Is table values represents a function of f(x) =3x -4 what statement explains why she is correct or incorrect?
Is 0.23 a rational number? Choose the best explanation.
Answer:
yes because it can be written as 23/100
Step-by-step explanation:
I did this before and I have gotten it correct.
3. x + y = 15
X - y = 3
solving systems of equations
Answer: x=10 y=5 = 15xy
Step-by-step explanation:
A pet store has two types of betta fish ref betta fish and blue betta fish a customer notices that 7 out of 12 betta fish in the store are red what is the ratio of blue betta fish to red betta fish?
Answer:
5:7
Step-by-step explanation:
A pet store has two types of betta fish which is red and blue
She noticed that 7 out of the 12 beta fishes are red
This means that there are 7 red beta fishes and 5 blue betta fishes
Therefore the ratio of blue betta fish to red betta fish is
= 5:7
Write the complete proof in your paper homework and for online (only) complete the probing statement (if any) that is a part of your proof or related to it.
Answer:
See Explanation
Step-by-step explanation:
[tex] m\angle ADB = m\angle CDB... (given) \\\\
\therefore m\angle ADM = m\angle CDM... (1)\\
(\because D-M-B) \\\\
In\: \triangle 's ADM \: \&\: CDM\\\\
\overline{AD} \cong\overline {CD} ... (given) \\\\
m\angle ADM = m\angle CDM.(From \:1)\\\\
\overline{DM} \cong\overline{DM} ... (given) \\\\
\therefore \triangle ADM \: \cong\: \triangle CDM\\.. (By \: SAS\: postulate) \\\\
\therefore \overline{AM} \cong\overline{CM}..(2)\\(by\: c. s. c. t.) \\\\
m\angle AMD = m\angle CMD..(3)\\(by\: c. a. c. t.)\\\\
\because m\angle AMD + m\angle CMD= 180\degree ..(4)\\
(Linear\: pair\: \angle 's)\\\\
\therefore m\angle AMD + m\angle AMD= 180\degree \\..(From \: 3 \: \& \: 4)\\\\
\therefore 2m\angle AMD = 180\degree\\\\
\therefore m\angle AMD = \frac{180\degree}{2}\\\\
\therefore m\angle AMD =90\degree \\\\
\red{\implies \overline{MD} \perp\overline{AM}} \\\\
\implies m\angle AMB=m\angle CMB= m\angle CMD = 90\degree.. (5)\\\\
In\: \triangle 's ABM \: \&\: CBM\\\\
\overline{AM} \cong\overline{CM}\\.(From \: 2)\\\\
m\angle AMB=m\angle CMB\\..(each\: 90\degree) \\\\
\overline{BM} \cong\overline{BM} ... (common) \\\\
\therefore \triangle ABM \: \cong\: \triangle CBM\\.. (By \: SAS\: postulate) \\\\
\therefore m\angle BAM = m\angle BCM\\(by\: cact) \\\\
\purple {\implies m\angle BAC = m\angle BCA} \\(\because A-M-C) [/tex]
Emily can ride her scooter 18 miles in 50 minutes ) How long would it take for her to ride four miles.
Answer:
0.36
miles per minute
ithink
Answer:
about eleven minutes
Step-by-step explanation:
18 9
__ = ___
50 25
9 4__ = ___
25 ?
9x = 4(25)
9x = 100
9x = 100
__ _____
9 9
x = 11.1...≈ 11
what is the difference between mutiplying and adding polynomials
Answer:
When you add polynomials, you combine only like terms together. When you multiply polynomials, you multiply all pairs of terms together.
Step-by-step explanation:
.
Answer:
adding, subtracting and multiplying polynomials are, basically, the same as adding, subtracting and multiplying numbers. They only difference is that we have a pesky variable to worry about
(-1,1) and (0,4) are on the line what is the linear equation in standard form
Answer:
y-3x=4
Step-by-step explanation:
1-4/-1-0=3
1 = 3(-1)+b
1=-3+b
b=4
The equation of linear equation in standard form consisting points (-1, 1) and (0, 4) is,
⇒ y = 3x + 4
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (-1, 1) and (0, 4)
Now,
Since, The equation of line passes through the points (-1, 1) and (0, 4).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (4 - 1) / (0 - (-1))
m = 3 / 1
m = 3
Thus, The equation of line with slope 3 is,
⇒ y - 1 = 3 (x - (-1))
⇒ y - 1 = 3 (x + 1)
⇒ y - 1 = 3x + 3
⇒ y = 3x + 3 + 1
⇒ y = 3x + 4
Therefore, The equation of linear equation in standard form is,
⇒ y = 3x + 4
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What are the domain and range of x= -2?
Answer:
The range is all real numbers, because it's a vertical line, and the domain is -2 because it's a vertical line with -2 as it's only x.
Step-by-step explanation:
Kyra walks 2 miles in 30 minutes, how long will it take her to walk 120 minutes.
Answer:
if she walks 2 miles in 30 minutes, she will walk 8 miles in 120 minutes.
Step-by-step explanation:
Can i get brainliest plzzz?
Answer:
8
Step-by-step explanation:
They can walk 8 miles in 120 minutes she can walk 1 mile in 15 minutes and 120/15 is 8.
Luis rides his bicycle 34 mile in 15 minutes, or 14 hour, along the bike trail.
Assuming he rides at a constant rate, what is his speed, in miles per hour? Use the table to help find the answer.
Enter your answer in the box.
Miles 34 ?
Hours 14 ?
miles per hour
Luis' speed in miles per hour is 136.
What is speed?Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.
By dividing the miles he cycled by the hours he traveled, one may calculate Luis' speed in miles per hour.
Because the measurement must be in miles per hour,
the time would be expressed in hours rather than minutes.
Speed = distance / time
Distance = 34 miles
Time = 15 minutes.
Speed = 34 ÷ 15 miles per minute.
Speed = 34 ÷ 1/4 miles per hour.
Now, speed = 34 x 4 miles per hour.
Therefore, Luis' speed is 136 miles per hour.
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Do you know the answer
Answer:
y=2x+2
Step-by-step explanation:
The * stands for multiplication.
0*2+2=2
3*2+2=8
6*2+2=14
All of these statements are true, so this should be the correct answer.
If DE=2x-1, what is the value of x
1. 7
2. 7.5
3. 8
4. 8.5
The value of the variable 'x' will be 8.5. Then the correct option is D.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
In the diagram below, ΔABC with sides of 13, 15, and 16, is mapped onto ΔDEF after a clockwise rotation of 90°.
The side AB is equal to DE. Then we have
DE = AB
2x - 1 = 16
2x = 16 + 1
2x = 17
x = 17/2
x = 8.5
The value of the variable 'x' will be 8.5. Then the correct option is D.
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If the point (-1/2, y ) lies on the line whose equation is 2x - 3y = 6, what is the value of y ?
-7/3
Step-by-step explanation: is the answer for odyssey ware
A water tank is in the shape of a right circular cone as shown above. The diameter of the cone is 10 feet, and the height is 15 feet. The shape of the water in the tank is conical with radius r feet and height h feet. At noon, water is leaking from the bottom of the tank at a rate of 12 cubic feet per hour, and the volume of water in the tank is 27π cubic feet. At noon, what is the rate at which the height of the water in the tank is changing? (The volume V of a right circular cone with radius r and height h is V=13πr2h.)
The rate at which the height of water tank changing is [tex]0.4244 \; \text {ft./hr}[/tex]
Step-by-step explanation:
Given information:
[tex]\text{\bold{The diameter of cone}}=10\;\rm{ ft.}[/tex]
[tex]\rm{The\; height\; of\; the\; cone}= 15\;\rm{ ft.}[/tex]
[tex]\text{The rate at which the water is leaking }= 12 \; \rm ft^3/hr.[/tex]
[tex]\text{Volume of water tank}=27 . \pi \; \rm ft^3[/tex]
Now,
If ,we take a right circular cone with radius r and height h , its volume
[tex]\text{volume (V)} = (1/3) \times \pi \times \rm{r^3 \times h[/tex]
Now, the radius of cone when the volume of water tank is given
[tex]\frac{1}{3}\times \pi \rm\times{r^2 \times h = 27 \times \pi[/tex]
The ratio of height to radius of the cone :
[tex]\text {h/r} =3[/tex]
[tex]\text r = \text h/3[/tex]
Now calculate :
[tex]dV/dt= dV/dh \times dh/dt[/tex]
Which gives:
[tex]12 = \frac{d(\text h^3/27 \pi)}{dh} \times \frac{d\text h}{dt} \\\\\frac{d\text h}{dt} = \frac{12}{\pi \text h^2/9}[/tex]
As ,
[tex]27=\frac{1}{27 \times h}[/tex]
[tex]\text h^3=27^2\\\text h= 9\\[/tex]
Now,
[tex]dh/dt=12/(\pi.\text h^2/9)\\dh/dt=4/3\pi\\dh/dt=0.4244\\[/tex]
Hence, The rate at which the height of water tank changing is [tex]0.4244 \; \text {ft./hr}[/tex]
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SOMEONE HELP. I WILL GIVE BRAINLIEST (I will report foolish answers)
Answer:
second A
Step-by-step explanation:
They are alternate interior angles
Which one is right *Will make BRAINLEST*
Answer:
The correct answer is:
Option A: [tex](14.\frac{1}{7})\frac{2}{5}[/tex]
Step-by-step explanation:
Associative property is applied on three numbers which states that when two numbers are being added or multiplied the order of addition and multiplication doesn't matter i.e. the answer is same.
If a,b and c are three numbers then associative property for multiplication can be given as:
a.(b.c) = (a.b).c
The given expression is:
[tex]14(\frac{1}{7}.\frac{2}{5})[/tex]
Applying the associative property for multiplication we get
[tex](14.\frac{1}{7})\frac{2}{5}[/tex]
Hence,
The correct answer is:
Option A: [tex](14.\frac{1}{7})\frac{2}{5}[/tex]
PLEASE HElP BEfORe MY BRAIN StarTs LagGiNg
Answer:
A.
Step-by-step explanation:
your equation has no exponents, it is linear.
Answer:
A
Step-by-step explanation:
3. Choose the correct statement below:
a) All natural numbers are whole numbers.
b) All whole numbers are natural numbers.
Is this equations linear?
Answer:
No
Step-by-step explanation:
There can not be x and y both attached to one coefficient.
Answer:
No
Step-by-step explanation:
Its not linear because the equation has "3xy" in it.
Maya is deciding between two different movie streaming sites to subscribe to. Plan A
costs $31 per month plus $1.50 per movie watched. Plan B costs $35 per month plus
$0.50 per movie watched. Let A represent the monthly cost of Plan A if Maya
watches x per month, and let B represent the monthly cost of Plan B if Maya watches
x movies per month. Write an equation for each situation, in terms of x, and
determine the interval of movies watched, x, for which Plan A is cheaper than Plan B.
Answer:
36 movies.
Step-by-step explanation:
45
+
2.50
x
=
3.75
x
Here
x
=
NUMBER OF MOVIES
45
=
Annual rate
2.50
=
price of movie with annual fee
3.75
=
price of movie with no fee
Now we solve for
x
. Move
x
to one side by subtracting
2.50
x
on each side
45
=
1.25
x
We want
x
by itself, so divide
45
by each side.
45
1.25
=
x
x
=
36
The interval of movies watched, x, for which Plan A is cheaper than Plan B is 0 < x < 4
Let x represent the number of movies watched per month.
Plan A costs $31 per month plus $1.50 per movie watched, hence:
A = 1.5x + 31
Plan B costs $35 per month plus $0.50 per movie watched, hence:
B = 0.5x + 35
For plan A to be cheaper than plan B:
1.5x + 31 < 0.5x + 35
x < 4
But the number of movies watched must be greater than 0, hence:
0 < x < 4
Therefore, the interval of movies watched, x, for which Plan A is cheaper than Plan B is 0 < x < 4
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Mira has breakfast at a restaurant. She leaves a 20\%20%20, percent tip of \$1.80$1.80dollar
Answer:
Price of Mira Breakfast = 9 $ before tip
Step-by-step explanation:
Let say Mira's breakfast Price = B $
Tip she left = 20 %
20 % Tip amount = (20/100) B = 0.2B $
Tip Amount She left = $ 1.8
Equating Tip Amount
0.2B = 1.8
=> B = 9
Price of Mira Breakfast = 9 $ before tip
Step-by-step explanation:
If the value of x is 6 what is the value of y PIC included
PlEASE help hurry
Answer:
the value of y = 5
Step-by-step explanation:
What is the difference between an image under a dilation with a scale factor 0 1