Answer:
y - 5 = 2(x + 2)
General Formulas and Concepts:
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate
y₁ - y coordinate
m - slope
Step-by-step explanation:
Step 1: Define
Slope m = 2
Point (-2, 5)
Step 2: Create equation
y - 5 = 2(x + 2)
HELP ASAP PLEASE THANKS! :))
Answer:
I believe the answer is p = -7/5
Step-by-step explanation:
Here's the equation and the workthru of my logic:
-5 (p + 3/5) = -4
Divide both sides by -5 to remove the -5 from the left side of the equation,
p + 3/5 = -4/5,
Subtract 3/5 from both sides to solve for p,
p = -4/5-3/5
p = -7/5
Solution is -7/5
Hope this helps.
Good luck!
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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The altitude of an isosceles triangle bisects the base and measures 10ft. If the base of the triangle measures 16ft, calculate: a) the area of the triangle b) and one side of the triangle.
Answer:
Step-by-step explanation:
the formula for calxulating the area if the isosceles triangle is expressed as;
[tex]A = \frac{1}{2}bh[/tex]
b is the base of the triangle
h is the altitude
Given
b = 16ft
h = 10ft
Substitute
A = 1/2 * 16 * 10
A = 8*10
A = 80ft²
Hence the area of the triangle is 80ft²
b) To get the measure of one side of the triangle, we will use the pythagoras theorem. Let s be the slant side
s² = h²+(b/2)²
s² = 10²+(16/2)²
s² = 10²+(8)²
s² =100+64
s² =164
s = √164
s = 12.8ft
Hence one side of the triangle is 12.8ft
80÷1.94≈
Please help me
Answer:
[tex]\frac{80}{1.94}[/tex]
Step-by-step explanation:
80 ÷ 1.94 = [tex]\frac{80}{1.94}[/tex]I hope this helps!
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.
Could someone explain how to solve this for me?
The answer it's 95o UwU
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:
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:
SOMEONE HELP. I WILL GIVE BRAINLIEST (I will report foolish answers)
Answer:
second A
Step-by-step explanation:
They are alternate interior angles
(-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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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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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:
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
3. Choose the correct statement below:
a) All natural numbers are whole numbers.
b) All whole numbers are natural numbers.
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]
0.0000000043 estimated to the power of ten
Answer:
4.3 x 10^-9
Step-by-step explanation:
Convert to base 10 and move decimal 9 to right
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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3. x + y = 15
X - y = 3
solving systems of equations
Answer: x=10 y=5 = 15xy
Step-by-step explanation:
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
CIVICS In the 2004 presidential election, Ohio had 20 electoral votes.
This is 14 votes less than Texas had. How many electoral votes did Texas
have in 2004?
Answer:
34
Step-by-step explanation:
Ohio had 20
14 votes less than Texas (20 + 14)
34 electoral votes Texas had in 2004.
~~~Hope this helps~~~
what's (+6) + (+48) ?
Answer:
54
Step-by-step explanation:
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:
find angle sum therom
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Sum of the interior angles of any triangle is 180° .
Thus ;
[tex]y + 48° + 90° = 180°[/tex]
[tex]y + 138° = 180°[/tex]
Subtract sides 138°
[tex]y + 138° - 138° = 180° - 138° \\ [/tex]
[tex]y = 42°[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Which question can be answered using the expression 1/3÷ 3/4
Answer:
Jillian had a cake and Ruby ate 2/3 of it. Jillian's friends then came over and consumed 3/4 of the kuchen, which Ruby already ate out of. How much of the cake is left?
Step-by-step explanation:
Just think about it with simpler numbers. What if the expression was (4 ÷ 2)? Then the word problem could be made quite easily. Following the previous example, simply replace the numbers (4 and 2) with the fractions given (1/3 and 3/4) and make a few tweaks for it to make more sense.
Good luck!
The total pizza left is 1/3 of the whole pizza. If the remainig student are to take 3/4 of the remaining, how much will each student take
Word problems involving equationsAlgebraic equations are ways we can solve real life apllications.
Given the division problem
1/3÷ 3/4
This can be written usng this statement:
The total pizza left is 1/3 of the whole pizza. If the remainig student are to take 3/4 of the remaining, how much will each student take
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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
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
Kiran says that -2 < -5 . Do you agree with Kiran
Answer:
No
Step-by-step explanation:
-2 is a larger number than -5, if you were to plot these two numbers on a number line, -5 would be further to the left of 0 than -2, which makes it a smaller number. The sign < means less than. The statement being made is that -2 is less than -5, which is false.
Answer:
no
Step-by-step explanation:
I took a test and this question was on it and the answer was no.
What is the difference between an image under a dilation with a scale factor 0 1
HELP 1 QUESTION.... Write a plan for proving that <1 is congruent to <2
Answer:
corresponding angles
Alternate angle
cointerior angle
11 What is most likely the equation of the graph below?
Answer:
f(x) = |x + 2|
General Formulas and Concepts:
Transformations Graph: f(x) = a|bx - c|+ d
a = vertical shrink/stretchb = horizontal shrink/stretchc = horizontal movement left/rightd = vertical movement up/downStep-by-step explanation:
Step 1: Define
We see a transformation from a parent function of the absolute value.
Parent Graph: f(x) = |x|
Step 2: Find equation of graph
We see the transformation moving horizontally 2 units to the left.
c = -2
f(x) = |x + 2|