Answer:
Distance is 6.7units to the nearest tenth.
Explanation:
To solve this problem, we the distance formula. And this is given as:
[tex]D = \frac{|a x + b y + c|}{\sqrt{a^2 + b^2}}[/tex]
We were given the equation:
y = 2 x + 4
This can also be rewritten as:
y – 2 x – 4 = 0.
Therefore, a = -2, b = 1 and c = -4
Also, we were given the points:
(x, y) = (–4, 11)
Making use of the above formula for distance, we have:
[tex]D = \frac{|-2\times -4 + 1\times 11 + -4|}{\sqrt{-2^2 + -4^2}}[/tex]
[tex]D = \frac{15}{\sqrt{5}}[/tex]
D = 6.7units (to the nearest tenth)
what is 1+1x5-4x3=?
PLZ HELP ME
Answer:
[tex]x^5-4x^3+1[/tex]
Step-by-step explanation:
Solve 2x2 + 4x = 30 using the Quadratic Formula.
Answer:
[tex]x=-5, 3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Step-by-step explanation:
Step 1: Define equation
2x² + 4x = 30
Step 2: Rewrite into Standard Form
2x² + 4x - 30 = 0
Step 3: Define variables
a = 2
b = 4
c = -30
Step 4: Solve for x
Substitute: [tex]x=\frac{-4\pm\sqrt{4^2-4(2)(-30)} }{2(2)}[/tex]Evaluate: [tex]x=\frac{-4\pm\sqrt{16-4(2)(-30)} }{2(2)}[/tex]Multiply: [tex]x=\frac{-4\pm\sqrt{16+240} }4}[/tex]Add: [tex]x=\frac{-4\pm\sqrt{256} }4}[/tex]Evaluate: [tex]x=\frac{-4\pm16 }4}[/tex]Factor: [tex]x=\frac{4(-1\pm4)}4}[/tex]Divide: [tex]x=(-1\pm4)[/tex]Add/Subtract: [tex]x=-5, 3[/tex]And we have our final answer!
It takes Ronnie 4.5 minutes to bake 12 brownies. How long will it take to bake 20 brownies?
Answer:
7.5
Step-by-step explanation:
Answer:
7.2 minutes
Step-by-step explanation: you divide 20/12 and then you should get 1.6. After that you should multiply 1.6 times the 4.5 minutes and you get 7.2 minutes.
Find the slope of the line.
Divide 555.3 2.4 plsssssss
Answer: 231.375
Step-by-step explanation: Just Have To Divide
If Yessenia wants to buy a $165,000 whole life policy, and the annual premium rate (per $1000 of face value) for her age group is $15.46, how much is Yessenia’s monthly premium? a. $1,067.27 b. $2,550.90 c. $212.57 d. $171.33
Answer:
C. 212.57
Step-by-step explanation:
Based on the information given Yessenia’s monthly premium is: c. $212.57.
Monthly premium:First step is to calculate the annual premium rate per face value
Annual premium rate per face value=$165,000/$1,000
Annual premium rate per face value=165
Second step is to calculate the monthly premium
Monthly premium=(15.46×165)/12
Monthly premium=$2,550.9
Monthly premium=212.57
Inconclusion Yessenia’s monthly premium is: c. $212.57.
Learn more about monthly premium here:https://brainly.com/question/2151013
a ladder 5 meters long is leaning against a wall. the base of the ladder is sliding away from the wall at a rate of 1 meter per second. how fast is the top of the ladder sliding down the wall at the instant when the base in meters from the wall?
Complete question :
a ladder 5 meters long is leaning against a wall. the base of the ladder is sliding away from the wall at a rate of 1 meter per second. how fast is the top of the ladder sliding down the wall at the instant when the base is 4 meters from the wall?
Answer:
-4/3 m/s
Step-by-step explanation:
Using Pythagoras :
a² = x² + c²
5² = x² + y² - - - (1)
The horizontal distance x with respect to time t = 1m/sec
dx/dt = 1m/sec
To obtain the vertical height 'y' with respect to time t when x = 4
5² = x² + y²
Wen x = 4
5² = 4² + y²
25 = 16 + y²
y =√(25 - 16)
y = 3
Differentiate (1) with respect to t
x² + y² = 25 - ---- - (1)
2x * dx /dt + 2y dy/dt = 0
dx/dt = 1
x = 4.
y = 3
2(4)(1) + 2(3) * dy/dt = 0
8 + 6dy/dt = 0
6 dy/dt = - 8
dy/dt = - 8/6
dy/dt = - 4/3
Write the parent function equation for a linear function
write an equation in point-slope form for the line with a slope of 4 that contains (3,-10)
Answer:
y+10=4(x-3)
Step-by-step explanation:
When 8 is added to the number that is produced by doubling the number x, the result is equal to 8 times the number that is 5 less than x. What is the value of x?
Equation:
Value of X:
Answer:
8
Step-by-step explanation:
Number = 2x
Therefore, 2x + 8 = 8(x - 5)
2x + 8 = 8x - 40
6x = 48
x = 8
Which inequality matches the graph? 3000K x ++++++++++++ --9-8-7-6-5--4-3-2-1 +
answers:
-2x + 3y > 7
2x + 3y < 7
-3 + 2y > 7
3x - 2y < 7
Answer: b I think
Step-by-step explanation:
What does X Mean in the porblem x+9=11
Answer:
2
Step-by-step explanation:
Answer:
2 because 2 plus 9 is 11
Step-by-step explanation:
Please help me solve this. This stuff is brand new to me and I don’t understand it.
Please go step-by-step to explain it
Simplify: 3(9+3⋅8)−23
Answer:
15.4
Step-by-step explanation:
3(9+3⋅8)−23
3(12.8)-23
38.4-23
15.4
So the answer is15.4
Answer:
76
Step-by-step explanation:
3(9+24)-23
27+72-23
76
Find the difference of 24.7 and 20.5
Answer:
4.2
Step-by-step explanation:
Subtract 20.5 from 24.7
20.5
- 24.7
-----------
4.2
Hope this helped :)
Answer:
4.2
Step-by-step explanation:
24-20=4. .7-.5=.2. 4+.2=4.2
How many solutions does the following equation have?
4 (x - 5) = 4x + 10
Group of answer choices
No solution
One solution
Infinitely many solutions
Two solutions
Select the two expressions that are equivalent to each other.
A. -7/-3
B. three divided by negative 7
C. 3/7
D. (-7) ÷ 3
E. 7/-3
Answer: D and E
Step-by-step explanation:
David biked 24 miles in 4 hours if he biked at a constant speed how many miles did he bike per hour
One of every four doctors recommended Tylenol. If there are 2250 doctors, approximately how many recommended the medicine ?
A.225
B.560
C.850
D.10,000
Noah puts $500.00 into an account to use for school expenses. The account earns 3% interest, compounded annually. How much will be in the account after 8 years?
A. 633.39
B.647.28
C.598.57
D. 618.72
It’s for a test please I need a answer
d
Step-by-step explanation:
Xavier determined that 9% of the sixth grade students in his school play the flute. There are 200 students in the sixth grade. How many students in sixth grade do NOT play the flute?
Answer:
182 people do not play the flute.
Step-by-step explanation:
The answer is 182 because 9% of 200 is 18 and 200 minus 18 equals 182.
What is the solution to ?
Each square has a side length of 12 units. Compare the areas of the shaded regions in the 3 figures. Which figure has the largest shaded region? Explain or show your reasoning.
Answer:They are equal
Step-by-step explanation:
they will add up they are just token apart or in pieces
Three different figures are given. The area of the shaded region of all the figures is the same.
We need to determine the highest shaded area among all.
Now, the area of the square is common to all.
Thus,
[tex]\begin{aligned}\rm{Area\;of\;square}&=12^2\\&=144 \;\rm{units^2}\end{aligned}[/tex]
1). Calculate the shaded area for figure A.
The diameter of the circle is 12 units, hence its radius is 6 units.
Therefore,
[tex]\begin{aligned}\rm{Area\;of\;circle}&=\pi \times 6^2\\&=36 \pi \;\rm{units^2}\end{aligned}[/tex]
[tex]\begin{aligned} \rm{Shaded\; area} &= \rm{Area\; of\; the\; square - Area\; of\; the\; circle}\\&=144-36 \pi \end{aligned}[/tex]
Thus, the area of the shaded region for figure 1 is [tex]114-36 \pi[/tex].
2). Calculate the shaded area for the figure B.
The diameter of the circle is 6 units, hence its radius is 3 units.
Therefore,
[tex]\begin{aligned}\rm{Area\;of\;circle}&=\pi \times 3^2\\&=9 \pi \;\rm{units^2}\end{aligned}[/tex]
[tex]\begin{aligned} \rm{Shaded\; area} &= \rm{Area\; of\; the\; square - 4 \times Area\; of\; the\; circle}\\&=144-36 \pi \end{aligned}[/tex]
Thus, the area of the shaded region for figure 2 is [tex]114-36 \pi[/tex].
3). Calculate the shaded area for figure C.
The diameter of the circle is 4 units, hence its radius is 2 units.
Therefore,
[tex]\begin{aligned}\rm{Area\;of\;circle}&=\pi \times 2^2\\&=4 \pi \;\rm{units^2}\end{aligned}[/tex]
[tex]\begin{aligned} \rm{Shaded\; area} &= \rm{Area\; of\; the\; square - Area\; of\; the\; circle}\\&=144-36 \pi \end{aligned}[/tex]
Thus, the area of the shaded region for figure 3 is [tex]114-36 \pi[/tex].
Therefore, the area of the shaded region of all the figures is the same.
To know more about it, please refer to the link:
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Solve for t.
h=-1/2at^2+ 1
What is t equal to
Answer:
t = − √ 2 a ( − h + 1 )/ a
Step-by-step explanation:
The solution to the given equation is t = √-2(h + 1)/a for "t" as a subject.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The equation is given in the question following as:
h = - 1/2at² + 1
We have to determine the solution to the given equation for t as a subject.
As per the given question, we have
⇒ h = - 1/2at² + 1
Rearrange the terms in the above equation,
⇒ 1/2at² = - h + 1
Multiply by 2 both sides of the equation,
⇒ at² = -2(h + 1)
Divided by "a" both sides of the equation,
⇒ t² = -2(h + 1)/a
⇒ t = √-2(h + 1)/a
Thus, the solution to the given equation is t = √-2(h + 1)/a for "t" as a subject.
Learn more about the equations here:
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What is the value of the expression? 6 • 2³ -(4² + 7)
Answer:
25
Step-by-step explanation:
pemdas
parentheses- 4 to the 2nd power is 16, 16 + 7 is 23.
exponents- 2 to the 3rd power is 8.
multiplication- 6 x 8 is 48
so then its easy from there. its 48 minus 23, which equals 25
Taylor earn $5 each time she walks her neighbors dog she has already earned $25 write and solve an equation to find o....Le list of your answer show your work
Complete question :
Taylor earns $5 each time she walks her neighbor's dog. She has already earned $25. Write and solve an equation to find out how many more times Taylor needs to walk the dog to earn enough to buy a bike that costs $83.
Answer:
12
Step-by-step explanation:
Amount earned for walking dog = $5 per walk
Amount already earned = $25
How many more times dog needs to be walked to buy a bike which costs $83
Target amount = 83
(Target amount - already earned amount) / amount earned per Walk
(83 - 25) / 5
58 / 5
= 11.6
Hence, Taylor needs to walk her neighbor's dog 12 more times
NEED HELP ASAP WILL GIVE 5 STAR
Answer:
I would say the 3rd one, i think
Step-by-step explanation:
How would you break down 40% to find 40% of a number? Check all that apply. 46(10%)
2(25%)
10% + 10% + 10% + 10%
25% + 10%
50% + 10% + 10%
Answer:
I guess B?
Step-by-step explanation:
TBH I'm very confused with this problem, but I would probably say B, none of the others make even a remote bit of sense.
Answer:
The answer is A and C or 4(10%) and 10% + 10% + 10% + 10%
Step-by-step explanation:
I got it right on edge.
Hellppppp 20 points and brainliest!!!
Answer:
A, B, E
Step-by-step explanation:
(ames are out of order)
Each bell pepper is $1.25 (5÷4)
Carl: 5×1.25=$6.25 = $6.25
Evan: 6×1.25=$7.50 ≠ $9.00
Greg: 10×1.25=$12.50 = $12.50
Dean: 3×1.25=$3.75 = $3.75
Frances: 1×1.25=$1.25 ≠ 1.50
I need help with geometry i suck at it very bad
Answer:
x=20
Step-by-step explanation:
Answer:
A triangle is equal to 180. So, 180-90-31=59!