Answer:
11a
Step-by-step explanation:
You can combine like terms. Since they both have a after the number, you can just think of it as an addition problem. 6+5= 11. 6a+5a=11a.
I need help thank you
Answer:
x is greater than or equal to 8.75 or 8 3/4
Step-by-step explanation:
So we first write the inequality 3 + 1.2c "is greater than or equal to sign" 13.5. Then we subtract 3, then divide both sides by 1.2 to isolate c. We get x "is greater than or equal to" 8.75.
Writing Equations of Parallel Lines
y
10
What is the slope of the line that is parallel to the given
line and passes through the given point?
8
6
What is the equation, in point-slope form, of the line
that is parallel to the given line and passes through the
given point?
4.
2
-10 -8 6 4
What is the y-intercept of the line that is parallel to the
given line and passes through the given point?
2
4.
6
8
10
-2
-2
4
-6
-8
-10
Answer:
The slope of the parallel line to the given line is [tex]-\frac{1}{4}[/tex]
The equation of the parallel line to the given line and passes through the given point is y + 4 = [tex]-\frac{1}{4}[/tex] (x + 2)
The y-intercept of the parallel line to the given line and passes through the given point is [tex]-\frac{9}{2}[/tex]
Step-by-step explanation:
The rule of the slope of the line that passes through points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]The point-slope form of the linear equation is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the lineThe slope-intercept form of the linear equation is y = m x + b, where m is the slope and b is the y-interceptParallel lines have the same slopes and different y-interceptsIn the given figure
∵ The given line passes through points (2, 6) and (-6, 8)
∴ x1 = 2 and y1 = 6
∴ x2 = -6 and y2 = 8
→ Substitute them in the rule of the slope above to find it
∵ m = [tex]\frac{8-6}{-6-2}[/tex] = [tex]\frac{2}{-8}[/tex] = [tex]-\frac{1}{4}[/tex]
∴ The slope of the given line is [tex]-\frac{1}{4}[/tex]
∵ Parallel lines have the same slopes
∴ The slope of the parallel line to the given line is [tex]-\frac{1}{4}[/tex]
∵ The parallel line passes through the point (-2, -4)
∴ x1 = -2 and y1 = -4
∵ m = [tex]-\frac{1}{4}[/tex]
→ Substitute them in the point-slope form above
∵ y - (-4) = [tex]-\frac{1}{4}[/tex] (x - (-2))
∴ y + 4 = [tex]-\frac{1}{4}[/tex] (x + 2)
∴ The equation of the parallel line to the given line and passes through
the given point is y + 4 = [tex]-\frac{1}{4}[/tex] (x + 2)
∵ m = [tex]-\frac{1}{4}[/tex]
→ Substitute it in the slope-intercept form above
∴ y = [tex]-\frac{1}{4}[/tex] x + b
→ To find b substitute x by -2 and y by -4 (coordinates the given point)
∵ -4 = [tex]-\frac{1}{4}[/tex](-2) + b
∴ -4 = [tex]\frac{1}{2}[/tex] + b
→ Subtract [tex]\frac{1}{2}[/tex] from both sides
∴ [tex]-\frac{9}{2}[/tex] = b
∵ b is the y-intercept
∴ The y-intercept of the parallel line to the given line and passes
through the given point is [tex]-\frac{9}{2}[/tex]
Answer:
What is the slope of the line that is parallel to the given line and passes through the given point?
✔ –1/4
What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the given point?
✔ y + 4 = –1/4(x + 2)
What is the y-intercept of the line that is parallel to the given line and passes through the given point?
✔ –9/2
Step-by-step explanation:
Kirk's average driving speed is 7 kilometers per hour faster than Thor's. In the same length of time it takes Kirk to drive 450 kilometers, Thor drives only 408 kilometers. What is Kirk's average speed?
Answer:
x = 816 kilometers per hour.
Step-by-step explanation:
Given the following data;
Distance traveled by Kirk = 450km
Distance traveled by Thor = 408 km
Let the average driving speed of Thor be x.
Translating the word problem into an algebraic equation;
k = x + 6
We know that the time taken to cover a distance by an object with speed is given by the formula;
Time = distance/speed
Substituting into the equation, we have;
408/x = 405/x + 6
Cross-multiplying, we have;
408*(x + 6) = 405*x
408x + 2448 = 405x
408x - 405x = 2448
3x = 2448
x = 2448/3
x = 816 kilometers per hour.
The local candle store marks up the price of its candles by 75% before selling them. If the store paid
the distributor $6.99 per candle, how much will a candle cost in the store?
Answer:
$12.23
Step-by-step explanation:
75/100 = 0.75
0.75 x 6.99 = 5.2425
6.99 + 5.2425 = 12.2325
6. Sharon divides a meatloaf into elevenths. How many elevenths equals the whole meatloaf?
Answer:
11 elevenths equal a whole meatloaf
11/11=1
Answer:
11 11ths
Step-by-step explanation:
11/11 = 1 whole
Write 1.417x10^2 in standard notation please hurry .thank you
Answer:
The standard notation would be 141.7
Step-by-step explanation:
Find a public opinion poll from a media source that predicts a probability. Design a probability experiment that models a political science public opinion poll.
What are the possible outcomes and sample space of the experiment?
What were the results of the experiment? Show the results in table format.
What is the probability of each option?
How can a binomial probability experiment be set up to test the accuracy of the results?
i know this is a bit of an odd one to need help with, but this decides my grade, so please only answer if you can help
Probability theory, a branch of mathematics concerned with the analysis of random phenomena. The outcome of a random event cannot be determined before it occurs, but it may be any one of several possible outcomes. The actual outcome is considered to be determined by chance.
What are the domain and range of the function? F(x)=-3/5x^3
Answer:
A) Domain: All real numbers, excluding zero (-∞, 0) ∪ (0, ∞)
Range: All real numbers, excluding zero (-∞, 0) ∪ (0, ∞)
Step-by-step explanation:
Please help ASAP I am so confused
Here are the steps, hope it helps!
Can someone help me please
Answer: B
Step-by-step explanation:
It has to be B. None of the other answers make sense.
I'm having some trouble on this
11. Find the measure of each missing angle.
Help me pls!
Answer:
1=15?
Step-by-step explanation:
5*4=15 becuz lower angle=top 1 angle and stuff i hope this helps. im just a helpless 6th grader :)
Could you tell me the answer of 3(b)? Pleaseeeeee
Answer:
(b)
[tex]\displaystyle \frac{2005}{2006}[/tex]
Step-by-step explanation:
(a)
First, we have to prove that:
[tex]\displaystyle \frac{1}{x}-\frac{1}{x+1}=\frac{1}{x(x+1)}[/tex]
Operate:
[tex]\displaystyle \frac{1}{x}-\frac{1}{x+1}=\frac{x+1-x}{x(x+1)}[/tex]
Simplifying:
[tex]\displaystyle \frac{1}{x}-\frac{1}{x+1}=\frac{1}{x(x+1)} [1][/tex]
(b)
Now we use the above expression to find the sum:
[tex]\displaystyle S=\frac{1}{1\times 2}+\frac{1}{2\times 3}+\frac{1}{3\times 4}+...+\frac{1}{2005\times 2006}[/tex]
Let's use [1] for each term of the sum:
[tex]\displaystyle \frac{1}{1\times 2}=\frac{1}{1}-\frac{1}{2}[/tex]
[tex]\displaystyle \frac{1}{2\times 2}=\frac{1}{2}-\frac{1}{3}[/tex]
[tex]\displaystyle \frac{1}{3\times 4}=\frac{1}{3}-\frac{1}{4}[/tex]
[tex]\displaystyle \frac{1}{2005\times 2006}=\frac{1}{2005}-\frac{1}{2006}[/tex]
Substituting:
[tex]\displaystyle S=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+....+\frac{1}{2005}-\frac{1}{2006}[/tex]
Note the terms 1/2 and -1/2, 1/3 and -1/3, etc. are canceled out, leaving only the first and last terms:
[tex]\displaystyle S=\frac{1}{1}-\frac{1}{2006}=\frac{2006-1}{2006}[/tex]
[tex]\boxed{\displaystyle S=\frac{2005}{2006}}[/tex]
16 children together weigh 480 kg 960 g . If weight of all the children are equal, find the weight of each child.
Answer:
30.06 kg
Step-by-step explanation:
480kg 960g = 480969g.
480960 / 16 = 3060g
30060g
30060g = 30.06kg.
HELP ASAP
1. A group of numbers, variables, and/or operation symbols that represent a mathematical relationship. is called?
2. A known number, a variable, or the product of a known number and a variable; separated by plus (+) and minus (-) symbols. is called?
Answer:
1. polynomial
2. equation
I hope it will be useful.
By the distributive law 49×17+49×3
5713065981 if your this guy text me
Answer:
imagine she doesn't find him
*grins with werid intantions*
The list of all factors for 21 is 1, 3, 7, and 21.
True or False
plz i need help
Answer:
true
Step-by-step explanation:
hope you have a wonderful new year
Scarlet deposited $500 in a savings account with simple interest. One year later she had earned $30 in interest. What was the interest rate?
Answer:
6%
Step-by-step explanation:
Interest = Principal x Rate x Time (in years)
30 = 500r
r = 3/50 or 6/100 which is 6%
[tex] \sqrt{2} \div 2 + 2 \div \sqrt{2 } [/tex]
What does it equal to??
Answer:
[tex]\frac{3\sqrt{2} }{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{\sqrt{2} }{2}[/tex] + [tex]\frac{2}{\sqrt{2} }[/tex] ← rationalise the denominator by multiplying by [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex]
= [tex]\frac{\sqrt{2} }{2}[/tex] + ( [tex]\frac{2}{\sqrt{2} }[/tex] × [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex] )
= [tex]\frac{\sqrt{2} }{2}[/tex] + [tex]\frac{2\sqrt{2} }{2}[/tex]
= [tex]\frac{3\sqrt{2} }{2}[/tex]
I BET EVERYONE CAN GET THIS RIGHT BUT NOT ME
(C)
A man, 1.4m tall, is inspecting the behavior of a bird sitting at the top of a pole of
the height 43.4m. If the man is standing 14√3m away from the bottom of the pole
on the horizontal level, at what angle is he looking at the bird?
60°
take (43.4-1.4)m to get the remaining height which Wii be you height ie.42m
base is the distance that the man stands away from the pole
using tan rule will be opposite/adjacent
Student council wants to paint a mural of the school mascot on a wall in the gym. The scale 1 inch represents 2.5 feet is used in their plan the mascot will be 10 feet tall in the actual mural how tall is the mascot on the plan in inches
Answer:
4 inches
Step-by-step explanation:
1 inch * 10 feet / 2.5 feet = 4 inches
In order for the parallelogram to be a square x = ?
Answer: x = 7
Step-by-step explanation: In order for a parallelogram to be a square, the angles at the corners must be 90 degrees, and the diagonals that bisect the corner angles must be 45 degrees.
4x + 17 = 45 Subtract 17 from both sides.
4x = 28 Divide both sides by 4
x = 7
WILL GIVE BRAINELIEST ( dont know how to spell it lol)
Temperature can be measured in degrees Celsius (°C). A temperature of 0°C is the freezing point of water. Which statements are true?
Select all correct answers.
A temperature of 10°C is colder than –12°C.
A temperature of 10°C is colder than –12°C.
When the temperature is 70° above freezing, the temperature is 70°C.
When the temperature is 70° above freezing, the temperature is 70°C.
A temperature of –16°C is colder than –12°C.
A temperature of –16°C is colder than –12°C.
A temperature of –8°C is colder than –12°C.
A temperature of –8°C is colder than –12°C.
A half degree above the freezing point is a negative number.
A half degree above the freezing point is a negative number.
When the temperature is 7° below freezing, the temperature is –7°C.
Answer:
When the temperature is 70° above freezing, the temperature is 70°C.
A temperature of –16°C is colder than –12°C.
When the temperature is 7° below freezing, the temperature is –7°C.
A temperature of 10°C is colder than –12°C.
When the temperature is 70° above freezing, the temperature is 70°C.
A temperature of –8°C is colder than –12°C.
When the temperature is 7° below freezing, the temperature is –7°C.
In Siberia, a record high temperature of 98 F has been reported. The record low temperature is 192 degrees lower than the record high temperature. What was the coldest Siberia temperature?
Answer:
Lo: - 94o F
Step-by-step explanation:
Hi: 98oF
Difference: 192 degrees lower
Low: ?
Formula
98 - 192 = -94
That seems incredibly cold. I've lived through a day that was - 60oF and that was enough. (about - 51o C)
If you think in Celcius
The formula is
C = 5/9(F - 32)
C = 5/9 (-94 - 32)
C = 5/9 (-126)
C = -60
I think Siberia must be much colder than -60.
The equation 4 = p(l+r) can be used to calculate compound interest on a savings account. A = future balance
p= current balance, r= rate of interest, and t= time in years. If you deposit $2,000 at 10% each year, how much
money will be in your account in 10 years? (Round to the nearest dollar.)
A 2200
B. 4000
C. 4318
D. 5,187
What is the solution?
Answer:
(2,3)
Step-by-step explanation:
it's the point of intersection
hope this helps, pls mark brainliest :D
Answer:
2,3 i believe 2 on the x axis and 3 on the y
Step-by-step explanation:
For the function F(x) = }, which of these could be a value of F(x) when xis
close to zero?
Given:
The graph of the function [tex]f(x)=\dfrac{1}{x}[/tex].
To find:
The value of the function f(x), when x is close to zero.
Solution:
From the given graph it is clear that, f(x) approaches towards infinity and negative infinity as x approaches towards 0.
[tex]f(x)\to \infty[/tex] as [tex]x\to 0^+[/tex]
[tex]f(x)\to -\infty[/tex] as [tex]x\to 0^-[/tex]
In means, the value of must be very large positive value or very large negative if x is close to zero.
From the given options -10,000 is very large negative value.
So, the possible value of f(x) could be -10000 if x is close to 0.
Therefore, the correct option is A.
You throw a ball into the air from a height of 5 feet with an
initial vertical velocity of 32 feet per second. Use the vertical
motion model, h = –16t2 + vt + s, where v is the initial
velocity in feet per second and s is the height in feet, to
calculate the maximum height of the ball. Round your answer
to the nearest tenth if necessary.
Maximum height