a) through (7, 1) and perpendicular to y=-x+ 3
Step-by-step explanation:
Two lines that are perpendicular to each other has -1 as the product of thir gradient.
Since the gradient of the line y = 3 - x is -1, the gradient of the other line must be 1.
So y = x + c.
When x = 7, y = 1. 1 = 7 + c, c = -6.
Hence the equation of the line is y = x - 6.
The length of a rectangle is 3 m greater than two times the width. The perimeter of rectangle is 30 meters. What is the length of the rectangle?
Answer:
60
Step-by-step explanation:
i think , hopes this help :)
Which is not part of the line segment diagram below? Pleaseee Helpp
Answer:
B....…....…..…..…..……..…..…..…the answer is B
Step-by-step explanation:
two consecutive numbers that lie between the square root of 10
Answer:
3, 4
Step-by-step explanation:
9 < 10 < 16
=> sqrt(9) < sqrt(10)<sqrt(16)
=> 3 < sqrt(10) < 4
acute angle DOG with a measure of 45
Step-by-step explanation:
angle of 45° is drawn.
I hope you got it.
Is it true that all while numbers are integers
Answer:
n o
Step-by-step explanation:
Answer:
Yes.
Step-by-step explanation:
A whole number is a number greater than or equal to zero that does not have any fractions and/or cannot be written with a fractional component. It can also be defined as an integer, though it should be noted that integers include negative numbers. 3, 5, 14, 2, and 0 are all whole numbers and are also all integers. 1.5, 16.32, and -4.598 are not whole numbers and are thus not integers.
i need help with biconditnoal statement for the conditional statement
if a figure extends in only one direction, then it is a ray
A small town's raffle has 85 entries and 3 gift baskets that three different people could win. What is the probability of winning a gift basket if you have 1 of the entries? [1 point]
Answer: 3 / 85
Step-by-step explanation:
Given the following :
Number of gift basket = 3
Nunber of entries = 85
Probability of winning a gift basket if you have one of the entries :
With one entry, one has a chance of winning one of 3 gift baskets
Hence, the required outcome of one entry = 3
Total possible outcomes = number of entries = 85
P(winning a gift basket with one entry) :
Required outcome / Total possible outcomes
= 3 / 85
Also, it could be calculated thus ;
Probability of one entry from a total of 85;
= 1/ 85.
And one entry has a Chance of winning one of 3 different gift baskets
Hence (1/85 × 3) = 3/85
Answer:
Answer is 3/85.
Step-by-step explanation:
There is no need for one, periodt.
Great questions! Now, I'll tell you:
First, perform a rotation 90 degrees clockwise.
Then. translate the figure 1 unit left and 3 units down.
Drag the green points to reflect the new shape. What are points K', L', M', and N'?
Answer:
answer:
the answer is -5
step-by-step explanation:
for an instance you lost 3 fingers of your one hand only to lose the other two then you won't have any finger in one hand therefore you have 5 less (-5) fingers. charot
william is using a 1.75-liter container to fill a 14-liter container of water. about how many times will he need to fill the smaller container?
please question?!!!
Answer:
x=8
Step-by-step explanation:
It is given that, William is using a 1.75-liter container to fill a 14-liter container of water. We need to find how many times will he need to fill the smaller container?
Let x times he fill the smaller container. It can be calculated by dividing the larger value by the smaller value.
[tex]x=\dfrac{14}{1.75}\\\\x=8[/tex]
So, 8 times he needs to fill the smaller container.
Point M is on line segment \overline{LN} LN . Given LN=3x+3,LN=3x+3, LM=4x,LM=4x, and MN=2x,MN=2x, determine the numerical length of \overline{MN}. MN .
Answer:
2 units.
Step-by-step explanation:
It is given that point M is on line segment LN. So,
[tex]LN=LM+MN[/tex] (Segment addition property)
The given values are LN=3x+3, LM=4x, and MN=2x. Substitute these values in the above formula.
[tex]3x+3=4x+2x[/tex]
[tex]3x+3=6x[/tex]
Subtract 3x from both sides.
[tex]3x+3-3x=6x-3x[/tex]
[tex]3=3x[/tex]
Divide both sides by 3.
[tex]1=x[/tex]
[tex]x=1[/tex]
The value of x is 1.
Now,
[tex]MN=2x=2(1)=2[/tex]
Therefore, length of MN is 2 units.
The letter B represents a nonzero constant. Solve bx= -7 for x
Need help ASAP!!!!
Answer:
X=-7/B but I'm not sure if more steps are required for full simplification.
There are two numbers which add up to 29. If one number is 1 more than the other, find the two numbers.
The required smaller number is 14, and the larger number is one more than that, or 15.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Let's call the smaller number x. Then the larger number is x + 1, because we know it is one more than the smaller number. We can set up an equation based on the fact that the two numbers add up to 29,
x + (x + 1) = 29
Simplifying this equation, we get:
2x + 1 = 29
Subtracting 1 from both sides, we get:
2x = 28
Dividing both sides by 2, we get:
x = 14
So the smaller number is 14, and the larger number is one more than that, or 15.
To check, we can add the two numbers together:
14 + 15 = 29
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A MANUFACTURER DETERMINES THAT THE COST OF MAKING A COMPUTER COMPONENT IS $4.141414. I NEED IT IN A FRACTION AS A MIXED NUMBER PLEASE ASAP!!!!!
Answer:
[tex]4 \frac{14}{99}[/tex]
Step-by-step explanation:
First off - chill with the caps dude.
Let's convert this to a mixed number.
We know that any one digit number divided by 9 will get us a repeating decimal of the number we divided by 9. For example, [tex]5 \div 9[/tex] will be [tex]0.\overline{55}[/tex].
The same goes for two digit numbers when they are over 99. [tex]32\div 99 = 0.\overline{32}[/tex]
So this means that to make [tex]0.\overline{14}[/tex] a fraction, we put 14 over 99.
[tex]\frac{14}{99}[/tex]
4 as a fraction is just [tex]\frac{4}{1}[/tex] but since they want it in a mixed number, we can just put a 4 in the beginning of the fraction.
So we get [tex]4 \frac{14}{99}[/tex].
Hope this helped!
2. Find the fraction which is exactly halfway between 1/7 and 4/7
Answer:
That would be the fraction exactly between 2/7 and 3/7
which would be 2.5 / 7 or 5 / 14
Step-by-step explanation:
find the midpoint (-3,0), (8,-10)
Answer:
Let the midpoint be M(x,y)
x=(-3+8)/2
x=5/2=2.5
y=(0-10)/2
y= -10/2= -5
M(2.5, -5)
17. Find the mistake below.
Step 1:
9-5(2x + 4 - 3) = -28
Step 2:
9 - 5(2x + 1) = -28
Step 3:
4(2x + 1) = -28
Step 4:
8x + 4 = -28
Step 5:
8x = -32
Step 6:
x = -4
When did the mistake first appear?
A. Going from Step 1 to Step 2
B. Going from Step 2 to Step 3
Ο Ο Ο
C. Going from Step 3 to Step 4
D. Going from Step 4 to Step 5
Answer:
Step
Statement
1
2
3x + 7 = 15
x + 7 - 7 = 15
ža
3
= 15
4.
3
= 3.15
5
r = 45
Which statement is true?
A. Jake made a mistake in step 2.
B.
Jake made a mistake in step 4.
C.
Jake made a mistake in step 5.
OD Jake solved the equation correctly.
Answer:
If the air trolley ended at 60 km and it traveled 20 km- what was its starting position?
Step-by-step explanation: Step
Statement
1
2
3x + 7 = 15
x + 7 - 7 = 15
ža
3
= 15
4.
3
= 3.15
5
r = 45
Which statement is true?
A. Jake made a mistake in step 2.
B.
Jake made a mistake in step 4.
C.
Jake made a mistake in step 5.
OD Jake solved the equation correctly.
Answer:
If the air trolley ended at 60 km and it traveled 20 km- what was its starting position?
Step-by-step explanation:
Step-by-step explanation:
On average, water flows over a particular water fall at a rate of 2.05 x 105 cubic feet per second. One cubic foot of water weighs 62.4 lb. Calculate the rate of water flow in tons of water per day. (1 ton = 2200 lb)
Answer:
5.024 × 10^8 tons /day
Step-by-step explanation:
This question has to deal with conversion
We are told in the question that:
On average, water flows over a particular water fall at a rate of 2.05 x 10^5 cubic feet per second.
Water flow rate = 2.05 × 10^5 ft³/s
From the question,
One cubic foot of water weighs 62.4 lb.
1 ft³ = 62.4 lb
1 ton = 2200 lb
We are to calculate the flow rate in tons per day
Hence,
1 ft³ = 62.4 lb
2.05 × 10^5 ft³ =
Cross Multiply
2.05 × 10^5 × 62.4
= 12792000lb
Hence the water flow rate = 12792000lb/s
From the question,
2200 lb = 1 ton
12792000 Ib =
Cross Multiply
12792000lb × 1 ton/2200 lb
= 5814.5454545 tons
Hence the water flow rate = 5814.5454545 tons/second
We want the flow rate to be in tons/day
1 ton / second = 86400 tons / day
5814.5454545 tons/second = x tons/ day
Cross Multiply
x = 5814.5454545 tons/second × 86400 tons /day/ 1 ton / second
= 502376727.27 tons/day
= 5.0237672727 × 10^8 tons/day
Approximately ≈ 5.024 × 10^8 tons /day
Therefore, the rate of water flow in tons of water per day is 5.024 × 10^8 tons of water /day
In this expression Marianna claims that 2X And negative X are not like terms because -x doesn't have a coefficient.Is she correct?Explain your reasoning
Answer:
She is incorrect
Step-by-step explanation:
Given:
2x and -x
Required
Like term or not?
Like terms are determined by the term itself and not by their coefficients;
Take for instance;
[tex]x^2[/tex] and [tex]2x[/tex] are not like terms because a term has square while the other doesn't
Another instance;
[tex]-3x[/tex] and [tex]2x[/tex] are like terms because they both have the presence of just 1 x
In Marianna's case;
2x and -x are like terms;
Reason being that: -x can be rewritten as -1x; giving it a coefficient of -1
Ava wants to figure out the average speed she is driving. She starts checking her car’s clock at mile marker 0. It takes her 4 minutes to reach mile marker 3. When she reaches mile marker 6, she notes that 8 minutes total have passed since mile marker 0. What is the average speed of the car in miles per minute?
Answer:
4 minutes = mile mark 3
8 minutes = mile mark 6
the constant of proportionality is both 3/4 so the answer is 3/4 miles per minute
How do you write x² − 8x in vertex form?
Answer:
Step-by-step explanation:
y=(x-4)^2-16
When you add a positive number and a negative number, how can you tell whether the sum will be positive or negative? A. The sum will always be negative. B. The sum will always be positive. C. The sum will have a sign of the addend with the lesser absolute value. D. The sum will have the sign of the addend with the greater absolute value.
Answer:
Its C
Step-by-step explanation:
The sign of the resultant value will depend upon added values and the sum will have the sign of the addend with the lesser absolute value so the correct option will be (C).
What is summation?A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation. There could be only two terms, but there could be one hundred, thousand, or a million. There are summations with an infinite set of parameters.
In other words, the summation is the addition or subtraction of any two or more terms. As a result, we have a new result that may be large or little, depending on the quantity.
In given question
Let's suppose we add +5 + (-7) = -2 so here the sign is negative because the 5 is greater than the -7 so it is clear by this example that the sign of the addend with the lesser absolute value.
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Which binomials are factors of x^2 + 4x – 12?
Select the two correct answers.
x - 3
x - 6
x - 4
x - 2
x + 3
X + 6
x + 2
x + 4
Answer:
x + 6 and x - 2
Step-by-step explanation:
Given
x² + 4x - 12
Consider the factors of the constant term (- 12) which sum to give the coefficient of the x- term (+ 4)
The factors are + 6 and - 2, since
6 × - 2 = - 12 and 6 - 2 = + 4 , thus
x² + 4x - 12 = (x + 6)(x - 2) ← in factored form
Please help this is just an assignment a few questions.
Answer:
A = (1/2)Cr
Step-by-step explanation:
You're supposed to observe that the circle area decomposes into what is approximately* a parallelogram with height equal to the circle radius and base equal to half the circumference. The area is then ...
A = bh
A = (1/2)Cr
If you fill in the formula for C, you find this matches the formula for the area of a circle:
A = (1/2)(2πr)(r) = πr²
_____
* In the limit, as the number of sectors approaches infinity, this is exactly a parallelogram.
Inequality: 3-4x>3x-18 =x<3 does x=0 satisfy the inequality? Explain ur answer
Answer:
30
Step-by-step explanation:
14a²b
7a²b
=
Simplify
Step-by-step explanation:
if14a^2b/7a^2b answer is 2
and if the sign is addition then the answer is21a^2b if subtraction answer is7a^2b
After Luca took his dogs for a walk, he gave them 6 dog treats. When Luca's dad got home from work, he gave the dogs t more treats. All together that day, Luca's dog got 10 dog treats. Write an equation to describe this solution. How many dog treats did Luca's dad give the dogs?
Answer:
Luca's Dad gave Luca's Dog 4 treats
Step-by-step explanation:
Equation:
6 + x = 10
Step 1:
x = 10 - 6
Answer:
x = 4
Hope This Helps :)
I turned the dial on my stove 45 degrees from the start position If i continue to turn the dial how many degrees further will i need to rotate it to return to the start position.
Answer:
315 degrees
Step-by-step explanation:
360 degrees make a full circle, and since you've already turned 45 degrees, you will need 315 degrees more.
Answer:
Hey!
To turn it all the way to its starting position is the same as turning it 360 DEGREES...so your answer will be 315 DEGREES MORE!
Step-by-step explanation:
PROOF : 315 + 45 = 360 OR 360 - 45 = 315
HOPE THIS HELPS!
use Euler's method with a step size of 0.4 to approximate the solution of the differential equation y'=2xy; y(1)=2, at x=3
Answer:
Approximate solution is 541.
Step-by-step explanation:
y' = 2xy, Δx = 0.4.
Make a table:
x y y' y' Δx + y
1 2 4 4*0.4 + 2 = 3.6 <---this is the new y value.
1.4 3.6 10.08 7.632
1.8 7.632 27.48 18.624
2.2 18.624 81.95 51.70
2.6 51.70 268.85 159.24
3 159.24 955.44 541.4
10 rational numbers between -2 and 1/8
Answer:
there should not be negative number in rational number