Suppose that J and K are points on the number line.
If JK = 10 and J lies at -17, where could K be located?
If there is more than one location, separate them with commas.
Answer:
-7, -27
Step-by-step explanation:
J is at -17. K is 10 units from J.
Start at point J, -17:
a) If you go 10 units to the right, you end up at -17 + 10 = -7
b) If you go 10 units to the left, you end up at -17 - 10 = -27
J can be at -7 or at -27
Answer: -7, -27
Tell me the linear equation for point-slope form?
9. Whats is the equivalent fraction for 0.625
Answer:
5/8
Step-by-step explanation:
You need to convert to a simplified fraction by placing the numbers to the right of the decimal over 1000. Then reduce the fraction.
Which number is IRRATIONAL?
25.23
8
which number is irrational? 25.23 is irrational because 8 is a rational number.
Answer:
None
Step-by-step explanation:
First let's define the meaning of irrational.
It means "no ratio", which is a number that goes on forever without repeating (e.g. pi and the square root of 2)
25.23 is rational and 8 is also rational.
Is 1/2 an irrational number?
Answer:
Yes, 1/2 is a irrational number
Step-by-step explanation:
This is the answer because (Google research):
A number is rational if we can write it as a fraction where the numerator and denominator are both integers. However, numbers like 1/2, 46485928/2628242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.
Hope this helps!
Solve 3x -12 = 24.
Please help!
Answer:
12
Step-by-step explanation:
3x - 12 = 24
Add 12 to both sides to make 3x the subject of the equation.
3x - 12 (+12) = 24 (+12)
3x - 0 = 36
3x = 36
Divide both sides by 3.
3x/3 = 36/3
x = 12
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The required solution to the given equation 3x -12 = 24 is x = 12.
What is the algebraic equation?Algebraic equations are mathematical statements with a minimum of two terms containing variables or numbers that are equal.
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The given equation is given in the question
⇒ 3x - 12 = 24
Add 12 to both sides of the above equation
⇒ 3x - 12 (+12) = 24 (+12)
⇒ 3x - 0 = 36
Apply the subtraction operation,
⇒ 3x = 36
Divide both sides by 3.
⇒ 3x/3 = 36/3
⇒ x = 12
Therefore, the required solution to the given equation 3x -12 = 24 is x = 12.
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find f(-3) when f(x)=x2-2x+7
Answer:
f(-3) = 22Step-by-step explanation:
f(x)=x² - 2x + 7
To find f(-3) substitute the value of x that's - 3 into f(x). That is for every x in f (x) replace it with - 3
We have
f(-3) = (-3)² - 2(-3) + 7
= 9 + 6 + 7
We have the final answer as
f(-3) = 22
Hope this helps you
Find two consecutive odd integers such that seven times the first equals five times the second.
Answer:
Odd integers are always one more that an even integer:
1st: 2n+1
2nd: 2n+3
Step-by-step explanation:
14n+7 = 10n+15
4n = 8
n = 2
------------
1st: 2n+1 = 5
2nd: 2n+3 = 7
7x=5*(x+2)
7x=5x+10
7x-5x=10
2x=10
x=5
5 and 7 are the two consecutive odd integers such that seven times the first equals five times the second.
What are Integers?Integers are the numbers consisting of whole numbers and the negatives of natural numbers.
Let 2n + 1 and 2n + 3 be the two consecutive odd integers.
We have the relation seven times the first integer equals five times the second.
7 (2n + 1) = 5 (2n + 3)
By distributive property,
(7 × 2n) + (7 × 1) = (5 × 2n) + (5 × 3)
14n + 7 = 10n + 15
Taking the terms containing unknowns on one side and constants on other side,
14n - 10n = 15 - 7
4n = 8
n = 8 / 4
n = 2
So the first number = 2n + 1 = (2 × 2) + 1 = 5
and the second number = 2n + 3 = (2 × 2) + 3 = 7
Hence the two consecutive odd integers such that seven times the first equals five times the second is 5 and 7.
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The distance between the paralled lines 3x + 4y +15 = 0 and 3x + 4y -10 = 0 is equal to: pls help ASAP
Answer:
5 units
Step-by-step explanation:
Please see attached pictures for the full solution.
(This distance is the perpendicular distance between the 2 parallel lines, which is the shortest distance between them.)
Answer:
D 21/5
Step-by-step explanation:
edge
A line passes through the points (1,-6) and (4,3) What is the Y intercept of this line?
Answer: b=-9
Step-by-step explanation:
To find the y-intercept of the line, we can use the points given to make an equation. To find the slope, you use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]m=\frac{3-(-6)}{4-1} =\frac{9}{3} =3[/tex]
Now that we know the slope, we can fill in what we know and solve for y-intercept.
y=3x+b
We can plug in any point to solve for y-intercept.
3=3(4)+b [multiply]
3=12+b [subtract both sides by 12]
b=-9
Now, we know that the y-intercept is b=-9.
Can anyone help me with this? (I took a picture of it too)
11. STEM To convert a temperature in degrees Celsius to degrees
Fahrenheit, multiply the Celsius temperature by 9/5 and then add 32°. Is a
temperature in degrees Celsius proportional to its equivalent temperature in
degrees Fahrenheit?
Degrees Celsius
0
10
20
30
Degrees Fahrenheit
132
Answer:
no
Step-by-step explanation:
Whenever a linear equation is something other than
y = kx
the relation is not proportional.
__
Here, you have ...
y = (9/5)x +32
The added constant ensures the relation is not proportional.
X- (-12)=25
( FIND X)
Step-by-step explanation:
X- (-12)=25
X+12=25
X=25-12
X=13
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How is the graph of y = (x + 1)^2- 5 transformed from the graph of y=x^2?
[tex]\text{Hi there! :D}[/tex]
[tex]\boxed{\text{There is a horizontal shift of 1 unit left and 5 units down.}}[/tex]
[tex]\text{Recall that the transformations form of a quadratic function is:}\\\\y = \pm a(b(x-h))+k \text{ where:}\\\\a = \text{ vertical stretch/compression}\\\\b = \text{ horizontal stretch/compression}\\\\h = \text{ shift left/right}\\\\k = \text{ shift up/down}\\\\\text{Therefore, in this instance:}\\\\h = -1\\\\k = -5, \text{ so:}\\\\\text{There is a horizontal shift of 1 unit left and 5 units down.}[/tex]
A rectangle has an area of 102cm2. The length of the rectangle is 17 cm. What is the perimeter of the rectangle
Answer:
36
Step-by-step explanation:
To find the with divide 102 by 17, we get 6. Then add 6+6+17+17 because we know this is a rectangle and it has 2 with sides and 2 length sides. We get the answer of 36.
solve for the equation 6x+14=7x+8
Answer:
x = 6
Step-by-step explanation:
For this problem, we simply will isolate the x to find the value of x:
6x + 14 = 7x + 8
6x + -6x + 14 = 7x + -6x + 8
14 = x + 8
14 + -8 = x + 8 + -8
6 = x
Hence, x = 6.
Cheers.
Answer:
x=6
Step-by-step explanation:
First, subtract 6x from both sides to get:
14=x+8
Now, subtract 8 from both sides to get x alone:
6 = x
Which equation represents the data: m = -3, b = 5
O y = -3x + 5
O y = x
Oy= 5x - 3
Zero
Answer:
y=-3x+5
Step-by-step explanation:
In the form of y=mx+b
helppp fast!!!10 points!!
Find the value for k. then find the angle of the triangle
Answer:
Answer:
k=135
Step-by-step explanation:
180=45+k
-45 -45
_________
135=k
540 repeated is equal to x/37
Is this true?
Answer:
The answer is x= 19980
Step-by-step explanation:
You do 540 = x/37 ---> then divide by 1/37 on each side and you get --> 19980 = x ---> you can plug it back in and get the right answer. 540 = 19980/37 = --------> 540=540
9x^2 - 16 = (px+t)(px-t) both p and t are constants. Which of the following could be the value of p
Answer:
p = 3
Step-by-step explanation:
9x² - 16 ← is a difference of squares and factors in general as
a² - b² = (a + b)(a - b)
Thus
9x² - 16
= (3x)² - 4²
= (3x + 4)(3x - 4)
Compare with (px + t)(px - t)
then p = 3
Sarah has 5⅓ cups of cat food. Her cat eats ⅔ of a cup each day. How many days will the food last?
Answer:
It will last 8 days
Step-by-step explanation:
divide 5 1/3 by 2/3
(-5, 4) and (4,1)
What is the distance between the two points rounded to the nearest tenth
Answer:
AB=9.49
Step-by-step explanation:
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Examine the diagrams below. What is the angle pair
relationship between the labeled angles? Use the
relationship to write an equation and solve for x. Then
confirm your answer by calculating the angle measures
of the labeled angles. Show your work in the text box.
✓
a.
3x + 5°
5x - 57°
Answer:
b
Step-by-step explanation:
Answer two questions about Equations A and B:
A. 5 = -2(x-1)
B. 5=-2x + 2
1) How can we get Equation B from Equation A?
The value of x for the given equation is -3/2.
The given equation is 5 = -2(x-1).
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Here, 5 = -2(x-1) can be written as 5=-2x + 2.
Now, 5-2=-2x
⇒ 3=-2x
⇒ x=-3/2
Therefore, the value of x for the given equation is -3/2.
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one of the displays at a botanical garden is a koi pond with a walk away around it. The figure who’s the dimensions of the pond and the walkaway?
a) area of pond
b) area of walkaway
An object is moving at a speed of 2 feet every 8.5 minutes. Express this speed in meters per hour
Answer:
4.30m/hr
Step-by-step explanation:
2 feet/8.5 mins is 0.235294118 feet per minute, which is 4.3030553875397 metres per hour, which to 2 s.f. is 4.30
In meters per hour the speed is 470 meters per hour.
We have an object moving at a speed of 2 feet every 8.5 minutes.
We have to express this speed in meters per hour.
Convert - i). 1 feet to meters 2). 1 minute to hour1 feet = 3.29 meters
1 hour = 60 minutes → 1 minute = [tex]\frac{1}{60}[/tex] hour = 0.017 hr
According to question - We have :
Speed = 2 feet in 8.5 minutes
We know -
1 feet = 3.29 meters
2 feet = 2 x 3.29 = 6.58 meters
and
1 minute = 0.017 hr
8.5 minutes = 8.5 x 0.017 = 0.14 hr
Now -
In 0.014 hr, distance covered = 6.58 meters
In 1 hr, distance covered will be - [tex]\frac{6.58}{0.014}[/tex] = 470 meters/hour
Hence, in meters per hour the speed is 470 meters per hour.
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a. The formula F=95(K−273.15)+32 converts a temperature from Kelvin K to Fahrenheit F. Solve the formula for K.
K= this is solved
b. Convert 240∘ F to Kelvin K. Round your answer to the nearest hundredth.
240∘F ≈ __ Kelvin
The value of temperature in Kelvin K which has the value 240 degree in Fahrenheit F is 275 K.
How to convert a temperature from Kelvin?The formula to convert a temperature from Kelvin K to Fahrenheit F is,
[tex]F=95(K-273.15)+32[/tex]
Here, K is Kelvin and F is Fahrenheit.
Solve the formula for K in the following way,
[tex]F=95(K-273.15)+32[/tex]
Subtract 32 both side,
[tex]F-32=95(K-273.15)+32-32\\F-32=95(K-273.15)[/tex]
Divide, with 95, both side of equation,
[tex]\dfrac{F-32}{95}=(K-273.15)\\\dfrac{F-32}{95}=K-273.15\\\dfrac{F-32}{95}+273.15=K[/tex]
This is the solved equation for K.
To convert 240∘ F to Kelvin K, put the value in the formula given in above equation,
[tex]\dfrac{F-32}{95}+273.15=K\\\dfrac{240-32}{95}+273.15=K\\\dfrac{208}{95}+273.15=K\\2.12+273.15=K\\275.27=K\\K\approx 275[/tex]
Thus, the value of temperature in Kelvin K which has the value 240 degree in Fahrenheit F is 275 K.
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Answer:
240° ≈ 388.71K
Step-by-step explanation:
240° ≈ 388.71 K
A number múltiple by 0.5 is 12.25. Find the number.
Answer:
24.5
Step-by-step explanation:
n0.5=12.25
n/0.5=12.25/0.5
n=24.5
what is 3/4 + 1/6? how do you do that
Answer:
answer 11/12
hope this helped you
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can anyone help me it’s algebra 2
Answer:
2.5
Step-by-step explanation:
4x+1=11
4x=11-1
4x=10
x=10/4
=2.5