Answer:
Step-by-step explanation:
If two lines are parallel then they will have the same slope. So all you need to do is find the slope of the line that joins the two given points. You can use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. You can also graph the two points and use rise over run. [tex]\frac{7-(-5)}{-5-7} =\frac{12}{-12}=-1[/tex]
-1 is the slope of a line that is parallel to the line joining (7,-5) and (-5,7)
What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Given, a line that is parallel to the line joining (7,-5) and (-5,7)
Since lines are parallel to each other thus their slope will be the same.
From the general formula of slope:
Slope = (y₂ - y₁)/(x₂ - x₁)
Slope = (7 + 5)/ -5 - 7)
Slope = -1
Therefore, the slope of a line that is parallel to the line joining (7,-5) and (-5,7) is -1.
Learn more about Linear equations here:
https://brainly.com/question/11897796
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Which real world scenario matches this inequality? 10X < 4X +2 The cost of 10 shoes is greater than the cost of 4 shoes plus $2 socks. The cost of 10 shoes is greater than the cost of 4 shoes plus $2 socks. The cost of 10 shoes is less than the cost of 4 shoes with a $2 off coupon. The cost of 10 shoes is less than the cost of 4 shoes with a $2 off coupon. The cost of 10 shoes is less than the cost of 4 shoes with $2 socks. The cost of 10 shoes is less than the cost of 4 shoes with $2 socks. The cost of $2 is greater than the cost of 4 shoes.
Answer:
The cost of 10 shoes is less than the cost of 4 shoes with a $2 off coupon.
Explanation:
The inequality corresponds closely to the cost of 10 shoes being less than cost of 4 shoes with $2 off coupon. Closely because there is an error here the constant $2 off coupon should mean it is reducing the price of 4 shoes and therefore a minus sign should come before it, equation should be 10x<4x-2.
We can see that X is the price per shoe here
Find the explicit formula and the value of the term indicated in 45, 40, 35, 30, ...; a50
Answer
25,20,15,10,5,0
The distance between point A(2,3) and point B(6,1) is ?
Answer:
[tex]2 \sqrt{5} [/tex]
decimal form: 4.47213595
Answer: 395 km
lol they want it to be 200 characters long what I look like ? Lol
The value of the first term of a G.P if its sum of three numbers is 7 and their
product is 8.* find the gp.
Sum of three terms in a GP = 7
Product of the numbers = 8
Find:G.P
Solution:Let the three numbers be a/r , a , ar where a is the first term and r is the common ratio.
So,
⟹ a/r + a + ar = 7 -- equation (1)
And,
⟹ (a/r) * a * ar = 8
⟹ a³ = 8
⟹ a = ³√8
⟹ a = 2
Substitute the value a in equation (1).
⟹ 2/r + 2 + 2r = 7
⟹ (2 + 2r + 2r²)/r = 7
⟹ 2 + 2r + 2r² = 7r
⟹ 2r² + 2r - 7r + 2 = 0
⟹ 2r² - 5r + 2 = 0
⟹ 2r² - 4r - r + 2 = 0
⟹ 2r(r - 2) - 1 (r - 2) = 0
⟹ (2r - 1)(r - 2) = 0
★ 2r - 1 = 0
⟹ 2r = 1
⟹ r = 1/2
★ r - 2 = 0
⟹ r = 2
If r = 1/2 ;
a/r = 2/(1/2) = 2 * 2 = 4
a = 2
ar = 2 * 1/2 = 1
If r = 2 ;
a/r = 2/2 = 1
a = 2
ar = 2 * 2 = 4
∴ Required GP is 4 , 2 , 1 or 1 , 2 , 4.
I hope it will help you.
Regards.
Step-by-step explanation:
Assume that the 4 terms are a/r, a , ar, ar2.
Product of first 3 terms = a3 =8
=> a=2
Sum of last 3 terms :
a(1 + r + r2) = 14
=> r2 + r - 6 = 0
Solving the above equation r= -3 or 2
So the terms are
-2/3, 2, -6, 18
Or
1, 2, 4, 8
BRAINLIST!!!!!!!!!
which one is a function???
Answer: C
i hope this helps
It costs a company $20 per box to make pocket-sized stuffed animals. The company also has a fixed manufacturing cost of $2300. The owners are trying to calculate their cost for making boxes of animals. a. Identify the variables in this relationship and indicate which would be the independent variable and which would be the dependent variable.
Answer:
We want to write the cost equation for the company.
First, we know that:
It cost $20 per box.
There is a fixed cost of $2300.
Then the only variable will be the number of boxes that they make.
Where the number of boxes is the independent variable (the company can decide the number of boxes that they make) and the dependent variable will be the cost (the cost changes as the number of boxes change).
Then we can write the cost equation as:
C(x) = $20*x + $2300.
Where x is our variable, the number of boxes made by the company.
Show all work to identify the asymptotes and zero of the function f(x)=5x (over) x^2-25
9514 1404 393
Answer:
asymptotes: x = ±5; y = 0zero: x = 0Step-by-step explanation:
The function will have a zero where the numerator is zero:
5x = 0
x = 0 . . . . divide by 5
The zero of the function is x=0.
__
The function will have vertical asymptotes where the denominator is zero:
x^2 -25 = 0
x^2 = 25 . . . . add 25
x = ±5 . . . . . . take the square root
The function will have vertical asymptotes at x = -5 and x = 5.
__
When x gets large, the magnitude of the function is approximately ...
5x/x^2 = 5/x
As x approaches infinity, this value approaches zero.
The function will have a horizontal asymptote at y = 0.
Using elimination method.
1:x+y=16
x-y=0
Answer:
x = 8 and y = 8
Step-by-step explanation:
Giving equations:
x + y = 16
x - y = 0
Unknown:
Find the values of x and y= ?
Solution:
x + y = 16 ---- (i)
x - y = 0 ------(ii)
Add i and ii:
2x = 16
x = 8
Subtract i and ii;
2y = 16
y = 8
A box has a length of 6 centimeters, a width of 4 centimeters, and a height of 5 centimeters. Jen filled the bottom layer with 24 cubes. What is the volume of the box?
Answer:
120 centimeters cubed
Step-by-step explanation:
you dont even need to know the last part. multiply length x width x height=volume (6x4x5) to get 120. the volume is 120 centimeters cubed :)
Answer:
120
Step-by-step explanation:
I know this question is old but why not
HELP PLSSS ASAPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:I think it’s 75
Step-by-step explanation:
What is the value of the expression below when x=3 and y=8?
6x + 10y
Answer: Answer: 98
6(3) + 10(8) = 98
Step-by-step explanation:
Which graph shows the set of all solutions for the equation 7x + 2y = -14? (1 point)
Answer:
y=[tex]\frac{-7}{2}[/tex]x-7
Step-by-step explanation:
you didnt put a graph so this is the linear equation
what is 7 less than the product of 5 and a number?
Answer:
7x - 5 = 42
Step-by-step explanation: Hope this helps you!
[tex] \frac{1}{11} \times x = [/tex]
NEED THIS NOW/URGENT
i dont know how to simplify with fractions please need this right now!
Answer:
1/11x
Step-by-step explanation:
Answer: it is [tex]\frac{1}{11}x[/tex] or [tex]\frac{x}{11}[/tex]
A recipe requires 1/3 cup of milk for each 1/4 cup of water. How many cups of water are needed for each cup of milk ?
Answer:
0.75 or 3/4
Step-by-step explanation:
multiply each by 3 equal full cup of milk and 3/4 of water
Answer the answer is 83
Step-by-step explanation:
a game consists of placing seeds in 24 cups. a player puts two seeds in the first cup, four in the second, six in the third and so on. how many seeds will be required altogether if the player continues to the 24th cup in this way?
Step-by-step explanation:
The next cup will always have 2 more than the previous one. Continue the pattern of adding two seeds to each cup until you reach the 24th cup like so:
#s on left side = # of seed , #s on right side = # cup
6 | 3 8 | 4 10 | 5 12 | 6 14 | 7 16 | 8 18 | 9 20 | 10 22 | 11
24 | 12 26 | 13 28 | 14 30 | 15 32 | 16 34 | 17 36 | 18 38 | 19
40 | 20 42 | 21 44 | 22 46 | 23 48 | 24
What you want to know is the number of TOTAL SEEDS NEEDED TO PLAY THIS GAME. NOT how many seeds will be in the 24th cup. To find the TOTAL you need to add 2 + 4 + 6 and so on like so:
2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22 + 24 + 26 + 28 + 30 + 32 + 34 + 36 + 38 + 40 + 42 + 44 + 46 + 48 = 600 TOTAL SEEDS TO PLAY THIS GAME. (this is your answer)
just help and explain. tryna bring up my grade lol and no it’s not a test.
Answer:
0
Step-by-step explanation:
Answer: WE create 0
Step-by-step explanation: SINCE 5 and -5 are opposites they cancel out to 0.
The Rock Zoo nurses 37 species of big cats. Recently, a few species of big cats were sponsored to other zoos around the country. The zoo now nurses only 25 species. How many species of big cats were sponsored to other zoos?
Write the equation to be used to solve this equation.
Answer:
12 species
Step-by-step explanation:
37-N=25
working backwards
25-37=N
=25-37=12
What is the slope of a line perpendicular to the line in the graph
-2/3
3/2
-3/2
2/3
PLS ANSWER ASAP
Answer:
3/2
Step-by-step explanation:
opposite inverse
(x2 – 2x – 2)(3x2 - 4x +4)
Answer:
10-4x
Step-by-step explanation:
5/-8 + 2/3
Evaluate it and in simplest form
Answer:
1/24
Step-by-step explanation:
(-5/8)+2/3
(-15/24)+16/24
1/24
Please help I really need it
Answer: m< MIH is 34°
M< AVM is 70°
And the angle of the obtuse angle formed at the intersection of AV and HI is 104°
Step-by-step explanation: starting with m<MIH, AH is parallel to MI, so that would make the same angle H has the same for I. (34°)
Next is m<AVM. The angle of m<LAH is 110°. So the angle of m<HAV (because it's supplementary of it) is 70 (110+70=180). Which makes m<AVM 70° since it's vertical to each other.
Since we got those answers, the next one you just plug it in, and the answer would be 104°
how are you supposed to multiply fraction?
I just need help with 1-8
Answer:
1. Reflexive Property of equality
2. Addition Property of equality
3. Subsitution
4. Definition of Congruence
5. Transitive Property
6. Division of equality
7. Segment Addition postulate
8. Subtraction of equality
Step-by-step explanation:
Solve for x in the equation x squared minus 4 x minus 9 = 29
Answer:
x=5
Step-by-step explanation:
4x-9=29
4x=29-9
4x=20
x=20/4
x=5
The radio of 2,787 to 1,750 is ____
Answer:
1.59
Step-by-step explanation:
Divide 2,787 by 1,750
Michael worked 42 hours last week. His regular pay is $10.00 per hour. He is paid 1 1/2 times his regular pay for overtime hours (in excess of 40 hours). What was his gross pay?
Answer:
$430
Step-by-step explanation:
Total hours worked by Michael = 42 hours
hours worked by Michael in excess of 40 hour = 42 - 40 = 2 hour
thus,
Michael worked 2 hours overtime.
money paid for working 1 hour in regular pay = $10.00
money paid for working 40 hour in regular pay = $10.00*40 = $400
lets calculate money paid to him for over time
given
Michael is paid 1 1/2 times his regular pay for overtime hours
Money paid for overtime for 1 hour = 1 1/2 *money paid for working 1 hour in regular pay
Money paid for overtime for 1 hour = 3/2 *$10 = $15
Money paid for 2 hours work overtime = $15*2 = $30
Thus,
gross pay for 42 hours work for Michael = $400 + $30 = $430
Rewrite 8 2/5
as an improper fraction.
Answer:
42/5
Step-by-step explanation:
If you multiply the denominator (5) by the whole number you would get 40, so then, you add this to the numerator (2), you would get 42 after. So the answer would be 42/5 (you keep the denominator). You can trust my answer because I'm n middle school and this was in like elementary school :P
solve x²-24x+14=0 by completing the square. what are the solutions
Answer:
x=±√130+12
I believe :-)
Find the equation of the line that is parallel to the given line and passes through the given point. y=-5x+7;(7,0)
Answer:
y = -5x + 35.
Step-by-step explanation:
y = -5x + 7
The slope for that y = -5x+7 is -5. Parallel lines have the same slopes which means the line parallel to that one will also have a slope of -5.
So now let's use the slope intercept form to create the equation that is parallel to the above equation.
y = mx + b
Since slope (m) is -5, we can plug it into the equation.
y = -5x + b
Now let's use the point (7,0) to find the y-intercept (b). We can do that by plugging the numbers in (7 for x and 0 for y).
y = -5x + b
0 = -5(7) + b
0 = -35 + b
b = 35
Now let's plug the y-intercept back into the equation.
y = -5x + 35
Therefore, the equation is y = -5x + 35.
Hope this helped! If not, please let me know! <3