Write the equation of the line, with the given properties, in slope-intercept form.
Slope = -2, through (-4,6)
Answer:
y= -2x -2
Step-by-step explanation:
slope-intercept form:
y= mx +c, where m is the gradient and c is the y-intercept.
Given that the slope is -2, m= -2.
Susbt. m= -2 into the equation:
y= -2x +c
To find the value of c, substitute a pair of coordinates.
When x= -4, y= 6,
6= -2(-4) +c
6= 8 +c (expand)
c= 6 -8 (-8 on both sides)
c= -2 (simplify)
Thus, the equation of the line is y= -2x -2.
Please help I will give out brainliest and 100 points
Answer:
The minimum thickness of the book is 53.8mm
Step-by-step explanation:
Given units/terms
400 pagesFront and back - 0.9mmEach page - 0.13mmSolution:
(0.9mm)(2) + (0.13mm)(400) = 1.8 mm + 52.mm = 53.8mm
Answer:
min. thickness of the book is 53.8mm
Step-by-step explanation:
400 pages, each page thickness = 0.13mm
front and back cover thickness = 0.9mm
total thickness of the book = front + 400 pages + back cover
total = 0.9 + (400 x 0.13) + 0.9
total = 0.9 + 52 + 0.9
total = 53.8 mm
4.61 gallons of milk is sold for $14.86. If you have $21.32 in your wallet. How many
gallons of milk you can buy?
Answer:
You can buy approximately 6.6 gallons of milk.
Step-by-step explanation:
We can solve this problem by making a proportion:
4.61 gallons/$14.86 = x gallons/$21.32
By cross-multiplying, we get:
4.61 × 21.32 = 14.86x
98.29 = 14.86x
x = 6.6 gallons
(-7,6) rotated 90 degrees
For a 90 Degree rotation the original x value becomes the new y value and the new x value is the opposite of the original y value.
The answer would be (-6,-7)
Three times the difference of a number and 5 is 24
Answer:
Step-by-step explanation:
3(x-5)=24
1. Explain how you can use the algebraic representation to determine the new coordinates of a point.
Answer:
Begin at the point, draw a vertical line either up or down to the x-axis to get the x-coordinate.
Begin at the point, draw a horizontal line either to the left or right of the y-axis to get the y-coordinate.
Step-by-step explanation:
In a two-dimensional plane, coordinates of a point define its exact location. The coordinate plane has two axes that are perpendicular to each other which are known as the x and y axis.
To find out the coordinates of a point in the coordinate system, follow the following procedure.
Begin at the point, draw a vertical line either up or down to the x-axis to get the x-coordinate.
Begin at the point, draw a horizontal line either to the left or right of the y-axis to get the y-coordinate.
The x-coordinate and the y-coordinate determine the new coordinates of a point.
If there are 32 students in the class and two teachers, how many feet are there?
Answer: 68
Step-by-step explanation: 32 + 2=34 34*2 + 68 2 because a person naturaly has 2 feets
100 points! Find the slope of the image.
Answer:
5/2
Step-by-step explanation:
We can use the slope formula
m = (y2-y1)/(x2-x1)
A has points ( -2,0) and (0,5) as points on the line
m = ( 5-0)/( 0 - -2)
( 5-0)/( 0 +2)
= 5/2
The lines B and C are parallel so they have the same slope 5/2
what is the domain of the relation graphed below?
Planes A and B intersect. Vertical plane B intersections horizontal plane A at line k. Line k contains points Y and Z. Line m intersects line n at point W. Which describes the intersection of line m and line n? point W point X point Y point Z
Answer:
A.point W
Step-by-step explanation:
The point that describes the intersection of line m and line n is point W. The correct option is A.
What is a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
As it is given that Line m intersects line n at point W. Therefore, The point that describes the intersection of line m and line n is point W. Thus, the correct option is A.
Learn more about Line:
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6(x-2)/12=2(x+1)/7
What does x equal?
Answer:
x=6
Step-by-step explanation:
1. First, distribute the numerator. That leaves you with:
[tex]\frac{6x-12}{12} =\frac{2x+2}{7}[/tex]
2. Now, cross multiply. You should have:
[tex]7(6x-12)=12(2x+2)[/tex]
3. Next, simplify and solve the equation for x. You should have:
[tex]7(6x-12)=12(2x+2)[/tex]
[tex]42x-84=24x+24\\42x=24x+108\\18x=108x=6[/tex]
How much is a centidollar?
Answer:
1/100th of a dollar , the same value as a penny
8 X-6
Multiplying & dividing integers find each product
Answer:
the answer is 48
but because there is -6 the answer will be -48
Solve for x
6x - 2/4 =x - 2
Enter your answer in the box.
x =
Answer:
0.3
Step-by-step explanation:
you would add -2/4 to both sides and subtract x from both sides to get 5x=1.5 which you can reduce to 0.3
i need help on this math problem
Can some one help me with my advanced math homework it’s due tomorrow
Answer:
1.) 88
2.) 196
3.) 63
4.) 90
5.) 367.142857143
6.) 695. 2 repeating
7.) 109.285714286
8.) 63.5593220339
Step-by-step explanation:
(x+42)3x. solve for x
Answer: X is equal to either 0 or -42
Step-by-step explanation:
Solve 1. At a concert, a band sold t-shirts for $18 and hats for $12. They sold 60 t-shirts and hats combined for a total of $870. How many t-shirts did they sell? How many hats?
Answer:
25 t-shirts and 35 hats were sold
Step-by-step explanation:
Here, we want to calculate the number of hats and the number of t-shirts sold.
Let the number of hats be h and the number of t-shirts be t
The sum of both is 60;
Mathematically;
h + t = 60 •••••••••••(i)
The total revenue from selling h hats at $12 per one is 12 * h = $12h
The total revenue from selling t t-shirts at $18 per one is 18 * t = $18t
So the addition of this gives the total;
12h + 18t = 870 ••••••••(ii)
From i, h = 60-t; substitute this into ii
12(60-t) + 18t = 870
720 -12t + 18t = 870
720 + 6t = 870
6t = 870 -720
6t = 150
t = 150/6
t = 25
From the substitution;
h = 60-t
h = 60-25
h = 35
Answer:
48 hats
Step-by-step explanation:
im not sure if this is the right answer but i hope this helps
101) Nicole was 16 years old twelve years ago.
How old is she now?
help asap please!!!
Hey there! I think Nicole would be 28.
Find the common difference of the arithmetic sequence. 6, 9.4, 12.8, 16.2, . . .
Answer:
The answer is 3.4Step-by-step explanation:
The sequence above is an arithmetic sequence
So in order to find the common difference subtract the previous term from the next term
So we have
Taking 9.4 and 6
That's
9.4 - 6 = 3.4
Taking 12.8 and 9.4
12.8 - 9.4 = 3.4
Taking 16.2 and 12.8
16.2 - 12.8 = 3.4
Since the common difference is the same for any of the terms taken , the common difference is 3.4
Hope this helps you
Answer:
3.4
Step-by-step explanation:
Gym A charges $9.00 per hour of childcare. Gym B charges $0.75 per 5 minutes of childcare.
Answer:
$9.00
Step-by-step explanation:
0.75 times 12 equals 9
Answer:
the answer is they are both the same
Step-by-step explanation:
be i took the test
Which situation represents a propertional relationship between the hours worked and the amount earned fir matt and jane?
Mrs. Kim spent $4.77 on her favorite imported cheese. She bought 9/10 of a pound. Find how much cheese cost per pound.
Formulae
The formula for working out the amount of
pasta, in grams, for a meal is
Amount of pasta=125 x number of people
Work out the amount of pasta needed for
A) 2 people
B) 10 people
Answer:
A) 250
B) 1250
Step-by-step explanation:
Amount = 125 x no. People
A) amount = 125 x 2 =250g pasta
B) amount = 125 x 10 =1250g pasta.
Hope this helped!
Which is an accurate conclution regarding the system of equations below ? Y=2/3x-1 and Y=3-2/3x
Answer:
Lets start with the given system of linear equations In order to solve for one variable, we must eliminate the other variable. So if we wanted to solve for y, we would have to eliminate x (or vice versa). So lets eliminate x. In order to do that, we need to have both x coefficients that are equal but have opposite signs (for instance 2 and -2 ...
Step-by-step explanation:
Answer:25
Step-by-step explanation: gnfxnhhfcngn bhh fxbx
Jennifer is saving money to buy a bike. The bike costs $246. She has $138 saved, and each week she adds $18 to her savings.
How long will it take her to save enough money to buy the bike?
Answer: 8 weeks
explanation: 125 + 15x = 245
You then have to subtract 125 from both sides so we can isolate our variable which will give us 15x = 120 . Divide 15 from both sides : 15x/15 = 120/15 which will give us x = 8.
Write a division expression with a quotient of 20^{5}
Answer:
3200000
Step-by-step explanation:
Which pair of fractions shows a correct comparison? A.2/3 = 5/10 B.2/3 1/9 D.1/3 = 3/10 E.1/3 > 5/6 F.1/3 < 4/12
-8 is a term. true or false
Answer:
false
Step-by-step explanation:
Solve the equation for x.
1/3 (6x - 15) = 1/2 (10x-4)
Answer:
x = - 1Step-by-step explanation:
[tex] \frac{1}{3} (6x - 15) = \frac{1}{2} (10x - 4)[/tex]
Expand the terms in the bracket
That's
[tex] \frac{1 }{3} \times 6x + \frac{1}{3} ( - 15) = \frac{1}{2} (10x) + \frac{1}{2} ( - 4) \\ 2x - 5 = 5x - 2[/tex]
Subtract 5x from both sides
[tex]2x - 5x - 5 = 5x - 5x - 2 \\ - 3x - 5 = - 2[/tex]
Add 5 to both sides
[tex] - 3x - 5 + 5 = - 2 + 5 \\ - 3x = 3[/tex]
Divide both sides by - 3
[tex] \frac{ - 3x}{ - 3} = \frac{3}{ - 3} [/tex]
We have the final answer as
x = - 1Hope this helps you