Answer:
3 is the slope of the line
Step-by-step explanation:
2 is the y-intercept:)
Hope I helped a little! I wish you lcuk with all my heart!
if A=x² +xy-6, B=6xy-2x² +1 and C= 3x² +7 -3xy,find :(i) A+B+C (ii)A-B+C (iii)A+B-C
Answer:
I)
[tex]\displaystyle A + B + C = 2x^2 + 4xy + 2[/tex]
II)
[tex]\displaystyle A - B + C = 6x^2 -8xy[/tex]
III)
[tex]\displaystyle A + B - C= -4x^2 + 10xy -12[/tex]
Step-by-step explanation:
We are given the three equations:
[tex]\displaystyle A = x^2 + xy -6,\, B = 6xy - 2x^2 +1 \text{ and } C = 3x^2 + 7 -3xy[/tex]
I)
We want to find:
[tex]\displaystyle A + B + C[/tex]
Substitute:
[tex]\displaystyle = (x^2 + xy - 6) + (6xy -2x^2 + 1) + (3x^2 + 7 -3xy)[/tex]
Rewrite:
[tex]\displaystyle = (x^2 + 3x^2 - 2x^2) + (xy + 6xy - 3xy) + (-6 + 1 + 7)[/tex]
And combine like terms. Hence:
[tex]\displaystyle A + B + C = 2x^2 + 4xy + 2[/tex]
II)
We want to find:
[tex]\displaystyle A - B + C[/tex]
Likewise, substitute:
[tex]\displaystyle = (x^2 + xy - 6) - (6xy - 2x^2 + 1) + (3x^2 + 7 - 3xy)[/tex]
Distribute:
[tex]\displaystyle = (x^2 + xy - 6) + (-6xy +2x^2 - 1) + (3x^2 + 7 - 3xy)[/tex]
Rewrite:
[tex]\displaystyle = (x^2 + 2x^2 +3x^2) + (xy - 6xy -3xy) + (-6 -1 + 7 )[/tex]
And combine like terms. Hence:
[tex]\displaystyle A - B + C = 6x^2 -8xy[/tex]
III)
We want to find:
[tex]\displaystyle A + B - C[/tex]
Substitute:
[tex]\displaystyle = (x^2 + xy - 6) + (6xy - 2x^2 + 1) - (3x^2 + 7 - 3xy)[/tex]
Distribute:
[tex]\displaystyle = (x^2 + xy - 6) + (6xy - 2x^2 + 1) + (-3x^2 - 7 + 3xy)[/tex]
Rewrite:
[tex]\displaystyle = (x^2 - 2x^2 - 3x^2) + (xy +6xy +3xy) + (-6 +1 - 7)[/tex]
And combine like terms. Hence:
[tex]\displaystyle A + B - C= -4x^2 + 10xy -12[/tex]
Perpendicular to the line y=4x+8 and contains the point (-8,4) in standard form.
A sheet of standard-size copy paper measures 8.5 in. by 11 in. If a ream (500 sheets) of this paper has a volume of 187(to the third power) in. , how thick is the ream.
I need an explanation on how to do it please.
============================================================
Explanation:
The area of any given sheet of paper is 8.5*11 = 93.5 square inches.
Divide the volume over this area to get the height of the stack
187/(93.5) = 2
The stack is 2 inches tall.
Extra info: The thickness of each piece of paper is 2/500 = 0.004 of an inch which approximates to about 0.1016 mm.
To keep it simple i am confused about this problem what can i do?
*show work
*will give brainlist
Answer:
11. 10, 20,30,40,50,60,70
12. 35, 45,55,65,75,85,95
Step-by-step explanation:
10 dollars per week for 7 weeks in equivalent to 10x7 which equals $70.
If you already had $25 you would do 10x7+25. Using PEMDAS you would multiply first (10x7=70) then add 25 (70+25=95)
In this diagram, BAC~EDF. If the area of BAC=15 in2, what is the area of EDF? 4, 5.
Enter a decimal rounded to the tenths.
Answer:
9.6 square inches.
Step-by-step explanation:
We are given that ΔBAC is similar to ΔEDF, and that the area of ΔBAC is 15 inches. And we want to determine the area of ΔDEF.
First, find the scale factor k from ΔBAC to ΔDEF:
[tex]\displaystyle 5 k = 4[/tex]
Solve for the scale factor k:
[tex]\displaystyle k = \frac{4}{5}[/tex]
Recall that to scale areas, we square the scale factor.
In other words, since the scale factor for sides from ΔBAC to ΔDEF is 4/5, the scale factor for its area will be (4/5)² or 16/25.
Hence, the area of ΔEDF is:
[tex]\displaystyle \Delta EDF = \frac{16}{25}\left(15\right) = 9.6\text{ in}^2[/tex]
In conclusion, the area of ΔEDF is 9.6 square inches.
Alex is 1.88 meters tall and Belle is 1.73 meters tall. How much taller is Alex than Belle in meters
Answer: 0.15 meters taller
Step-by-step explanation:
Two thirds of a number is 24. Find the number.l
Answer:
36
Step-by-step explanation:
of means multiply and is means equals
2/3 *x = 24
Multiply each side by 3/2
3/2 * 2/3 *x = 24 * 3/2
x = 36
helpppp quick please!! explanation and answers! thanks:)
Answer:
DO NOT CHEAT
Step-by-step explanation:
IT'S HARAM >:(
-(x)+2)=2(3x-6) awnser
Answer:
[tex] -( x) + 2 = 2(3x - 6) \\ - x + 2 = 2 \times 3x - 2 \times 6 \\ - x + 2 = 6x - 12 \\ x \: terms \: togther \\ - x - 6x = - 12 - 2 \\ - 7x = - 14 \\ x = \frac{ - 14}{ - 7} = 2 \\ x = 2 \\ thank \: you[/tex]
Check each set that includes the number shown. 5/9
Answer:
rational numbers and real numbers
Step-by-step explanation:
please mark me brainliestAlgebra Nation Section 1 Topic 4 Question 7
How much should each person receive?
5.
Ed and Ted win half a million dollars on an internet lottery.
They decide to share the money in the ratio 13 : 12.
How much more will Ed receive than Ted?
4 × 5 + [14 + 8] - 36 ÷ 9
Answer:
38
Step-by-step explanation:
4 × 5 + [14 + 8] - 36 ÷ 9
4 × 5 + 22 - 36 ÷ 9
4 × 5 + 22 - 4
20 + 22 - 4
42 - 4
38
Step-by-step explanation:
use pemdas
P= parenthesis
E= exponents
M= multiply
D= divide
A= addition
S= subtraction
please help me im being timed
Find the inverse of the function:
f(x)=−4x+8
Answer:
(x) = -x/4+2
Step-by-step explanation:
Inverse the function, so swap the places of x and y
x = -4y + 8
Then solve for y
x - 8 = -4y
-x/4 + 2 = y
y = -x/4 + 2
g(x) = -x/4+2
What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4)?
O y=
--x-1
Oy=-x+5
O y=-x-1
O y=x+5
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Submit
Mark this and retum
The equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4) is y = [tex]-\frac{5}{x} x-1[/tex]
Parallel lines
Parallel lines have the same slope. Therefore, using slope intercept form.
y = mx + b
m = slope
b = y-intercept
Therefore,
5x + 2y = 12
2y = -5x + 12
[tex]y = -\frac{5}{2} x+12[/tex]
The slope of the line is [tex]-\frac{5}{2}[/tex]
Base on parallelism, for the line that passes through (-2, 4)
y = mx + b
4 = [tex]-\frac{5}{2} (-2)+b[/tex]
b = -1
Therefore,
y =
learn more on parallel lines here: https://brainly.com/question/18245473
Simplify to create an equivalent expression.
Answer:
A
Step-by-step explanation:
Given
- k - (- 8k + 7) ← distribute parenthesis by - 1
= - k + 8k - 7 ← collect like terms
= 7k - 7 → A
Answer:
7k + 7
Step-by-step explanation:
-k - (-8k + 7)
-k + 8k + 7
7k + 7
give brainliest please I need it to level up
- I am a multiple of 5
- My hundreds digit is equal to my tens digit
- the sum of my digit is 19
what number am I?
Answer:
The number is 775
7=7
7+7+5=19
775 is a multiple of 5
the owner of two hotels is ordering towels. he bought 11 hand towels and 22 bath towels for his hotel in Oxford, spending a total of $220. he also ordered 65 hand towels and 14 bath towels for his hotel in Greenpoint, spending $256. how much does each towel cost
Answer:
$4.25
Step-by-step explanation:
11+22+54+14=112
$220+$256= 476
476÷112=$4.25
Steven works at the Pi Day food truck and he gets paid $9 per hour x. If 1 point
last night he made $30 in tips, find his total pay equation p(x). (Standard 5-
HSF-IF.A.2) *
p(x)=9+30x
p(x)=39x
p(x)=39+x
p(x)=9x+30
whats the perimiter of the following rectangle? The side says x - 2 and the bottom says 2x + 1
Answer:
6x-2
Step-by-step explanation:
The perimeter of a rectangle is found by
P = 2(l+w)
=2( x-2 + 2x+1)
Combine like terms
P = 2(3x-1)
Distribute
P = 6x-2
the width of rectangle is 2w, and the length is (w+5). the perimeter is 40 inches. what are the measurements of the rectangle?
Width = 2w , Length = w+5 , perimeter = 40
Perimeter of rectangle = 2 (Length + Width)
P= 2 (L + w)
40 = 2 [ (w+5) + (2w) ]
40 = 2 ( 3w+5)
40= 6w +10
6w= 40 – 10
6w= 30
w = 30/6
w = 5
Width = 2w = 2(5) = 10
Length = w + 5 = 5+5 = 10
I hope I helped you^_^
Kendra bought 235 donuts for $120. Her profit was $35 once she had sold 100 donuts. Which equation below represents Kendra’s profit P(n), as a function of the number sold, n?
P(n)=0.85n-120
P(n)=-0.85n+120
P(n)=0.35n
P(n)=1.55n-120
Find the slope of the line going through the points (-10, 0) and (4, 0). Enter your answer in simplest form. (For example, slope = -4/2 = -2 )
Answer:
y = 0
Step-by-step explanation:
To find the slope, we have to plug the values into the slope-intercept formula.
y2 - y1 / x2 - x1
0 - 0 / 4 - (-10)
0 / 14
= 0
24 rounded to the nearest hundred
Answer:
24.00
Step-by-step explanation:
24.oo to the nearest hundred
1.
Which is the graph of the exponential function y = 0.5(0.5)x?
Answer:
The answer is B
Step-by-step explanation:
BRAINLIEST!! The product of two numbers is 144, but their sum is –24. What are these two numbers?
A. -22 and -2
B. -12 and -12
C. -20 and -4
D. -10 and -14
Answer:
B .-12 and -12
Step-by-step explanation:
it is because when we multiply two -digit the answer is in +
so like in the same -12 * -12=144
And when we add the digit we get -24
Hence, it is proved
Can someone please answer this question.
Use the Pythagorean theorem to solve for the diagonal distance
Diagonal = sqrt(50^2 + 150^2)
Diagonal distance = sqrt(25,000)
Diagonal distance = 158.11 feet
Round to 158 feet.
If the stayed on the sidewalk they would walk 50 + 150 = 200 feet.
The distance they saved = 200-158 = 42 feet
Answer: 42 feet.
the size of an interior angle of a rectangular polygon is(3x)⁹ while the exterior angle is (X-20)⁰.find the number of side of the polygen.
Answer:
12 sides
Step-by-step explanation:
The sum of the exterior angle and the interior angle = 180° , then
3x + x - 20 = 180
4x - 20 = 180 ( add 20 to both sides )
4x = 200 ( divide both sides by 4 )
x = 50
Then
exterior angle = x - 20 = 50 - 20 = 30°
The sum of the exterior angles of a polygon = 360°
The number of sides n is sum divided by 1 exterior angle , that is
n = 360° ÷ 30° = 12
Help ASAP, I’ll give brainliest
Show work ty
Step-by-step explanation:
A
3(6+15)
=3(21)
=63
B
5[15-(6+1)]
=5(8)
=40
B
⅓(15)
=5
C
⅓(6+15)
=⅓(21)
=7
E
15/6
=2/1/2 or 2.5
W
2(6)(15-3)
=2(7)
=36
L
4(⅓+⅓+⅓)
=4(1)
=4
L
6/15 - 15/6
=36/90 - 225/90
= -189/90
= -21/10
Help me prettyy please
Answer:
[tex]y = \frac{3}{5} x + \frac{49}{5} [/tex]
Step-by-step explanation:
slope = -5/3
Perpendicular slopes must be opposite reciprocals of each other: m1 * m2 = –1
With the new slope, use the slope intercept form and the point to calculate the intercept: y = mx + b
the new slope = 3/5
y = 3/5 x + b
8 = -9/5 +b
b = 40/5 + 9/5 = 49/5
y=3/5x + 49/5