Answer:
y = -9.5 + x/4
Step-by-step explanation:
1. x-4y=38
-x -x
2. -4y= 38-x
/-4 /-4 /-4
3. y= -9.5 + x/4
The equation of a line x- 4y = 28 in slope intercept form is y = (1/4)x - 7.
What is slope?Slope can be defined as the rate of change of the y-axis with respect to the x-axis. Slope can also be thought of as rise over run which is (y₂-y₁)/(x₂-x₁).
We know the equation of a line in slope intercept form is y mx + b.
Where slope = m, y-intercept = b, and (x,y) are the points that lie on the line.
Given x - 4y = 28.
-4y = - x + 28.
4y = x - 28.
y = (1/4)x - 7.
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BRAINLIEST ASAP!! Find the focus of the parabola: f(x) = 1/4(x – 3)^2 + 1
Question: Find the focus of the parabola: f(x) = 1/4(x – 3)^2 + 1
Answer: Focus: (3, 2)
Step-by-step explanation:
Use the vertex form to find the focus. Hope this helps!
Helps me solve this problem please
Answer: {-1, 0, 1}
Explanation: The range of a relation is the set of all y-coordinates.
So the range is {1, 0, -1} which would be your answer.
Note however that the range is usually written in ascending order.
In other words, from least to greatest.
So our range can be written as {-1, 0, 1}.
Unlimited
Factor by grouping (sometimes called the ac-method).
4x² + 3x - 10
First, choose a form with appropriate signs.
Then, fill in the blanks with numbers to be used for grouping.
Finally, show the factorization.
Form:
o
Ax? +
1 x + x - 10
Х
$
4x
+
x - l * - 10
4x?
[ x + x - 10
4x?
x - 10
Factorization:
Answer:
(4x - 5)(x + 2).
Step-by-step explanation:
4x^2 + 3x - 10
4 * 10 = -40
We need 2 numbers whose product is -40 and whose sum is +3.
Theses are = - 5 and + 8.
So we write:
4x^2 + 8x + -5x - 10
= 4x(x + 2) - 5(x + 2)
= (4x - 5)(x + 2).
Please help!!
I have 5 mins
Answer:
3/2
Step-by-step explanation:
Just count the rise over run
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Use rise/run.
Between points, it rises by 3, then runs laterally by 2.
Thus, 3/2.
Determine if triangle GHI and triangle JKL are or are not similar, and, if they are, state how you know. (Note that figures are NOT necessarily drawn to scale.)
Answer:
Given triangles are similar
Step-by-step explanation:
We can tell that given triangles are similar by comparing their side lengths.
HG is proportional to KJ
GI is proportional to JL
IH is proportional to LK
we can see the proportion better if we write it like this:
25/75 = 1/3
30/90 = 1/3
19/57 = 1/3
1/4x20 in fraction for prodigy math game
Answer:
5
Step-by-step explanation:
Find the area plllllllllssssss
Answer:
A = 25 ft²
Step-by-step explanation:
the area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
here b = 10 and h = 5 , then
A = [tex]\frac{1}{2}[/tex] × 10 × 5 = 5 × 5 = 25 ft²
Write an equation and solve for x using the given information. (see image attached)
Answer:
Equation : 6x + 8 = 26
x = 3
Step-by-step explanation:
The given shape is a rectangle.
Here ( x + 1 ) cm and ( 2x + 3 ) cm are the sides,
where,
Length ( l ) = 2x + 3
Breadth ( b ) = x + 1
Perimeter is the sum of all sides.
Formula : -
Perimeter of a rectangle = 2 ( l + b )
Perimeter of a rectangle
= 2 ( 2x + 3 + x + 1 )
= 2 ( 2x + x + 3 + 1 )
= 2 ( 3x + 4 )
= 2 ( 3x ) + 2 ( 4 )
= 6x + 8
The given value of the perimeter is 26 cm.
So the equation is,
6x + 8 = 26
The value of x can be found by solving this equation.
6x + 8 = 26
Subtract 8 on both sides,
6x = 26 - 8
6x = 18
Divide 6 on both sides,
x = 18 / 6
x = 3
Hence the value of x is 3.
The pages of Ayhan's book are numbered from 1. The page numbers have a total of 459 digits.
How many pages does the book have?
A) 119
D) 215
B) 189
E) 219
C) 190
Step-by-step explanation:
the first 9 pages have 1 digit (1 to 9).
the next 90 pages have 2 digits (10 to 99).
that is in total
9×1 + 90×2 = 189 digits.
that leaves us
459 - 189 = 270 digits for pages with 3 digit page numbers (100 and up).
there are 900 pages with 3 digit page numbers = 2700 digits, which is larger than 270.
so, the solution must be in this interval (there are no pages with 4 digit page numbers like 1000).
after how many pages with 3 digit pages numbers do we have a total of 270 digits ?
270/3 = 90 pages.
so, we have 9 + 90 + 90 = 189 pages in the book.
1/5a+5=21, what is the value of a
Answer:
the value of a is 80
A=80
Step-by-step explanation:
Answer: A=100
Step-by-step explanation: You multiply 1/5A by 5 and 21 by five. A+5=105 and then you subtract 5 giving you 100
a window washer cleaned 42 windows and 4 hours at this rate how many windows will he wash in 10 hours
Answer:
105
Step-by-step explanation:
42/4 = 10.5 windows/hour
10.5 x 10 = 105 windows
Jhone worked at the Dollar store and someone had a toy that was 3.50$ and the man gave Johne 5.00$ So how much do jhone have to give him back
9 ≤ 2(3a − 3) ≤ 24
what is the answer plzzzzzzz
Answer:
a = 3a = 4a = 5There are three solutions. I hope this helps!
shylas resreach shows that 8 empty cans can make 1/4
8 cans equal 2 and not 1/4
Involves sine/cosine rules
Answer:
44.47 cm² (nearest hundredth)
Step-by-step explanation:
Area of ΔABC = 1/2 x base x height
⇒ 21 = 1/2 x 7 x BC
⇒ BC = 6 cm
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
⇒ AB² + BC² = AC²
⇒ 7² + 6² = AC²
⇒ AC² = 85
⇒ AC = √85 cm
Cosine rule to find length AD:
c² = a² + b² - 2 ab cosC
⇒ DC² = AD² + AC² - 2(AD)(AC)cos(DAC)
⇒ 9.2² = AD² + (√85)² - 2(AD)(√85)cos 73°
⇒ AD² - 5.39106...AD + 0.36 = 0
⇒ AD = 5.323442445, 0.06762541414
⇒ AD = 5.323442445
Area of a triangle ADC: (1/2)absinC
(where a and b are adjacent sides and C is the angle between them)
⇒ area = (1/2) × AC × AD × sin(DAC)
⇒ area = (1/2) × √85 × 5.323442445 × sin(73°)
⇒ area =23.4675821... cm²
Area of quadrilateral = area of ΔABC + area of ΔADC
= 21 + 23.4675821...
= 44.47 cm² (nearest hundredth)
Which is bigger -2.5 or -3/1
Answer:
-2.5
Step-by-step explanation:
-2.5 is greater.
someone pls answer this!!
Answer:
line p
Step-by-step explanation:
Line p forms both angle 3 and angle 5 by passing through other lines. It is also a transversal because it passes through a system of lines (line n and l).
PLEASEEWWE HELPPP!! Select each transformation that carries a square onto Itself.
1.) a reflection over one of the square's sides
2.) a reflection over one of the square's diagonals
3.) a rotation of 90° clockwise about the square's center
4.) a rotation of 180'clockwise about one of the square's vertices
5.) a rotation of 180' clockwise about the square's center
A C D
Step-by-step explanation:
in which situation do the quantities combine to make 0?
Answer:
The additive inverse of a real number is the opposite of that number on the real number line. For example, the opposite of −3 is 3. A number and its additive inverse have a sum of 0. The sum of any number and its opposite is equal to zero.
A ribbon is cut into 2 pieces so that piece x is half as long, in feet, as piece y. Which table represents this situation?
y
y
24
12
24
8
24
6
24
0
38
18
36
12
36
9
36
48
24
48
16
48
12
48
10
60
30
60
20
60
15
60
Answer:B; (12,24) (18,36), etc
Step-by-step explanation:divide y and x, in this case 24÷2=12
The ribbon cuts into the pieces are (12,24) (18,36), (24, 48), and (30, 60) which satisfy the equation.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have:
A ribbon is cut into 2 pieces so that piece x is half as long, in feet, as piece y.
x = y/2
or
2x = y
Based on the above equation the pairs of (12,24) (18,36), (24, 48), and (30, 60) satisfy the equation.
Thus, the ribbon cuts into the pieces are (12,24) (18,36), (24, 48), and (30, 60) which satisfy the equation.
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1. What is the degree of
the polynomial
below?
x^3 + 2x - 3x^4 + 5 +
3х^2
Answer:
4
Step-by-step explanation:
The highest power(exponent) of the variable 'x' is the degree of the polynomial.
In this sum the highest power of x is 4
Degree = 4
You are in line at a ticket window. There are two more people ahead of you than there are behind you. The number of people in the entire line (don’t forget to count yourself!) is three times the number of people behind you. How many people are ahead of you in line, and how many are behind you?
Step-by-step explanation:
Let people behind you=x
People ahead of you will be x+2
Total number of people in the line(including you) = x+(x+2)+1 = 2x+3
Also, 2x+3=3x
So x=3
People ahead = x+2 = 5
People behind = x = 3
How do you multiply mixed fractions?
Thanks :)
a bag contained x cups of flour Miranda used 3.25 cups of flour to make biscuits the bag now contains 1.90 cups of flour how much flour was in the bag before Miranda made biscuits?
Answer:
5.15
Step-by-step explanation:
Question 6 options:
The Edwards family spends $800 per month on groceries for their family. If this is 18% of their monthly budget, then what is their monthly budget?
Round to the nearest cent (hundredths place).
Answer:
Monthly budget = $4444.44
Step-by-step explanation:
Let the monthly budget of Edwards family = x dollars
18% of monthly budget spends on groceries
Hence,
18% of x = 800
[tex]{\dfrac{ 18 }{ 100 } \times x = 800}[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:100\:to\:cancel\:out\:the\:fraction}[/tex]
[tex]100 \times \dfrac{ 18 }{ 100 } x = 800 \times 100[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]18x = 80000[/tex]
[tex]\mathrm{Divide\:18\:from\:both\:sides}[/tex]
[tex]\dfrac{ 18x }{ 18 } = \dfrac{ 80000 }{ 18 }[/tex]
[tex]x = 4444.444444444[/tex]
Rounded to the nearest cent: $4444.44
How many solutions does the system of equations have?
y = 9x - 4
y = -6x + 6
Answer:
1 solution (2/3, 2)
Step-by-step explanation:
BRAINLIEST PLS HURRY
A gym charges members $25 for a registration fee, and then $34 per month. You became a member some time ago, and now you have paid a total of $501 to the gym. How many months have passed since you joined the gym?
_______ months have passed since you joined the gym.
Answer:
14 months
Step-by-step explanation:
501 - 25 = 476
476 / 34 = 14
Answer:Cost = $33 per month + Fee 1. C(m) = 33m + F 33(6) + F = 228198 + F = 228F = $30 membership fee C(m) = 33m + 30 2. At 9 months: 33(9) + 30 = $327
Step-by-step explanation:
You must be at least 21 to enter
the club.
х over or under 21
A dog is tied to a wooden stake in a backyard. His leash is 3 meters long and he runs around in circles pulling the leash as far as it can go. How much area does the dog have to run around it?
Answer:
28.26
Step-by-step explanation:
Use the formula, πr^2 to find the area of circles
What makes a pair linear?
Answer:
A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
Answer:
A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
Step-by-step explanation: