Answer:
[tex]_{\text{point-slope form}}[/tex]
[tex]\huge\boxed{y-1=-\dfrac{1}{4}(x+4)}[/tex]
[tex]_{\text{slope-intercept form}}[/tex]
[tex]\huge\boxed{y=-\dfrac{1}{4}x}[/tex]
Step-by-step explanation:
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
where
[tex]m[/tex] - a slope
[tex](x_1 y_1)[/tex] - a point of a line
We have
[tex]m=-\dfrac{1}{4};\ (-4;\ 1)\to x_1=-4;\ y_1=1[/tex]
Substitute:
[tex]y-1=-\dfrac{1}{4}(x-(-4))\\\\y-1=-\dfrac{1}{4}(x+4)[/tex]
=============================================
[tex]y-1=-\dfrac{1}{4}(x+4)\qquad|\text{use the distributive property}\\\\y-1=-\dfrac{1}{4}x-1\qquad|\text{add 1 to both sides}\\\\y=-\dfrac{1}{4}x[/tex]
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
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.
what is rebooting computer?
please help :( A large rectangle has a length of 30 inches and a width of 27 inches. A smaller rectangle has a length of 10 inches and a width of question mark inches. The diagram represents the process of enlarging a rectangle using a scale factor of 3. The width of the original rectangle must be: 9 in. 11 in. 12 in. 17 in.
Answer:
9in
Step-by-step explanation:
I´m telling you I just got it Right
Answer:
It’s A
Step-by-step explanation:
GOT IT RIGHT
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: $4444.44
SOMEONE PLS HELP ASAP
Answer: h(3) = 1
Step-by-step explanation: If x = 3, draw a straight horizontal line at it. It crosses 1 at y, so h(3) = 1.
Jhone worked at the Dollar store and someone had a toy that was 3.50$ and the man gave Johne 5.00$ So how much do jhone have to give him back
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
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).
What is the range of the following relation
(9,-2) (4,3) (8,10) (-4,8)
A- 2,3,8,10
B-(9, -2) (4,3)
C - -4,4,8,9
D- (8,10) (-4, 8)
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)
I NEED HELP. I MAY MARK BRAINLEIST
How do you multiply mixed fractions?
Thanks :)
9 ≤ 2(3a − 3) ≤ 24
what is the answer plzzzzzzz
Answer:
a = 3a = 4a = 5There are three solutions. I hope this helps!
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!
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:
What is the slope of this problem.
Answer:
Slope of the line= -1
Step-by-step explanation:
The given line is of equation y= -x
Slope of any line= y/x
= -x/x= -1
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
1/4x20 in fraction for prodigy math game
Answer:
5
Step-by-step explanation:
Which is bigger -2.5 or -3/1
Answer:
-2.5
Step-by-step explanation:
-2.5 is greater.
What is the the independent quantity and the dependent quantity.
If Sam buys the pair of shoes for $64, he will have to pay a sales tax of $5. 28
Hey there!
Total = Price+ Sale s tax
=> $64 + $5. 28
=> $69.28
Therefore, Total cost is $69.28
The independent quantity would be the cost of the shoes ($64) and the dependent quantity would be the amount of sales tax ($5.28).
What is the independent and dependent variable?In mathematics, independent and dependent variables are values that vary in relation to one another. The dependent variable is dependent on the independent variable, which means that if the value of the independent variable changes, so will the dependent variable.
In this scenario, the independent quantity would be the cost of the shoes ($64) and the dependent quantity would be the amount of sales tax ($5.28).
The cost of the shoes is the independent variable because it is the value that is being used to calculate the amount of sales tax, which is the dependent variable.
The amount of sales tax depends on the cost of the shoes, hence the name "dependent variable."
To learn more about the independent and dependent variables click here:
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Find the value (6° -2°) x (6° +2°)
Answer:
0
Step-by-step explanation:
using the identity
[tex]a^{0}[/tex] = 1 , then
([tex]6^{0}[/tex] - [tex]2^{0}[/tex] ) × ([tex]6^{0}[/tex] + [tex]2^{0}[/tex] )
= (1 - 1) × (1 + 1)
= 0 × 2
= 0
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.
shylas resreach shows that 8 empty cans can make 1/4
8 cans equal 2 and not 1/4
Solution set for -8y<72
Answer:
y < -9
Step-by-step explanation:
-8y < 72
~Divide -8 to both sides
y < -9
Best of Luck!
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
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
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
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.
Learn more about the arithmetic operation here:
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