Answer:
y=1/4x
Step-by-step explanation: in image below
The perimeter of a triangle is 43 inches. The second side is 4 times as long as the first side. The third side is 1 inch longer than the first side. What is the length of each side
Answer:
First side=7
Second side =28
Third side =8
explanation:
Perimeter of a triangle is the sum of the length of the sides of the triangle. Given that the perimeter of the triangle = 43 inches
Second side is 4 times the first side
Third side is 1 inch longer the first
Let's call the first side x
Then equation for the perimeter of the triangle is given by
x+4x+x+1=43
We solve for x
6x+1=43
6x=43-1
6x=42
x=42/6
x=7
Therefore the first side x=7, the second side is 4x= 4*7=28, third side= 1+x= 1+7=8
Write the point-slope form of the equation of the line through the point (3,-5) with a slope of -4/3.
Answer:
Step-by-step explanation:
y + 5 = -4/3(x - 3)
y + 5 = -4/3x + 1
y = -4/3x - 4
-4 (-3 + 5 + (-2)) show all steps
Answer:
0
Step-by-step explanation:
-4(-3 + 5 + (-2))
-4(-3 + 5 -2)
-4 • 0
0
Answer:
= 0
Step-by-step explanation:
-4(-3 + 5 +(-2 ))
get rid of the "( )"
-4 (- 3 + 5 - 2)
calculate the sum
-4 x 0
anything times 0 = 0 so the answer is;
0
5. Guests are given a random goodie bag at a party. There are less than 15 bags, but more than 8. Part A: How many bags were prepared? Explain your answer. * Goodie bag contents ½ of the bags contain money ⅙ of the bags contain candy ⅓ of the bags contain a toy
Answer:
12 bagsStep-by-step explanation:
Number of the bags = between 8 and 15 and
1/2 of bags contain money 1/6 of bags contain candy 1/3 of bags contain a toyAs per above the number is divisible by 2, 3 and 6. LCM of the three numbers is 6.
The number between 8 and 15 and divisible by 6:
This number is 6*2 = 12So the number of bags is 12
The expression -7y is a
Term
Constant
Variable
Answer:
in -7y y is variable and -7 is Constant
Step-by-step explanation:
Constant: A number that cannot change its value. In the expression 2x+4y−9 , the term 9 is a constant. Like Terms: Terms that contain the same variables such as 2m , 6m or 3xy and 7xy
variable is a symbol which functions as a placeholder for varying expression or quantities, and is often used to represent an arbitrary element of a set.
A quadratic equation that has X-intercepts of (-2,0) and (8,0), a stretch of 3, and the vertex is a minimum.
a. Factored form equation:
b. Vertex form equation:
c. Standard form equation:
Answer:
a. y = 3 × (x + 2)(x - 8)
b. y = 3·(x - 3)² - 75
c) y = 3·x² - 18·x - 48
Step-by-step explanation:
The x-intercept of the quadratic equation are (-2, 0), (8, 0)
The stretch of the quadratic equation = 3
We have;
a. The factored form y = 3 × (x + 2)(x - 8)
b. From the vertex form, we have;
y = 3 × (x + 2)(x - 8) = 3·x² - 18·x - 48
y = 3·x² - 18·x - 48
The vertex form a(x - h)² + k
Where;
h = -b/(2·a) = 18/6 = 3
h = 3
k = c - b²/(4·a) = -48 - (18²)/12 = -75
The vertex form 3·(x - 3)² - 75
c) The standard form of the quadratic equation, y = a·x² + b·x + c
The standard form of the quadratic equation is y = 3·x² - 18·x - 48.
help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Straight lines.
Since there are more than one lines that can land plane safely, we take one of it,
When, X = 10 and Y = 7, so the equation we get as,
y-7 = m(x-10) + c
lets find slope, that is value of m,
y2-y1/x2-x1 = m
so, 9-7/ 7-10 = 2/-3
so, m= -2/3
so the final Equation is,
=> y-7 =(-2/3)(x-10) +c
A circle of radius 8 is inscribed in an isosceles trapezoid. The length of the larger base of the trapezoid is 20. Find the length of the shorter base.
PLEASE ANSWER FAST
Answer:
ayy
Step-by-step explanation:
sup
Answer:
12 4/5
Step-by-step explanation:
you can use just mark x as half of the leg of the trapezoid and then use pythagorean theorem to get x^2+8^2+10^2+8^2=(10+x)^2 and then solve
74ft
24ft
b
What is the length of the missing leg?
Answer: 70
Step-by-step explanation:
a^2 + b^2 = c^2
24^2 + b^2 = 74^2
576 + b^2 = 5,476
-576 -576
b^2 =4,900
(square root)
b =70
Which graph represents a function?
Answer:
The vertical line test can be used to determine whether a graph represents a function. A vertical line includes all points with a particular x value. The y value of a point where a vertical line intersects a graph represents an output for that input x value.
When the equation 16/x = 4 is simplified, the value of x is??
Answer: x=4
Step-by-step explanation:
multiply each side by the denominator to cancel out the fraction so the new equation is 16=4x then divide by 4 to eliminate the x and 16 divided by 4 is 4 which is the anwser.
Solve for u. 7/6=u+4/8 Simply the answer.
Answer:
plz mark brainliest
Step-by-step explanation:
16/3 or 5 1/3
Answer:
[tex]u=\frac{16}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define
[tex]\frac{7}{6} =\frac{u+4}{8}[/tex]
Step 2: Solve for u
Cross-multiply: [tex]7(8)=6(u+4)[/tex]Multiply: [tex]56=6(u+4)[/tex]Distribute 6: [tex]56=6u+24[/tex]Isolate u term: [tex]32=6u[/tex]Isolate u: [tex]\frac{32}{6} =u[/tex]Simplify: [tex]\frac{16}{3} =u[/tex]Rewrite: [tex]u=\frac{16}{3}[/tex]Step 3: Check
Plug in u into the original equation to verify it's a solution.
Substitute in u: [tex]\frac{7}{6} =\frac{\frac{16}{3} +4}{8}[/tex]Add: [tex]\frac{7}{6} =\frac{\frac{28}{3}}{8}[/tex]Divide: [tex]\frac{7}{6} =\frac{7}{6}[/tex]Here we see that 7/6 does indeed equal 7/6.
∴ [tex]u=\frac{16}{3}[/tex] is a solution of the equation.
Match the graph shown with the following equation
Answer a and b please
Answer:
a) D b)B
Step-by-step explanation:
a) the graph is of negative slope as it slants downwards hence slop/gradient is negative. y intercept is positive so only option d is right
b) sub each option point into 3y = 2x - 1 if they equate to be the same, it is correct.
3(2) = 2(6) - 1
6 = 11 (not equal)
3(1) = 2(2) - 1
3 = 3 (equal) this is the answer
of course you can sub in the rest to confirm but I'm lazy so yeah I'll stop here
Topic: Linear Graphs and its equations
If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
Simultaneous equations
y=x+2
y=x^2
Answer:
(- 1, 1 ) and (2, 4 )
Step-by-step explanation:
Given the 2 equations
y = x + 2 → (1)
y = x² → (2)
Substitute y = x² into (1)
x² = x + 2 ( subtract x + 2 from both sides )
x² - x - 2 = 0 ← in standard form
(x - 2)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x + 1 = 0 ⇒ x = - 1
Substitute these values into (1) for corresponding values of y
x = 2 → y = 2 + 2 = 4 ⇒ (2, 4 )
x = - 1 → y = - 1 + 2 = 1 ⇒ (- 1, 1 )
what is the slope of line segment 7 ?
——PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((———
Answer:
The slope is 0 because it is a straight line
Step-by-step explanation:
Answer:
undefined.
Step-by-step explanation:
You could be really formal and use the slope formula
The y values are both the same -- 4.
The x values are 3.5 and 6.5
Therefore the slope is (6.5 - 3.5) / (4 - 4)
The denominator is 0
The slope is undefined because 3/0 is not very well behaved.
A horizontal line always gives an undefined amount.
Is this a function or no?
Answer:
no
Step-by-step explanation:
A. Car B was 20 miles east of car A
B. Car A was 10 miles east of car B
C. Car B was 10 miles east of car A
D. Car A was 30 miles east of car B
Answer:
D
Step-by-step explanation:
Its D because If one was going 60 and then the second one went 150 on the same road. They both had to start off low and the lowest number closer to those to are 30.
I WILL GIVE BRAINLIEST
Given ΔDEF : ΔRST, find x.
12
15
16
64
Answer:
The answer would be 12, I am very sure. :)
Please help me with THIS! :(((
Answer:
<C = <F
<B = < E
<A = < D
AB = DE
CA = FD
BC = EF
The triangles are basically the same, they are in corresponding order.
Hope I helped! Brainliest Appreciated!
Help please!! 15 points!!
Which set of numbers form a right triangle?
Choose all that apply
A) 4, 5, 6
B) 5, 12, 13
C) 8, 15, 17
D) 10, 15, 20
Answer:
A and D
Step-by-step explanation:
One side-base right triangle and one angle-based right triangle.
1. Anne wants to join five pieces of paper together. She plans to use 3 rectangular pieces of the same size and 2 square pieces of the same size. The length of each rectangular piece is 3 1/2 feet. The width of each rectangular piece, w, is the same as the length of each square piece. The expression below can be used to find the total surface area of the five pieces of paper. Anne decides that the width, w, of the rectangular pieces should be 2 feet. What is the total surface area, in square feet, of all five pieces of paper?
Answer and explanation:
Surface area of a rectangle = length * width
Surface area of a square = a² where a is length of a side
To find total surface area of the the five pieces of paper, we add up all the areas of all the shapes
Given that length of rectangle =3.5
And width = 2
Area of rectangle =3.5*2=7
Area of 3 rectangles given they are all equal = 7*3=21
Since width of rectangle equal to width of square and all sides of square are equal
Area of square = 2 *2 =4
Area of the two squares =4*2=8
Total surface area of the five plane shapes = 21+8= 29
If a cyclist rides at a constant rate of 24 miles per hour, how long would it take the cyclist to ride 120 miles?
Answer:
it is 4.25
Step-by-step explanation:
divide 120 by 24 and you will get 4.25
Modeling With Systems of Equations Quick Check
1 of 5Items
Assessment started: Modeling With Systems of Equations Quick Check.
Item 1
Two of the top-grossing concert tours were by a jazz band and a rock band. Together the two tours visited 177 cities. The jazz band visited 91 cities more than the rock band. Taking into account the constraint that the rock band must visit no less than 50 cities, find how many cities each group visited and determine whether the solution is viable or nonviable.(1 point)
The jazz band visited 134 cities and the rock band visited 43 cities. The solution is nonviable.
The jazz band visited 124 cities and the rock band visited 53 cities. The solution is viable.
The jazz band visited 124 cities and the rock band visited 53 cities. The solution is nonviable.
The jazz band visited 134 cities and the rock band visited 43 cities. The solution is viable.
Answer:
The jazz band visited 124 cities and the rock band visited 53 cities. The solution is viable.
Step-by-step explanation:
Answer:
The jazz band visited 124 cities and the rock band visited 53 cities. The solution is nonviable.
Step-by-step explanation:
Solve the system of equations by the elimination method: \large 9x+y=-8 and \large 4x+y=2. Then fill in the solution as an ordered pair:
Answer:
rrrrrrrrrrrrrrrrrrrrrwwwwwwwwwwwwwwwwww44444444444444wwwwwwwwwwwwww
Step-by-step explanation:
you are easydsssssdfewatg3
x - y = 11 and 2x + y = 19 by elimination
Answer:
(14,3)
Step-by-step explanation:
2x + y = 19
x - y = 11
-2(x - y) = -2(11)
-2x + 2y = -22
-2x + 2y = -22 + 2x + y = 19
3y = -3
y = 3
-------------------------------------------------
x - y = 11
x - 3 = 11
x = 11 + 3
x = 14
Help please !! I need help because I have a certain amount of time so if you could help that would be great thank you!
Answer:
The one that you selected is correct. The second one.
Step-by-step explanation:
Please help ive been trying at this stupid question for 45 minutes now.
Answer:
25
Step-by-step explanation:
if f(x)=x2+3x+5 what is f(3+h)
Help I’m dumb and it’s due soon.
Answer:
Options A, C and D are correct ones.
Step-by-step explanation:
Options A, C and D are correct.
do yall know this one?
Answer:
8x
Step-by-step explanation:
it's the slope
y = 8x or y = 8/1x
Do not place /1.
The system understands that there is a invisible 1 that's how all whole number can turn into equations.