In the figure below, what is the measure of AB?
Answer:
The measure of AB is 29
Step-by-step explanation:
If a line is drawn from a vertex of a triangle perpendicular to the opposite side to this vertex and bisects it, then the sides joining this vertex are equal in lengths
In Δ ABD
∵ Line AC ⊥ side BD
∵ BC = BD = 15
∴ C is the mid-point of The side BD
∴ Line AC is a perpendicular bisector of side BD
→ By using the rule above
∴ AB = AD
∵ AB = 5x - 11
∵ AD = 3x + 5
→ Equate them
∴ 5x - 11 = 3x + 5
→ Add 11 to both sides
∵ 5x - 11 + 11 = 3x + 5 + 11
∴ 5x = 3x + 16
→ Subtract 3x from both sides
∵ 5x - 3x = 3x - 3x + 16
∴ 2x = 16
→ Divide both sides by 2
∴ x = 8
→ Substitute the value x in the expression of side AB
∵ AB = 5(8) - 11
∴ AB = 40 - 11
∴ AB = 29
∴ The measure of AB is 29
5(88) using distributive property and mental math
Someone help me out please
Answer:
0.5-1
Step-by-step explanation:
Find the value of x so that the function has the given value. q(x)= 0.5x -3; q(x)= -4
By algebra properties, the x-value such that expression 0.5 · x - 3 = - 4.
How to clear an equation with a single variable
In this problem we must determine the value of x such that the following expression is satisfied:
0.5 · x - 3 = - 4
This can be solved by means of algebra properties. First, write the entire expression:
0.5 · x - 3 = - 4
Second, clear the variable x by algebra properties:
0.5 · x = 3 - 4
0.5 · x = - 1
x = - 2
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simplest radical form:
4.582575695
hahahahahahahahahahahahahahahaha
what is the excluded value of x for
Answer:
value of x is for values that are excludedor or left out
Write a line function with a slope of 5 that passes through the point of (2,1)
Answer: 5x - 9
Hope this helps :)
Answer:the other one is wrong
Step-by-step explanation:5x - 9is wrong
Find all the Missing Angles
Answer:
need more information
Write an equation in point slope form for each line.
(1,6) and (2,3)
Question
How do you write the equation of a line in point slope form and slope intercept form given point (6, -3) and has a slope of 1/2?
Answer · 0 votes
Point-Slope Form is y+3=12(x−6) Slope-Intercept Form is y=12x−6 Explanation: .
using y=mx+b find the slope for
x + 2y = -8
Answer:
y=1/2x-4
Step-by-step explanation:
Due at midnight!!! Help
What’s the slope of this equation
Answer:
it is 4
Step-by-step explanation:
the slope is always the number in front of the X
URGENT. SHOW ALL SOLUTIONS. WILL MARK BRAINLIEST!!! An octagonal based pyramid has base side lengths of 20 cm and slant height of 80 cm. What is the surface area?
9514 1404 393
Answer:
800(9 +√2) cm² ≈ 8331.4 cm²
Step-by-step explanation:
The surface area of the pyramid is the sum of the areas of the base and triangular faces.
The base area is given by ...
A = 2(1 +√2)s² . . . . . where s is the length of one side
A = 2(1 +√2)(20 cm)² = 800(1 +√2) cm²
The lateral area is given by ...
A = (1/2)Ph . . . . . where P is the perimeter of the base and h is the slant height
A = (1/2)(8)(20 cm)(80 cm) = 6400 cm²
Then the total surface area of the pyramid is ...
SA = (800(1 +√2) +6400) cm² = 800(9 +√2) cm² ≈ 8331.4 cm²
15 less than the quotient of a number and 6 is 30
Maya and Edward cut lawns in the summer to earn spending money. Maya has a newer lawnmower, so Edward takes 15 minutes longer to cut a lawn than Maya. Working together they can both cut a lawn in 18 minutes. How long would it take Edward to cut a lawn alone?
Answer:
The answer would be 45 minutes.
Step-by-step explanation:
Just skipped to the answer on Edementum.
A fraction is a way to describe a part of a whole. The time it takes Edward to cut the lawn alone is 45 minutes.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Let the time taken by Maya to lawn the garden be x.
The rate at which Maya lawn = 1/x
Maya has a newer lawnmower, so Edward takes 15 minutes longer to cut a lawn than Maya. Therefore,
The rate at which Edward lawn = 1/(x+15)
Working together they can both cut a lawn in 18 minutes.
The rate at which they both work = 1/18
Now, the rate of working can be compared as,
1/x + 1/(x+15) = 1/18
(x+ x + 5)/x(x+15) = 1/18
(2x + 15)18 = x(x+15)
36x + 270=x² + 15x
x²-21x-270=0
x = 30, -9
Since time can not be negative. Therefore, the time it takes Edward to cut the lawn alone is,
x + 15
= 30 + 15
= 45 minutes
Hence, the time it takes Edward to cut the lawn alone is 45 minutes.
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solve the literal equation for f: - 3f = g for f
A.f=g/-3
B.g+3=f
C.f=g-3
Answer:
i think its a
Step-by-step explanation:
PLZ HELP ME ASAP!!!!
Answer:
I cant see the picture
Step-by-step explanation:
I cant see the picture
-3x+8y=12 what is the slope
Answer:
The slope (or m) would be 3/8. Hope this helps!
slope: M=3/8
Step-by-step explanation:-3x+8y=12
Use y=mx+b3/8x+3/2
M=3/8
Hope this helped
The graphs below have the same shape what is the equation of the blue graph
Answer: g(x) = (x-2)^2 + 1. Choice C
===========================================================
Explanation:
The graphs have the same shape, which means they have the same 'a' value.
In this case, a = 1.
The vertex of the red graph is (0,0).
The vertex of the blue parabola is (2, 1)
The red curve has been shifted 2 units to the right and 1 unit up.
Since the vertex of the blue graph is (2,1), this means h = 2 and k = 1.
Plug a = 1, h = 2 and k = 1 to get...
y = a(x-h)^2 + k
y = 1(x-2)^2 + 1
g(x) = (x-2)^2 + 1
Answer:
C.
Step-by-step explanation:
Since the blue graph shifted up by 1 unit, it would be +1 at the end of the quadratic function. Then, because the graph also shifted to the right 2 units, the blue graph subtracts from f(x)=x^2 (it does the opposite).
The amount of concrete, c, needed to make a walkway around a circular swimming pool varies directly as the square of the diameter, d, of the
pool. Which statement is true?
OA If the diameter of the pool is doubled, the amount of concrete needed is multiplied by 2.
•B. If the diameter of the pool is doubled, the amount of concrete needed is multiplied by 4.
OC. If the diameter of the pool is halved, the amount of concrete needed is multiplied by 2.
OD. If the diameter of the pool is halved, the amount of concrete needed is multiplied by 4.
Answer:
Step-by-step explanation:
For all Plato users
The amount of concrete needed after doubling the diameter of the circle will be multiplied by 4 by the initial amount. Hence, the correct option is (B).
What are direct proportions?Direct proportions are the proportions where a variable changes with another variable by direct mean so the coefficient of constant will be direct.
For example y ∝ x² here y varies with respect to x square.
y = Kx² where k will be the coefficient of constant.
Given that amount is Amount ∝ d²
Amount = k d²
By doubling the diameter
Amount = k (2d)²
Amount = 4 kd²
Amount = 4 × initial amount hence, the amount will be multiplied by 4.
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Dwayne ordered a set of purple and green pins. He received 35 pins in all. 28 of the pins were purple. What percentage of the pins were purple?
Answer:
28/35 = 4/5
Step-by-step explanation:
28 divided by 7 = 4
35 divided by 7 = 5
The intensity,I, of light received at a source varies inversely as the square of the distance, d, from the source. If the light intensity is 33 foot-candles at 20 feet, find the light intensity at 5fee
Answer:
The light intensity is 528 foot-candles at 5 feet
Step-by-step explanation:
If x and y are in inverse variation, then x y = k, where k is the constant of variation
In the given question
∵ The intensity I, of light received at a source, varies inversely as the
square of the distance d, from the source
→ That means I × d² = k, where k is the constant of variation
∴ I × d² = k
∵ I = 33 foot-candle at d = 20 feet
→ Substitute them in the rule above to find k
∴ 33 × (20)² = k
∴ 33 × 400 = k
∴ 13200 = k
→ Substitute the value of k in the equation
∴ I × d² = 13200 ⇒ equation of variation
∵ d = 5
→ Substitute it in the equation to find I
∵ I × (5)² = 13200
∴ I × 25 = 13200
→ Divide both sides by 15
∴ I = 528
∴ The light intensity is 528 at 5 feet
Write equation line that passes through (2,2) and is parallel to line y=3x+9
An equation of parallel line is y=___
Answer:
Step-by-step explanation:
The slope is in the given line. It is the number in front of the x which is 3.
So far what you have is
y = 3x + b
Now use the point to find b
x = 2
y = 2
Substitute
y = 3*2 + b
2 = 6 + b
2 - 6 = b
b = - 4
y = 3x - 4
zero of functions equations
Answer:
what?
Step-by-step explanation:
The table below shows four systems of equations:
System 1 System 2 System 3 System 4
4x − 5y = 2
3x − y = 8 4x − 5y = 2
10x − 7y = 18 4x − 5y = 2
3x − 8y = 4 4x − 5y = 2
10x + 3y = 15
Which pair of systems will have the same solution? (5 points)
Solve the system.
x + y - 3z = -20
-3y + 2z = 5
z = 4
Enter your answer as an ordered triple.
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Step-by-step explanation:
Subtract 2z2z from both sides of the equation.
x−2y+z=1x-2y+z=1
y=5−2zy=5-2z
x+y+3z=8x+y+3z=8
Replace all occurrences of yy with 5−2z5-2z in each equation.
x−2(5−2z)+z=1x-2(5-2z)+z=1
y=5−2zy=5-2z
x+5−2z+3z=8x+5-2z+3z=8
Simplify each equation.
x−10+5z=1x-10+5z=1
y=5−2zy=5-2z
x+5+z=8x+5+z=8
Move all terms not containing xx to the right side of the equation.
x=11−5zx=11-5z
y=5−2zy=5-2z
x+5+z=8x+5+z=8
Replace all occurrences of xx in x+5+z=8x+5+z=8 with 11−5z11-5z.
x=11−5zx=11-5z
y=5−2zy=5-2z
(11−5z)+5+z=8(11-5z)+5+z=8
Simplify (11−5z)+5+z(11-5z)+5+z.
x=11−5zx=11-5z
y=5−2zy=5-2z
−4z+16
Answer: (-9, 1, 4)
Step-by-step explanation:
its right on acellus
hhellp pwease I want to know what's wrong and right
Answer:
A: False
B: False
C: True
D: True
E: False
F: True
G: True
H: True
Step-by-step explanation:
A: 9(x - 2) = 9x + 2
9x - 18 = 9x + 2 FALSE
B: 65 - y = y - 65
(equation rearranged) -y + 65 = y - 65 FALSE
C: g (times) h = h (times) g (TRUE due to the commutative property of multiplication)
D: a (times) 0 = 0 (TRUE because anything times 0 equals 0)
E: (4 (times) 2) - r = 4 (2 (times) r)
8 - r = 8 - 4r FALSE
F: k + 0 = k TRUE
G: (a + x) + y = a + (x + y)
a + x + y = a + x + y TRUE
H: 5(2x - 9) = 10x - 45
10x - 45 = 10x - 45 TRUE
30 POINT QUESTION !! Will make the brainliest
A kitchen sink holds 24 gallons of water. A full sink drains at 3 gallons per minute. Which of the following tables best represents the situation?
(The pictures are as follows!)
Answer:b
we start with 24 but as we get to the first minute we have already lost 3 gallons and so on.
Please can someone explain place value to me. I failed in my test dunno how tho cause I studied place value in year 3 lol
Answer:
Place value is the value of each digit in a number. For example, the 5 in 350 represents 5 tens, or 50; however, the 5 in 5,006 represents 5 thousands, or 5,000. It is important that children understand that whilst a digit can be the same, its value depends on where it is in the number.
Step-by-step explanation:
does this help?