Answer:
Step-by-step explanation:
perp. -8
y + 5 = -8(x - 1)
y + 5 = -8x + 8
y = -8x + 3
triangle A'B'C is created by dilating triangle ABC by a scale factor of 4. what is the length of AB? The length of A'B'
Answer:
The length of AB is 20 units
Step-by-step explanation:
The given parameters from the graph for coordinates A and B are;
The coordinates of the point A = (1, 4)
The coordinates of the point B = (4, 8)
The length of segment AB is given by the equation for finding the distance, d between two points given their coordinates as follows;
[tex]d = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
Where;
(x₁, y₁) = (1, 4)
(x₂, y₂) = (4, 8)
Substituting gives;
[tex]d_{AB} = \sqrt{\left (8-4 \right )^{2}+\left (4-1 \right )^{2}} = \sqrt{25} = 5[/tex]
The length of [tex]\overline {AB}[/tex] = 5
Therefore, given that ΔA'B'C is created by dilating ΔABC by a scale factor of 4, the length of A'B' = 4 × The length of AB
Therefore, the length of [tex]\overline {A'B'}[/tex] = 4 × The length of [tex]\overline {AB}[/tex] = 4 × 5 = 20
The length of [tex]\overline {A'B'}[/tex] = 20 units.
6
a The diagonals of a rectangle intersect at 76°
Find the angle that a diagonal makes with a longer side of the rectangle.
b The diagonals of a rectangle intersect at xº.
Find the angle that a diagonal makes with a longer side of the rectangle.
Explanation: A diagonal of a rectangle cuts the rectangle into 2 right triangles with sides equal to the sides of the rectangle and with a hypotenuse that is the diagonal. All you need to do is use the pythagorean theorem: where a and b are the sides of the rectangle and c is the length of the diagonal.
The angle that a diagonal makes with a longer side of the rectangle is 38°.
The angle that a diagonal makes with a longer side of the rectangle is (x/2)°.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
a)
The diagonals of a rectangle intersect at 76°.
This means,
From the figure Triangle AOB.
AOB + OAB + OBA = 180
(180 - 76) + x + x = 180
2x = 180 - 180 + 76
2x = 76
x = 38
This means,
The angle with the longer side of the rectangle is 38.
b)
Similarly,
The diagonals of a rectangle intersect at xº.
This means,
AOB + OAB + OBA = 180
(180 - x) + y + y = 180
2y = 180 - 180 + x
2y = x
y = x/2
This means,
The angle with the longer side of the rectangle is x/2.
Thus,
The angle with the longer side of the rectangle is 38°.
The angle with the longer side of the rectangle is (x/2)°.
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Anaya is viewing her bank account online. She sees 3 entries for Monday, each for $10.50. Write an expression to represent the total change in Anaya's account on Monday.
Answer: 3 • (-10.50)
Step-by-step explanation:
it told me bc i got it wrong lol
The expression for total change in Anaya's account on Monday is [tex]-10.50\times 3[/tex] or [tex]3\times (-10.50)[/tex].
Important information:
Anaya sees 3 entries for Monday, each for [tex]-\$10.50[/tex].Expression:Value of one entry is [tex]-\$10.50[/tex].
It means, the change in account by one entry is [tex]-\$10.50[/tex].
The value of three entries is the product of the value of one entry and 3.
[tex]-10.50\times 3[/tex]
Therefore, the expression for total change in Anaya's account on Monday is [tex]-10.50\times 3[/tex] or [tex]3\times (-10.50)[/tex].
Find out more about 'Expression' here:
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y = -2x - 1; (2,-1)
Slope intercept form
Answer:
x=1
2
hope it helps
Step-by-step explanation:
–1
x=0.5,x=2
can you please help me
Answer:
y=-3,000x+12,000
Step-by-step explanation
the number of tickets remaining decrease by 3,000 every hour, 12,000 is the number of tickets available at the beginig
In math formulas, A and a, always represent the same number.
Answer: False
Step-by-step explanation:
In math formulas, we want to use different symbols to represent different things.
While in linguistics, A and a represent the same thing, the symbols are different, then we can use them to represent different things.
For example, we can define a square of side length a.
And the area of that square will be equal to the square of its side length, we can represent the area with A, such that:
A = a^2.
Here A and a are different numbers (and also represent different measures, a is in units of length and A is in units of surface).
Then the statement is false.
what is 3/4 of 36 cupcakes
Answer:
27
Step-by-step explanation:
Answer:
27 cupcakes
Step-by-step explanation:
36 divided by 4 is 9, 9 times 3 is 27
Assume Jack works from 2:30 PM to 7:00 PM. Using the function f(x) = 10x + 8, how much would he earn?
Answer:
$53
Step-by-step explanation:
10(4.5) + 8= 53
$53
hope this helped!
The earnings of Jack by the function assuming x as time spent from 2.30 PM will be $53.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
As per the given function,
f(x) = 10x + 8
Time spent working x = 7:00 PM - 2:30 PM
x = 4.50 hour
f(4.30) = 10(4.50) + 8
f(x) = $53
Hence "The earnings of Jack by the function assuming x as time spent from 2.30 PM will be $53".
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If f(x) = - 4x + 3 and g(x) = 3 x2 + 2x - 4, find (f+ g)(x).
Answer:
Step-by-step explanation:
(f+g)(x) = [tex]-4x + 3 + 3x^{2} + 2x - 4\\[/tex]
= [tex]3x^{2} - 2x - 1[/tex]
Which of the following
represents a function?
PLEASE HELP 15 POINTS OR BRAINLIEST JUST ASK PLEASE HELP ME
Answer:
A: represents a function
Explanation:
Every other option, A, has two y for one x.
It can be a function if there is 1x for 1y.
If this was helpful, please mark brainliest. Have a beautiful day!
Choice A is not a function because x = 2 leads to more than one y value (y = 1 and y = 7 at the same time)
Choice B is not a function for similar reasoning. Here we have x = 1 lead to y = 2 and y = 5 simultaneously.
Choice D is also not a function because of the two points (5,2) and (5,4). This tells us we have x = 5 lead to y = 2 and y = 4 at the same time.
A function is only possible if you have any input lead to exactly one output. Choice C shows this. Note how it passes the vertical line test. It is impossible to draw a vertical line through more than two points on the function curve.
ABCD~EFGH similar polygons
Answer:
3
Step-by-step explanation:
if a/3=b/2 what are the following ratios? 3a-3b/a-b
Answer:
[tex]\dfrac{3a-3b}{a-b}=\dfrac{3}{1}[/tex]
Step-by-step explanation:
[tex]\text{Given}\\\\\dfrac{a}{3}=\dfrac{b}{2}\qquad|\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup\cdot\dfrac{a}{3\!\!\!\!\diagup}=3\cdot\dfrac{b}{2}\\\\a=\dfrac{3b}{2}[/tex]
[tex]\text{Substitute to}\ \dfrac{3a-3b}{a-b}:\\\\\dfrac{3\cdot\frac{3b}{2}-3b}{\frac{3b}{2}-b}=\left(\dfrac{9b}{2}-3b\right):\left(\dfrac{3b}{2}-\dfrac{2b}{2}\right)=\left(\dfrac{9b}{2}-\dfrac{6b}{2}\right):\left(\dfrac{3b-2b}{2}\right)\\\\=\left(\dfrac{9b-6b}{2}\right):\dfrac{b}{2}=\dfrac{3b\!\!\!\!\diagup}{2\!\!\!\!\diagup}\cdot\dfrac{2\!\!\!\!\diagup}{b\!\!\!\!\diagup}=\dfrac{3}{1}[/tex]
Other method:
[tex]\dfrac{3a-3b}{a-b}=\dfrac{3(a-b)}{a-b}\qquad|\text{cancel}\ (a-b)\\\\=\dfrac{3}{1}[/tex]
Please help I am stuck! I will give you 30 points and mark brainlest!
Simplify 8 − (14). (1 point)
a
−22
b
−6
c
6
d
22
Answer:
B! Since Its not positive, it is negative, so its -6. Hope this helps!
The image point of A after a translation left 3 units and up 3 units is the point
B(−9,−5). Determine the coordinates of the pre-image point A.
Answer:
(-6, -8)
Step-by-step explanation:
PLS GIVE BRAINLIEST
Tyler paid $16 for 4 raffle tickets. What is the price per ticket?
Answer:
$4
Step-by-step explanation:
Janine's family is designing a new garage. Use A l w to determine the area of the garage if the length l is 24 feet and the width w is 22 feet. Find the area A of the garage in square feet.
Given :
Length of garage, l = 24 feet.
Width of garage, w = 22 feet.
To Find :
Area of garage in square feet.
Solution :
We know, area of a rectangular shape is given by :
Area = l × w
Area = 24 × 22 feet²
Area = 528 feet²
Therefore, area of garage is 528 feet².
Hence, this is the required solution.
Simplify the expression: 2x – 3x (5x – 8) – 4r (x - 2)
Please I need it tomorrow
Joseph received a $20 gift card for downloading music. Each downloaded song costs $1.29. Explain how to write and solve an inequality that can be used to determine the number of songs that he can purchase. Interpret the solution.
Answer:
So he can buy 15 + he will have on his card left 0.65$
Step-by-step explanation:
20 / 1.29 = 15 song's
20 - 19.39 = 0.65
So he can buy 15 + he will have on his card left 0.65$
the person above me is correct.
.Chelsea graphs a proportional relationship. Bradyn graphs a line that passes through the origin. What do you know about the y-intercept of each student’s graph? Explain your answer.
Answer:
If the graph of the line passes through the origin, it means that the graph has no y-intercept
Step-by-step explanation:
Here, we want to interpret the y-intercept of a graph that passes through the origin
If the y-intercept of a graph passes through the origin, it means that the value of the y-intercept is zero
In other words, the graph has no intercept on either the y or x axes
Which letter represents the slope in the linear equation y = mx + b?
а. У
b. m
C. X
d. b
Answer:
m
Step-by-step explanation:
m=slope
b=y intercept
The symbol m is represent the slop of the line. the correct option is b.
Given that:
Equation: y = mx + b
Since the linear equation show by the formula: y = mx + b
Where,
the letter m represents the slope of the line. The slope m determines the rate of change of the dependent variable y with respect to the independent variable x in a straight-line equation. It indicates how steep the line is and whether it rises or falls as the value of x changes.
Hence, m is the slop of the given equation y = mx + c. The correct option is b.
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Find the 61st term of the arithmetic sequence
8, 7, 6, ...
Answer:
The 61st term is -52
Step-by-step explanation:
3
A 30 kg dog speeds up at a rate of 4 m/s2. What is the force of the dog?
Answer:
n
Step-by-step explanation:
Answer:
120N
Step-by-step explanation:
F = ma
F = Force
m = Mass
a = acceleration
F = (30)(4)
F = 120
The measure of one of the acute angles in a right triangle is 54 1/3. What is the measure of the other acute angle?
Help please it’s due in 20 minutes
Given :
The measure of one of the acute angles in a right triangle is 54 1/3° = 163/3°.
To Find :
The measure of the other acute angle.
Solution :
Let, other acute angle is x.
We know, by property of triangle :
Sum of sides = 180°
90° + 163/3° + x = 180°
x = 90° - 163/3°
x = 17/3°
Therefore, other acute angle is 17/3°.
Hence, this is the required solution.
Using the substitution of (y=y) what is y= -3x+5 y= -2x+3 (pls help this is)
Answer:
x = 2 and y = -1
Step-by-step explanation:
y = -3x + 5
y = -2x + 3
-3x + 5 = -2x + 3
Add 2x to both sides;
-x + 5 = 3
Subtract 5 from both sides;
-x = -2
Divide both sides by -1
x = 2
Solve for y;
y = -3x + 5
y = -3(2) + 5
y = -6 + 5
y = -1
Plz helppppppppppppppppppppppppppppppppppppppppp
Answer:
??????????
Step-by-step explanation:
How much does one slice of pumpkin pie cost if there are 8 servings per pie?
Ingredients
• Pumpkin 15oz can ($1.50 for 15oz can)
2 eggs ($2.59 for one dozen)
• 1 tsp pumpkin pie spice ($5.99 for 1.12oz Jar =
approx.6tsp)
• Evaporated Milk 14oz can ($1.25 for 14oz can)
• Pillsbury Pie Crust ($3.79 for two crusts)
Show Your Work Here:
Answer:
$0.76 per serving of pumpkin pie
Step-by-step explanation:
the total cost of the ingredients needed to prepare a pumpkin pie = $1.50 + ($2.59 / 6) + ($5.99 / 6) + $1.25 + ($3.79 / 2) = $6.075
if we cut 8 servings per pie, then the cost per serving = total cost of the pie / number of servings = $6.075 / 8 = $0.759375 ≈ $0.76 per serving of pumpkin pie
We want to find the cost of each slice of a pie given that we know the price of the ingredients that we use to make the whole pie. We will see that the cost of a single slice is $0.75.
First, we must get the cost of the whole pie. We have:
$1.50 for the 15oz can of PumpkinWe know that 12 eggs cost $2.59, then 2 eggs cost: (2/12)*$2.59 = $0.43.We know that 1.12 oz of pie spice costs $5.99, and we use only one teaspoon of this, remember that: 1tsp = 0.167 oz, Then the cost of 1tsp of pie spice is: (0.167 oz)/(1.12 oz)*$5.99 = $0.89.$1.25 for the 14oz can of evaporated milk.One pie crust, we know that two of them cost $3,79, then only one costs: $3.79/2 = $1.90The total cost is then:
C = $1.50 + $0.43 + $0.89 + $1.25 + $1.90 = $5.97
Now we know the total cost of the pie, and it has 8 slices, then each slice costs: $5.97/8 = $0.75
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William has $25 to spend at the grocery store. He used $8 for meat. He
wants to spend the rest of the money on packs of cookies. If each pack
of cookies costs $3.45, how many packs of cookies can he buy?
Answer:
64
Step-by-step explanation: because he can at least steal 64 packs before the cops get him
Answer:
4
or
4.92753623188 **However you cannot just buy a portion of one pack so you round back down to 4 packs.
Step-by-step explanation:
First we have $25, since he spent $8, we can now claim he has $17, Divide 17 into 3.45, He can buy 4 packs.
please help thank you
Answer:
Positive
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Please help me work this out, it's not multiple choice. I'll mark you brainliest.
Answer:
the correct one is c
Step-by-step explanation:
pls mark me as brainliest