Answer:
1. 14+3-5(-2)= 17+10=27
2. 14-17= -3
3. 4-1=3
4. 4+23=27
5. 50
Drag statements and reasons to each row to show why the slope of the line between P and Q is the same as the slope between Q and R, given that triangles A and B are similar.
hi i know i’m late but to help out any future people, the answer is
Row One: Statement: 3/2=slope Reason: Definition of Slope
Row 2: Statement: 3/2=6/4 Reason: Triangle A is similar to Triangle B
Answer:
Step-by-step explanation:
Zellie is taking the stairs in her building from her floor to the top of the building. After 2 minutes, she was 100 steps from the bottom floor. After 5 minutes she was 196 steps from the bottom floor.
Answer:
The question seems to be incomplete, so i will think that this is a linear equation, where we can find the velocity at which she moves, and also her initial position.
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
In this case we have two points:
"After 2 minutes, she was 100 steps from the bottom floor."
this can be represented with the point: (2min, 100 steps)
" After 5 minutes she was 196 steps from the bottom floor"
This can be represented with the point (5min, 196 steps)
With this, we can find the slope of this equation:
a = (196 steps - 100 steps)/(5min - 2min) = 96steps/3min = 32 steps/min
This means that she does 32 steps in one minute.
Then we can write her positon equation as:
y = (32steps/min)*x + b
where x represents the time, and b is her initial position.
If we replace x by 2 min, and y for 100 steps, we get:
100steps = (32steps/min)*2min + b
100 steps = 64 steps + b
100 steps - 64 steps = b = 36 steps.
This means that she started to take the stairs 36 steps from the bottom floor.
On comparing the ratios of the coefficients, find out whether the pair of equations x – 2y =0 and 3x + 4y -20 =0 is consistent or inconsistent.
Answer:
The pair of equations is consistent
Step-by-step explanation:
A consistent system of equations has at least one solution
The consistent independent system has exactly 1 solutionThe consistent dependent system has infinitely many solutionsAn inconsistent system has no solution
In the system of equations ax + by = c and dx + ey = f, if
a = d, b = e, and c = f, then the system is consistent dependent and has infinitely many solutionsa = d, b = e, and c ≠ f, then the system is inconsistent and has no solutiona ≠ d, and/or b ≠ e, and/or c ≠ f, and [tex]\frac{a}{d}[/tex] ≠ [tex]\frac{b}{e}[/tex] , then the system is consistent independent and has exactly one solution∵ x - 2y = 0
∴ The coefficient of x ⇒ a = 1
∴ The coefficient of y ⇒ b = -2
∴ The numerical term ⇒ c = 0
∵ 3x + 4y - 20 = 0
→ Add 20 to both sides
∴ 3x + 4y - 20 + 20 = 0 + 20
∴ 3x + 4y = 20
∵ The coefficient of x ⇒ d = 3
∵ The coefficient of y ⇒ e = 4
∵ The numerical term ⇒ f = 20
∵ a ≠ d
∵ b ≠ e
∵ c ≠ f
∵ [tex]\frac{a}{d}[/tex] = [tex]\frac{1}{3}[/tex]
∵ [tex]\frac{b}{e}[/tex] = [tex]\frac{-2}{4}[/tex] = [tex]\frac{-1}{2}[/tex]
∴ [tex]\frac{a}{d}[/tex] ≠ [tex]\frac{b}{e}[/tex]
→ By using rule 3 above
∴ The pair of equations is consistent
Someone Please help meee?
Answer:
ghk and lkh are alternate
you are looking for a z shape if that helps xx
Complete the following triangle congruence statement:
△FDE≅△
Please help, need help
Answer:
Step-by-step explanation:
ΔXYZ
m∠X = 52°, m∠Y = 106°, m∠Z = 180° - (106° + 52°) = 22°
[tex]\frac{13.2}{6.6}[/tex] = [tex]\frac{17.4}{8.7}[/tex] = 0.5
Is this statement true or false?
p = 2 is a solution to p – 5 <20
O true
O false
Answer:
true
Step-by-step explanation:
Answer:
it is the solution
Step-by-step explanation:
because p is 2
2-5<20
-3<20 which is true
If you can buy five Nike shirts for $20, then how many can you buy with $32?
Answer:
8 nike shirts
Step-by-step explanation:
1 nike shirt is $4
Simplify the expression 2(w+7)+6(3w−1).please help
Answer:
20w+8
Step-by-step explanation:
hope it helps..................
Answer:
20w+8
i hope this helps u :)
4x-6y=-24 2x-3y=-6 graphed
Answer:
Step-by-step explanation:
Simplify the following expression by combining like terms. Then select the
correct answer from below.
2 + 30 – 3+232 +8 - 53
Answer:
216
Step-by-step explanation:
2+30-3+232+8-53
32-3+232+8-53
29+232+8-53
261+8-53
269-53
216
A car dealership pays a wholesale price of $12,000 to purchase a vehicle.
During a special sales event, the dealership offers a 10% discount off of the retail price. After the discount, how much will a customer pay for this vehicle? Show your work.
Answer:
$10800
Step-by-step explanation:
$12000 is the original price so let's set that as 100%. Since there's a 10% discount, you have to find out the 90% soo.
100% - $12000
90% - $12000 x 90/100 = $10800
Which equation represents a linear function with a slope of 12 and a y-intercept of -15? A. Y=−15x+12 B. Y=−x2+15 C. Y=x2−15 D. Y=2x−15
Answer:
y = 12x-15
Step-by-step explanation:
The equation of a line is given by :
[tex]y=mx+c[/tex]
Where
m is slope and c is y-intecept.
Here, the slope is 12 and y-intercept is -15.
Then the equation is :
y = 12x+(-15)
or
y = 12x-15
Hence, the required equation for the line is "y=12x-15".
Write the following using index notation:
a)2 x 2 x 2
b)x3 x 3 x 3 x 3
c)4 x 4 x 4 x 5 x 5
d)9 x 7 x 9 x 9 x 7 x 9
Answer:
A) 2^3
B)3^4
C)4^3*5^2
D)9^4*7^2
Step-by-step explanation:
One report said that it rained 3 inches in two days. It actually rained 1.05 inches and 1.8 inches. How far off was the report? Explain your answer.
Answer:
Step-by-step explanation:
1.80 + 1.05 = 2.85
3.00 - 2.85 = .15 inches
You bought 50 shares of stock at $55 per share and sold them for $61 per share. The sale involves a broker’s commission of $0.30 per share. What is your profit?
a) $215
b) $285
c) $315
d) $385
Answer:
The profit made is;
b) $285)
Step-by-step explanation:
The given parameters are;
The number of shares bought, n = 50
The price each share is bought, CP = $55
The amount at which each share is sold, SP = $61
The amount the broker received per share, E = $0.30
Therefore, the amount of profit, 'P', is given as follows;
P = n × (SP - CP - E)
By substituting the values for the variables, we have;
P = 50 × (61 - 55 - 0.3) = 285
The amount made as profit, P = $285.00.
given the equation f(x) = -2x^2 + 4x + 6, find the average rate of change from x = 1 and x = 2
Answer:
-2
Step-by-step explanation:
Average rate of change is another term for average slope, and is found with the equation
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{2} }[/tex]
The first point is (1, 8). The second point is (2,6).
[tex]m=\frac{8-6}{1-2} \\m=-2[/tex]
plss find this one HCF
a³,a²,a
Step-by-step explanation:
a³,a²,a
first expression
=a×a×a
second expression
=a×a
third expression
=a
HCF=a^4
What's the answer please
Answer:
6
Step-by-step explanation:
Jamon can type 300 words in 8 minutes. At this rate, how many words can he type in 20 minutes?
are 5(8y - 8) and 40y - 40 equal?
Answer:
yes
Step-by-step explanation:
5(8y-8) = 5*8y - 5*8 by distributive property. simplify that, you get 40y-40, which is equal to 40y-40.
I hope this helped, please give brainliest if this is correct! Thank you!
Find the total amount given the original price and tax or tip rate. Round to the nearest hundredth if necessary.
Original price: $156.67
Tax or tip rate: 6%
Answer:
Step-by-step explanation:
if we tip/tax 6% of 156.67 we will do:
156.67*(6/100)=9.40 this is the amount of tip
156.67+9.40=166.07
A runner is 6/8 mile from the finish line. If she can travel 3/8 mile per minute, how long will it take her to finish the race? Answer in a complete sentence.
Answer:
it will take her 40 seconds to finish the race.
3/8 per minute, would make it 1/8 every 20 seconds. since she only has 2/8 of a mile left to go, 20 seconds +20 seconds = 40 seconds
(if you needed how long it takes her to run the whole race, it's 2 minutes 40 seconds, which would make her the fastest mile runner in the world)
Step-by-step explanation:
I hope this helps :)
PLESASE HELP ME PLEASE AND THANK YOU
Answer:
B
Step-by-step explanation:
1*3=3
2*3=6
3*3=9
etc.
Based on the given information, determine which two statements are true and which is a lie. Explain what is incorrect about the “lie.”
Answer:
The first statement is a lie, second and third statement is true.
Step-by-step explanation:
Consider the provided information.
For two similar triangles, if the scale factor is a : b, then the ratio of their perimeters will be a : b.
For two similar triangles, if the scale factor of a : b, then the ratio of their areas will be [tex]a^2 : b^2[/tex].
For two similar triangles, if the scale factor is a : b, then the ratio of their altitudes will be a : b.
It is given that the ratio of perimeters is 6:1 which is incorrect as the ratio should be 3:1.
It is given that the ratio of areas is 9:1 which is correct because [tex]3^2 : 1^2=9:1[/tex].
It is given that the ratio of the altitude is 3:1 which is correct.
Hence, the first statement is a lie, second and third statement is true.
convert the following equation into slope intercept form
3y - 2x = 9
Answer:
the slope intercept form 3y-2x=9 is y=2/3x+3
The amount of money spent on a pizza for club activities varies directly with the number of pizzas bought. If $135 will pay for fifteen pizzas, then how many pizzas can be bought with $252?
Answer:
28 pizzas can be bought
Step-by-step explanation:
you have to find the unit rate of the pizzas.
so 135 divided by 15 which is 9
and then you divide 252 by 9
It is found that 28 pizzas can be bought with 252 dollar.
What is unit rate?There is an independent quantity, and a quantity that depends on it (dependent quantity). When independent quantity moves by a unit measurement (single unit increment), the increment in dependent quantity is called the rate of increment of dependent quantity per unit increment in independent quantity.
We have been given amount of money spent on a pizza for club activities varies directly with the number of pizzas bought.
We need to find the unit rate of the pizzas
Unit rate = Total amount/ Number of pizzas
Unit rate = 35/15
Unit rate = 9
Also,Unit rate = 259/13
Unit rate = 28
Therefore, 28 pizzas can be bought.
To learn more about the unitary method, please visit the link given below;
brainly.com/question/23423168
#SPJ2
Consider the parametric equations x = 4cos(t) – 3 and y = 5sin(t) + 2. What is the rectangular form?
Answer: C on edge
Step-by-step explanation:
The rectangular form of the parametric equations x = 4cos(t) – 3 and y = 5sin(t) + 2 is shown in the option third, option third is correct.
What are parametric equations?A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.
The missing options are in the attached picture please refer to the picture.
We have two parametric equations:
x = 4cos(t) – 3 and
y = 5sin(t) + 2
From the options plug x and y values in the equation:
[tex]\rm \dfrac{(x+3)^2}{16}+\dfrac{(y-2)^2}{25}=1\\[/tex]
[tex]\rm \dfrac{(4cos(t)-3+3)^2}{16}+\dfrac{(5sin(t)+2-2)^2}{25}=1\\[/tex]
[tex]\rm \dfrac{(4cos(t))^2}{16}+\dfrac{(5sin(t))^2}{25}=1\\[/tex]
cos²t + sin²t = 1 (true)
Thus, the rectangular form of the parametric equations x = 4cos(t) – 3 and y = 5sin(t) + 2 is shown in the option third, option third is correct.
Learn more about the parametric function here:
brainly.com/question/10271163
#SPJ5
SIMPLE INTEREST
Interest = $40
Principal = $400
Interest rate = ?
Time = 2 years
Answer:
442
Step-by-step explanation:
A.y=50+0.15x
B.y=50+0.45x
C.y=150+0.45x
D.y=150+0.15x
Answer:
D
Step-by-step explanation:
you get 150 by taking the product of 50 and 3, this eliminates answers 'a' and 'b'
since the question states the cost per mile driven is $1.50 and 'x' represents miles driven, D is the answer