Answer:
PQ is 10.
QR is 5.
Hence, PQ=2QR
Step-by-step explanation:
We have the three points P(-1, 3); Q(7, -3); and R(4, 1).
And we want to show that PQ=2QR.
In other words, we want to show that PQ/QR=2.
So, let's find PQ and QR. We will need to use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
To find PQ:
P is (-1, 3) and Q is (7, -3).
So, we will let P(-1, 3) be (x₁, y₁) and Q(7, -3) be (x₂, y₂).
Substitute the values into the distance formula. This yields:
[tex]d=\sqrt{(7-(-1))^2+(-3-3)^2[/tex]
Evaluate:
[tex]d=\sqrt{(8)^2+(-6)^2[/tex]
Evaluate:
[tex]d=\sqrt{64+36}=\sqrt{100}=10[/tex]
So, the distance of PQ is 10.
And to find QR:
Q is (7, -3) and R is (4, 1).
Again, we will let Q(7, -3) be (x₁, y₁) and R(4, 1) be (x₂, y₂).
Substitute appropriately. So:
[tex]d=\sqrt{(4-7)^2+(1-(-3))^2[/tex]
Evaluate:
[tex]d=\sqrt{(-3)^2+(4)^2[/tex]
Evaluate:
[tex]d=\sqrt{9+16}=\sqrt{25}=5[/tex]
So, the distance of QR is 5.
Therefore, it follows that:
[tex]\displaystyle PQ=2QR\Rightarrow \frac{PQ}{QR}=2\Rightarrow\frac{10}{5}\stackrel{\checmark}{=}2[/tex]
And we have shown that PQ=2QR.
RYAN RYAN I NEED YOR HELP HELP HELP HELP HELPPPPPPPPPP OR ANYONE HONESLTY
Answer:
$70
Step-by-step explanation:
Convert the percent. 175% = 1.75.
Multiply 40 * 1.75.
70
How do I do this? Anyone know please help
the two shapes are similar but scaled differently
this ratio is 2:3 (EF:AB)
so to find y we’ll set this up
2/3= y/4.5
and solve for y
4.5(2/3) = y
y = 9/3
y = 3
Help me and you get Brainliest! + 20 pts! Cindy did an experiment. She started out with 700 bacteria cells. She found that the growth rate of the bacteria cells was 4.3%. Create an equation for the situation that would work for any time, x. Type your equation into Desmos to make a graph that represents her experiment. Take a screenshot that includes both the equation and the graph in Desmos. Paste the screenshot to this page or attach it separately to the assignment submission drop box
Answer:
Step-by-step explanation:
Answer:
This is an exponential function of the form
We will use the following
y for the number of bacteria at a given time
x for the time
a for the starting number of bacteria, which is 700
b for the base of the exponent
so lets find b, we need the following:
r, which will be our rate, which is 4.3% or 0.043, so
With this info, let's substitute, and get the equation as the answer:
Put that into desmos, (I attached a screenshot for you)
Step-by-step explanation:
A class conducts a survey about types of movies. 53 girls and 48 boys reported comedy as their favorite. 23 girls and 62 boys reported horror as their favorite. Find the probability of a boy from this school selecting horror as his favorite type of movie.
63 apparently
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Evaluate 12.1v+ 11.7w when v=7 and w+8
Answer:
178.3
Step-by-step explanation:
The Montague family and their neighbors the Capulets attended the school play together. The Montagues bought two adult tickets and three student tickets for $16. The Capulets purchased three adult tickets and two student tickets for $19. How much was each adult and student ticket?
Answer:
The cost for adult tickets be represented by x = $5
The cost for student tickets be y = $2
Step-by-step explanation:
Let the cost for adult tickets be represented by x
the cost for student tickets be y
The Montague family and their neighbors the Capulets attended the school play together. The Montagues bought two adult tickets and three student tickets for $16.
= 2x + 3y = 16... Equation 1
The Capulets purchased three adult tickets and two student tickets for $19.
3x + 2y = 19 ..... Equation 2
How much was each adult and student ticket?
2x + 3y = 16... Equation 1
3x + 2y = 19 ..... Equation 2
We solve using Elimination method
Multiply Equation 1 by 2 and Equation 2 by 3 to eliminate u
4x + 6y = 32..... Equation 3
9x + 6y = 57.... Equation 4
Subtract Equation 4 from 3
-5x = -25
x = 25/5
x = $5
2x + 3y = 16... Equation 1
Since x = $5
2($5) + 3y = 16
10 + 3y = 16
3y = 16 - 10
3y = 6
y = 6/3
y = $2
Therefore:
The cost for adult tickets be represented by x = $5
The cost for student tickets be y = $2
Do I have a rare user? Just asking :)
Answer:
lol yes?
Step-by-step explanation:
Answer:
yes yes yes yes yes yes
need help will mark brainliest
Answer:
a) -6+4k=4
4k=4+6 (transpose)
4k=10
k=5/2
b) 7p-3=-2
7p=1
p=1/7
c) 1/7=p/21
7p=21(cross-multiplication)
p=3
HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.IN
What is the measurement?
Answer:180-124= answer
Step-by-step explanation:I don’t have a caclator srry
Which function is nonlinear?
Answer:
c
Step-by-step explanation:
any equation that has a variable with an exponent (in this case x^4) is not linear
Need help anyone know how to do this
Answer:
ΔABC has: AD=DB
AE = EC
=> DE is the median line of ΔABC
=> DE // BC
=> m∠AED = m∠ECF = 32°
.
Step-by-step explanation:
Answer:
∠ ECF = 32°
Step-by-step explanation:
DE is the midsegment of Δ ABC and is therefore parallel to the third side BC.
Since DE and BC are parallel lines, then
∠ ECF and ∠ AED are congruent ( corresponding angles ) , thus
∠ ECF = ∠ AED = 32°
Can someone help me with the PROGRAM “Tinkercad?”
Answer:
What is the issue?
Do you have an issue logging in?
Are you making something on a plot?
The stadium has 53,000 seats seats sell for $42 in section 8 $36 in section B $30 in section C the number of seats in this in section 8 equals the total number of seats in section BNC supposed to stadium takes in 1,997,400 from each sold out I meant how many seats does each section hold
Answer:
Section A = 26,500 seats
Section B = 14,900 seats
Section C = 11,600 seats
Step-by-step explanation:
Total seats = 53,000
Total revenue = 1,997,400
Section A seat = $42
Section B seat = $36
Section C seat = $30
The number of seats in this in section A equals the total number of seats in section BNC
A = B + C
A + B + C = 53,000 (1)
42A + 36B + 30C = 1,997,400 (2)
Substitute A = B + C into (1)
A + B + C = 53,000
B + C + B + C = 53,000
2B + 2C = 53,000
2(B + C ) = 53,000
B + C = 53,000 / 2
= 26,500
B + C = 26,500 (3)
Substitute B + C = 26,500 into (2)
42A + 36B + 30C = 1,997,400
Recall,
A = B + C
42( 26,500) + 36B + 30C = 1,997,400
1,113,000 + 36B + 30C = 1,997,400
36B + 30C = 1,997,400 - 1,113,000
36B + 30C = 884,400. (4)
Multiply (3) by 30
B + C = 26,500 × 30
30B + 30C = 795,000 (5)
36B + 30C = 884,400 (4)
Subtract (5) from (4) to eliminate C
36B - 30B = 884,400 - 795,000
6B = 89,400
B = 89,400/6
= 14,900
B = 14,900
From (3)
B + C = 26,500
C = 26,500 - B
= 26,500 - 14,900
= 11,600
A = B + C
= 14,900 + 11,600
= 26,500
Section A = 26,500 seats
Section B = 14,900 seats
Section C = 11,600 seats
Type the numerical answer ONLY. (no spaces)
If the interior angle of a triangle are (x+1), (2x-2), (3x-5), find the measure of the largest angle?
Answer:
98
Step-by-step explanation:
Mathematically, when we add all the angles of a triangle, we get 180
Thus;
x + 1 + 2x-2+ 3x-5 = 180
6x-6 = 180
6x = 186
x = 186/6
x = 31
so the measure of the biggest angle is 3x -5
= 3(31) + 5 = 93 + 5 = 98
HELP ME PLEASE WILL GIVE BRANLYIST!!!!!
Answer:
2
Step-by-step explanation:
It's up 20, right 10. 20 divided by 10 is 2. Therefore, the slope is 2
exponential form of 154034
Answer:
1.54034×10^5
Step-by-step explanation:
HELP ASAP PLEASE WILL MARK BRAINIEST
Answer:
its the first one
Step-by-step explanation:
If the bottom of a ship is 15.8 below the surface of the sea, calculate the pressure at the bottom of the ship. The density of the seawater is 1030kg/m3
The deli charges $4.50 for a salad weighing 3 pounds and $6.00 for a salad weighing 4 pounds. What EQUATION can be used to represent the cost of the salad, y, for x pounds of salad?
Answer:
y = 1.5x
Step-by-step explanation:
Charge for 3 pounds of salad is $4.50
Charge per pound is thus 4.5/3 = $1.5
Now, we want to write an equation that can be used to represent the cost of salad y for x pounds of salad
Mathematically, that will be;
y = 1.5x
Is each number a solution of y - 5 > 12
Answer:
Not sure what exactly you're asking here but if you want to solve for Y, you add 5 to both sides. The answer for that is Y > 17.
Step-by-step explanation:
Determine which two values the following number is between.
A.
10.05 and 10.06
B.
10.06 and 10.07
C.
10.04 and 10.05
D.
10.07 and 10.08
Answer: A
Step-by-step explanation:
enter your answer as a decimal like this 4.23
the answer on there is wrong
Answer:
0.267
Step-by-step explanation:
8x - 3(x - 1) = 2x + 6 solve for x and show work
Answer:
x= 1
Step-by-step explanation:
open brackets first
8x - 3x + 3 = 2x + 6
Calculate
5x+3= 2x+6
transpose the like terms
5x-2x= 6-3
calculate
3x= 3
x= 3/3
x= 1
Answer:
x = 3
Step-by-step explanation:
8x - 3(x - 1) = 2x + 6
simplify
8x - 3x + 3 = 2x + 6
add like terms
5x + 3 = 2x + 6
subtract 2x from both sides
3x + 3 = 6
subtract 3 from both sides
3x = 3
divide by 3
x = 3
the graph of y= f(X) is shown below, what point could be used to find f(3)?
Answer:
Point A
Step-by-step explanation:
The long that would be used to find f(3) is the point that shows the value of y when x = 3.
Looking at the graph given, the only point that shows the value of y when x = 3 is point A.
When x = 3, y = 0.
Therefore, f(3) = 0.
Which system has the same solution as the system of
equations shown?
3x + 2y = -5
2 + 3y = 5
O 6x+4y=-5
6x + y - 5
o
9x+6y=-15
4x + 6y - 10
O
6x+4y=-10
-6x + 9y - 15
6x+4y-- 10
6x + 9y - 5
Answer:
1
Step-by-step explanation:1
please help me with these 2 questions, please show work
Answer:
5x - 4 = 11
1/2x + 15 = 9
Step-by-step explanation:
I dont exactly know how u would show work.
If it says something is less than a number, then it will be at the back of the equation. So skip that part and u will see it says five times a number. The number is unknown therefore it will a variable (i chose x to be the variable). 5 times x is 5x. Minus the 4 would be 5x - 4. Then it says the equation equals 11. So 5x - 4 = 11.
If it says something is more than a number, it can be on either side of the equation using the commutative property of addition. But if we want to consider it being like subtraction, then it also will be in the back of the equation. A half is one over two (1/2). A half of x is 1/2x. Plus the 15 would be 1/2x + 15. It then states that the equation equals 9. So 1/2x + 15 = 9.
Rearrange x = 7y - 5 to make y the subject.
By rearranging x = 7y - 5 to make y the subject, we get
x + 5 = 7y ( By transposition method )
or, [tex] \huge \purple {\tt {\frac{x + 5}{7} = y}} [/tex]
Answer:[tex] \huge \pink {\tt {y = \frac{x + 5}{7}}} [/tex]
The equation x = 7y - 5 can be rearranged as y = x/7 + 1/7 after making the subject as y.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The equation is:
x = 7y - 5
To make the subject as y:
x + 5 = 7y
Or
7y = x + 5
y = 1/7[x + 5]
y = x/7 + 1/7
Thus, the equation x = 7y - 5 can be rearranged as y = x/7 + 1/7 after making the subject as y.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
When a driver needs to stop a car, the approximate stopping distance d(in feet) is given by the formula: d=0.05v^(2)+2.2v, where v is the speed of the car (in miles per hour). Suppose a car travels 200 feet before stopping(d=200). How fast was the car traveling?
Step-by-step explanation:
The approximate stopping distance d(in feet) is given by the formula :
[tex]d=0.05v^2+2.2v[/tex] ...(1)
Where
v is the speed of the car in mph
We need to find the speed of the car when the distance is 200 feet
Put d = 200 in equation (1)
[tex]0.05v^2+2.2v=200\\\\0.05v^2+2.2v-200=0[/tex]
It is a quadratic equation. Divide the above equation by 0.05.
[tex]v^2+44v-4000=0[/tex]
The solution of the above equation is given by :
[tex]v=\dfrac{-44\pm \sqrt{44^2- 4(1)(-4000)} }{2(1)}\\\\v=\dfrac{-44+ \sqrt{44^2- 4(1)(-4000)} }{2(1)},\dfrac{-44- \sqrt{44^2- 4(1)(-4000)} }{2(1)}\\\\v=44.96\ ft/h, -88.96\ ft/h[/tex]
Since, 1 mph = 5280 ft/hour
44.96 ft/h = 0.00851 mph
-88.96 = -0.0168 mph
Hence, this is the required siolution.
Is this answer to the question correct?
Answer:
y is correct but x is not
Step-by-step explanation:
because x+ 118°=180°[ co- interior angle ]
7 m
10 m
7 m
9 m
34 m
how do I find the area?
Answer:
you multiply all of those answers
Step-by-step explanation: