Answer:
lo contrario de -3 es positivo tres o 3
Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio. A(10, 8), B(18, 12); 1 to 3
Answer:
The coordinates of P are (12,9)
Step-by-step explanation:
Equations
We are given the endpoints of the segment AB: A(10,8) B(18,12).
It's required to find the coordinates of point P(x,y) along the segment AB such that:
[tex]\displaystyle \frac{AP}{PB}=\frac{1}{3}[/tex]
The ratio of the distances is the same as the ratio of their respective coordinates:
[tex]\displaystyle \frac{x_{AP}}{x_{PB}}=\frac{1}{3}[/tex]
[tex]\displaystyle \frac{y_{AP}}{y_{PB}}=\frac{1}{3}[/tex]
Since
[tex]x_{AP}=x_P-x_A=x-10[/tex]
[tex]x_{PB}=x_B-x_P=18-x[/tex]
Then:
[tex]\displaystyle \frac{x-10}{18-x}=\frac{1}{3}[/tex]
Multiplying by 3 (18-x):
3( x - 10 )= 18 - x
3x - 30 = 18 - x
Adding x and 30:
4x = 48
x = 12
Similarly:
[tex]\displaystyle \frac{y-8}{12-y}=\frac{1}{3}[/tex]
Multiplying by 3 (12-y):
3( y - 8 ) = 12 - y
3y - 24 = 12 - y
Adding y and 24:
4y = 36
y = 9
The coordinates of P are (12,9)
Let z = 0.3(cos(31°) + i sin(31°)) and w = 20(cos(18°) + i sin(18°)).
Which statement describes the geometric construction of the product zw on the complex plane?
Stretch z by a factor of 6, then rotate 18° counterclockwise.
Stretch z by a factor of 6, then rotate 49° counterclockwise.
Stretch z by a factor of 20, then rotate 18° counterclockwise.
Stretch z by a factor of 20, then rotate 49° counterclockwise.
i think the answer is B but idk
Answer:
Option (C) is correct.
Step-by-step explanation:
Given that z = 0.3(cos(31°) + i sin(31°)) and 20(cos(18°) + i sin(18°)).
The product of both the complex number is
zw = [0.3(cos(31°) + i sin(31°))] x [20(cos(18°) + i sin(18°))]
=(0.3x20)[cos(31°) x cos(18°) + cos(31°) x i sin(18°) + i sin(31°) x cos(31°)+ i sin(31°) x i sin(18°)]
Here, (0.3x20)=6, is the magnitude of zw, which is stretching of 0.3 by 20.
zw=6[cos(31°) x cos(18°) + i{cos(31°) x sin(18°) + sin(31°) x cos(31°)}+ i² sin(31°)x sin(18°)]
As i²= -1, So
zw=6[cos(31°) x cos(18°) + i{cos(31°) x sin(18°) + sin(31°) x cos(31°)} - sin(31°)x sin(18°)]
=6[{cos(31°) x cos(18°)- sin(31°)x sin(18°)} + i{cos(31°) x sin(18°) + sin(31°) x cos(31°)}]
As cosAcosB - sin A sin B = cos (A+B) and cosAsinB + sin A sos B = sin (A+B), so
zw=6[cos(31°+18°) + i{sin(31°+18°)]
Note that, initially the argument of z is 31° and after rotation of 18° in counterclockwise direction, the argument od zw is 31°+18°= 49°. i.e
zw=6(cos(49°) + isin(49°)).
So, zw can be determined by stretching z by a factor of 20, then rotating by 18° counterclockwise.
Hence, option (C) is correct.
Answer:
C: Stretch z by a factor of 20, then rotate 18° counterclockwise.
Step-by-step explanation:
Took the quiz.
Solve for x in the equation x2 - 8x+41 - 0
X=-41 371
x= -4 + 5i 0 X-4+ 371
x = 4 + 5/
Answer:
x= 4+5i
Step-by-step explanation:
The values of x in the given quadratic equation, x²-8x+41 = 0 are x = 4+5i or x = 4-5i
What is quadratic equation?A quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown value, and a, b, and c represent known numbers, where a ≠ 0.
Given is a quadratic equation, x²-8x+41 = 0, we need to find the values of x,
Since, 41 is a prime number, which can not be factorized so, we will use quadratic formula,
x = [-b ± √(b²-4ac)] / 2a
Here, a = 1, b = -8, c = 41
Therefore,
x = [8 ± √(8²-4(41))] / 2
= [8 ± √(64-164)] / 2
= [8 ± √(-100)] / 2
= [8 ± 10i] / 2
= [4 ± 5i]
Therefore, x = 4+5i or x = 4-5i
Hence, the values of x in the given quadratic equation, x²-8x+41 = 0 are x = 4+5i or x = 4-5i
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There are 500 sheets of paper in one ream. The counter says that 23,500 copies have been made. How many teams of paper were used
Answer:
47 reams of paper were used
Step-by-step explanation:
23,500 divided by 500 equals 47
Answer:
47 reams
Step-by-step explanation:
23,500 sheets were made, then you divide by 500, bc each ream has 500. And you get 47 reams of paper :)
the cost of 2 ounces of pure gold was $2,640. How much did it cost for 1 ounce of pure gold?
Answer:
$1,320
Step-by-step explanation:
First you divide $2.640 with 2 and tah da
While painting the interior of a large house, Gene is going to transfer some paint in a large 5 gallon container to a smaller bucket. Unfortunately he slips and spills 2 gallons of paint all over the floor. If each wall in the house takes 9/24 of a gallon to paint, how many walls can he paint with what he has left?
Answer:
8 walls
Step-by-step explanation:
While painting the interior of a large house, Gene is going to transfer some paint in a large 5 gallon container to a smaller bucket. Unfortunately he slips and spills 2 gallons of paint all over the floor.
The remaining amount of paint is
= 5 gallons - 2 gallons
= 3 gallons
If each wall in the house takes 9/24 of a gallon to paint, how many walls can he paint with what he has left?
Hence:
9/24 gallon = 1 Wall
3 gallons = x wall
Cross Multiply
9/24 × x = 3 × 1
x= 3 ÷ 9/24
x = 3 × 24/9
x = 8 walls
He can paint 8 walls with what is left.
Jelly beans cost $15.98 for a 2 kg bag. At this rate, how much would 7 kg cost
Answer:
lets see every 2kg bag its 15.98 so every 4kg its 31.96 and for every 6kg its 47.94 so if every 1kg its 7.99 so add 47.94 + 7.99 you get 55.93
Step-by-step explanation:
hey bro's help me!!
Answer:
1st is 26.376 2nd is n
Step-by-step explanation:
2pie X r so. 2 X3.14X4.2
Answer:
26.376 cm
4 is the constant
Step-by-step explanation:
C = [tex]2\pi r[/tex]
To find the circumference, we first need to find the radius. The radius of a circle is half the diameter, so divide 84 by 2:
84/2 = 42
The radius is 42. Now we can solve for the circumference:
C = 2[tex]\pi[/tex](42)
C = 84[tex]\pi[/tex]
C = 263.89
The circumference is approximately 263.89 mm. Now we need to convert the millimeters to centimeters. There are 10 millimeters in 1 centimeter, so divide the circumference by 10:
263.89/10 = 26.389
The circumference is approximately 26.389 cm. The answer choice that our answer is closest to is the first answer choice.
4 + 2n
The constant in an expression is the value that doesn't change. After 2 and n are multiplied, that value will be different, so their values aren't constant. So, in this expression, 2 is the coefficient, n is the variable, and 4 is the constant.
Hope this helps :)
The graph shows the height of a plant over a 2-month growth period. Calculate the rate of change per day.
Answer:
14/61 cm per day
Step-by-step explanation:
Use the slope formula [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
Plug it in [tex]\frac{16-2}{61-0}[/tex]
Simplify [tex]\frac{14}{61}[/tex]
If the graph shows the height of a plant over a 2-month growth period. The rate of change per day will be 14/61.
What is the rate of change?It is defined as the change in values of a dependent variable with respect to the independent variables. Analyze the points first, then calculate the y-values for each interval. After that, subtract the input and output values. Divide and then simplify the differences to determine the rate of change.
It is given that, the graph shows the height of a plant over a 2-month growth period
The kind of graph must be considered when calculating the rate of change. Finding the ratio between the change in output values and the change in their corresponding input values is how linear graphs with constant rates of change are determined. Look at the following linear graph.
The slope of a linear function represents the pace of change. We have two points to determine the slope,
The rate of change per day is found as,
=y₂-y₁/x₂-x₁
=16-2/61-0
=14/61
Thus, if the graph shows the height of a plant over a 2-month growth period. The rate of change per day will be 14/61.
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⚠️⚠️What’s the equation (Y=Mx+b) and B? ⚠️⚠️
Answer:
The equation for this line in slope-intercept form (y = mx + b) is y = [tex]\frac{5}{4}[/tex]x + 2, because the rise (5) over the run (4) is the slope aka 'm', and the line touches the y-axis at the point (0,2) In this ordered pair the y-value is 2, so the y-intercept, or 'b', is equal to 2.
What is the value of y in the equation 2(3y + 4 + 2) = 196 − 16?
Answer:
y=28
Step-by-step explanation:
y+2 = -3(x – 4)
Complete the missing value in the solution to the equation.
(?, -2)
Answer:
The missing value in the solution to
the equation will be:
[tex]x=4[/tex]Step-by-step explanation:
Given the equation
[tex]y+2\:=-3\left(x\:-\:4\right)[/tex]
As the value of y = -2 is given.
so substituting the value y = -2 in the equation to find the missing value
[tex]\left(-2\right)+2\:=-3\left(x\:-\:4\right)[/tex]
switch the sides
[tex]-3\left(x-4\right)=\left(-2\right)+2[/tex]
[tex]\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a[/tex]
[tex]-3\left(x-4\right)=-2+2[/tex]
[tex]-3\left(x-4\right)=0[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-3[/tex]
[tex]\frac{-3\left(x-4\right)}{-3}=\frac{0}{-3}[/tex]
[tex]x-4=0[/tex]
[tex]x=4[/tex]
Therefore, the missing value in the solution to
the equation will be:
[tex]x=4[/tex]What is m∠PQR
need ASAP
Answer:
134
Step-by-step explanation:
Its 134, i did the math and my old answer had the explanation, but someone deleted it.
The slope of a line is ½ and the y-intercept is 4. What is the x-intercept of this line?
Answer
the x intercept is (-8,0)
Step-by-step explanation:
Write and solve an inequality to fit each phrase; the product of -7 and a number is no more than 77
Answer:
- 7n ≤ 77
Step-by-step explanation:
- 7n ≤ 77
n ≥ - 11
You and your two friends go out for dinner and you each order the same meal and drink. Each of you leaves a $10 tip to your total. Let m represent the cost of each meal with drink, tax included
Answer:
2m + 20
Step-by-step explanation:
Given that:
Cost per meal = m
Tip left = $10
Total cost for each person :
m + 10
Total amount spent by the two :
2(m + 10)
2m + 20
I inherited $4500 from a family friend. My Financial Advisor told me i could put it in a fund that would earn 7% interest compounded annually. Write an Exponential Function to represent how much money you would have over x number of years.
a f(x) = 4500(1 - 0.07)x
b f(x) = 4500(1+0.07)(x)
c f(x) = 4500(1.07x)
d f(x)=4500(1 + 0.07)x
Answer:315
Step-by-step explanation:
Ms. J has been practicing her factoring skills. She factored the following problem by grouping,
but made a mistake.
Example 1: 4x2 + 20x - 3xy - 15y
Ms. J's work:
Step 1: 4x2 + 20x - 3xy - 15y
Step 2: 4x(x + 5) - 3y(x - 5)
Step 3: (x+5)(4x - 3y)
a. What was the mistake?
b. How can she fix the mistake?
Answer:
a) She did mistake in Step 2
b) when she take -3y common then the term should be: -3y(x+5) instead she wrote -3y(x-5)
Step-by-step explanation:
We need to find problem in Ms J solution.
Ms J solution:
[tex]Step \ 1: 4x^2 + 20x - 3xy - 15y\\Step \ 2: 4x(x + 5) - 3y(x - 5)\\Step \ 3: (x+5)(4x - 3y)[/tex]
She did mistake in Step 2 when she take -3y common then the term should be: -3y(x+5) instead she wrote -3y(x-5)
Correcting the mistake:
[tex]Step \ 1: 4x^2 + 20x - 3xy - 15y\\Step \ 2: 4x(x + 5)\mathbf{- 3y(x +5)}\\Step \ 3: (x+5)(4x - 3y)[/tex]
What is the measure of <C ? O 38° O 76° O 90° O 152°
Answer:
Your answer is 38 degrees.
Step-by-step explanation:
The question was solved through the properties of a circle. The angle subtended at the center is double the angle subtended at the circumference.
Hope I helped, happy schooling!!
The measure of <C is 38°. The answer is the first option 38°
Circle theoremsFrom the question, we are to determine the measure of <C.
In the diagram, <C is an angle on a part of the circumference.
From the given information, the angle subtended by arc AB at the center of the circle is 76°
From one of the circle theorems we have that
The angle subtended by an arc of a circle at its center is twice the angle it subtends anywhere on the circle's circumference
Therefore,
2 × <C = 78°
<C = 76° ÷ 2
<C = 38°
Hence, the measure of <C is 38°. The answer is the first option 38°
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PLEASE HELP ASAP!!!! i’ll mark brainlest
Answer:
C
Step-by-step explanation:
rounding
Based on the Egyptian Social Pyramid, which statement below is true?
Scribes protected the kingdom from invasion.
Merchants made up a large portion of the pharaoh's police force.
If a boy didn't want the same job as his father, he could go to scribe school.
Farmers, servants, and slaves made up 20% of the population.
Answer:
Third Option
Step-by-step explanation:
Lets use process of elimination to find the answer to this question. It's not the first option because a scribes job was mainly in the government district as writers/record keepers meaning they don't really protect the kingdom from invasion. It's not the second options because Merchants were traders, meaning they don't make up the Pharaohs police force because all they do is sell goods to Egyptians. Then it's not fourth option because farmers, servants, and slaves make up way more then 20% of ancient Egypt. Leaving the third option meaning it's your answer.
Hope this helps.
helppppp plssssssssss
what times (-26)=26 PLEASE HELP ME
Answer:
-26 × -1 = 26
This is your answer , pls mark me the brainliest!!
Answer:
-1
Step-by-step explanation:
1 x 26 is like that , -1 x -26 = 26. Hope this helps!
What is the slope of the line that passes through the points (-2, 4) and (1, 4)?
Answer:
there is no slope. y = 4, the line is horizontal
Is a circle a function?
Yes, the graph is symmetrical
No, there is infinite data
No, each output has more than one input
No, each input has one output
Answer:
No, Each input has one output
Step-by-step explanation:
A circle can't be a function because of its radius and diameter, its not linear so it might have the same input or output. Therefore, you need a line to have a linear function .!
Pls mark brainiest!
I hope you get this right!
what is 4(2×-7)+3(3×-1)=3(2-×)
Answer:
x=37/20
Step-by-step explanation:
4(2x-7)+3(3x-1)=3(2-x)
8x-28+9x-3=6-3x
17x+3x=6+31
20x=37
Answer:
x = [tex]\frac{71}{3}[/tex]
Step-by-step explanation:
1. Simplify/distribute each side.
[tex]4(2)(-7)+3(3)(-1)=3(2-x)[/tex]
[tex]4(2)(-7)+3(3)(-1)=(3)(2)+(3)(-x)[/tex]
[tex]-56+-9=6+-3x[/tex]
2. Flip the equation around.
[tex]-3x+6=-65[/tex]
3. Subtract 6 to balance the equation.
[tex]-3x+6-6=-65-6[/tex]
[tex]-3x=-71[/tex]
4. Divide each side by 3. We know they are in the same fact family.
[tex]\frac{-3x}{-3} = \frac{-71}{3}[/tex]
Is the following relation a function?
Х
y
-2
1
0
3
5
.5
7
8
No
Yes
Answer:
Yes, its a function
Step-by-step explanation:
ANSWER RIGHT AWAY!!!!
Answer:
1st and 3rd are functions, 2nd and 4th are not functions
Step-by-step explanation:
Answer:
Function : 1 , 3
Not a Function : 2 , 4
Step-by-step explanation:
Using the vertical line test for the first two, and the last two you are able to tell because each input (x) can only have one output (y).
help somebody thanks .
Help me plz guys and girls plz
Answer:
The first one
Step-by-step explanation:
since you're subtracting 12, it will be -8
the -8/4 = -2
Answer:
It is the first answer choice b<4 or b>-2
Step-by-step explanation:
Solve the first inequality like so
6b<24
divide by 6 on both sides
b<4
Now for the second inequality solve like so
4b+12>4
Subtract 12 on both sides
4b>-8
Divide on both sides by 4
b>-2
This leaves us with only one answer choice which is A -
b<4 or b>-2
If you can please make my answer the brainliest that would be much appreciated. Thanks!