Answer:
The square root of minus one √(−1) is the "unit" Imaginary Number, the equivalent of 1 for Real Numbers.
Step-by-step explanation:
PLEASE HELP QUICK!!!!! WILL GIVE BRAINIEST!!!!!
Answer:
-2
Step-by-step explanation:
its -2 cuz to find the slope the equation is the second y - the first y over the second x - the first x so -5 - 5 is 10 over 3 - -2 is 5 so it would be -10/5 which simplifies to -2
The perimeter of a triangle is 17 x − 5 units. One side is 3 x + 5 units and another is 8 x − 3 units. How many units long is the third side? 6 x − 7 6 x − 7 6 x − 13 6 x − 13 12 x − 7 12 x − 7 22 x − 23
Answer:
A.) 6x - 7
Step-by-step explanation:
Find the midpoint of the line segment with end coordinates of (2,0) and (8,8)
Answer:
(5,4)Step-by-step explanation:
[tex]Midpoint = \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(2,\:0\right),\:\\\left(x_2,\:y_2\right)=\left(8,\:8\right)\\\\=\left(\frac{8+2}{2},\:\frac{8+0}{2}\right)\\\\=(\frac{10}{2} , \frac{8}{2} )\\\\Simplify\\\\(5,4)[/tex]
Answer:
(5,4)
Step-by-step explanation:
Please help! Pleaseeee! It’s not that hard
Answer:
B
Step-by-step explanation:
Which of the following coordinate planes shows the graph of the function y-3=-2(x+2)?
Answer:
-5=x
Step-by-step explanation:
3=-2 (x+2)
-2 (x+2) = -2x-4
3=-2x-4
-4 from 3 and -4
= -7=-2x
do the opposite "-2 to +2 "
=-5=x
What is the value of y in the equation 2(4y - 1) = 6? (4 points)
8y-2=6
8y=8
y=1
The value of the y is 1.
Does anyone know the answer to this and how to solve it? Thanks
− 3 x + 12 = x , then x =
Answer:
x=3
Step-by-step explanation:
-3x+12=x
12=x+3x
12=4x
x=12
4
x=3 hope it helpu
Which step contains an error?
A.) Step 2
B.) Step 4
C.) Step 6
D.) Step 8
Step 6 contains an error. Option C is correct
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
The incorrect step is;
[tex]\rm 1 + cos \theta = 2 sin^2\frac{\theta}{2}[/tex]
The correct step is;
[tex]\rm 1 - cos \theta = 2 sin^2\frac{\theta}{2}[/tex]
Because when you multiply the whole equation the cosΘ will be negative and in the given solution it is positive. Step 6 contains an error.
Hence, option C is correct
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Answer my questio down below plz and thank you!!
1.) 1
2. 4
3. 5
4. 3
Answer:
4. 3
Step-by-step explanation:
If you multiply 2 by 3 it'll equal to 6. Same with 7 x 3= 21.
You could also subtract 7 from 2 equalling 5 and 21 - 6 equal to 15. Then you would but y over x giving you 15/5. 15 divided by 5 is 3. So both ways you get 3.
Hope that helps :)
Write a quadratic function in the vertex form such that the graph of the function has a vertex at (6, -2) and passes through point (9, -11).
Sanjaya is making punch. He uses LaTeX: \frac{1}{3}1 3 c of pineapple juice for every LaTeX: \frac{3}{4}3 4 c of orange juice. How many cups of pineapple juice does he need if he uses 3 c of orange juice? Show your work (psst...Make sure you label or it will be marked wrong).
Answer: [tex]1\dfrac13[/tex] cups of pineapple juice .
Step-by-step explanation:
Equation of direct proportion between x and y:
[tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]
As per given,
Let x = quantity of pineapple juice and y = quantity of orange juice.
[tex]x_1=\dfrac13\[/tex] , [tex]y_1=\dfrac34[/tex] , [tex]y_2=3[/tex]
Put these values in an equation we get
[tex]\dfrac{\dfrac13}{\dfrac34}=\dfrac{x_2}{3}\\\\\Rightarrow\ \dfrac{4}{9}=\dfrac{x_2}{3}\\\\\Rightarrow\ x_2=3\times\dfrac{4}{9}=\dfrac{4}{3}\\\\\Rightarrow\ x_2=1\dfrac13[/tex]
Hence, he needs [tex]1\dfrac13[/tex] cups of pineapple juice .
Answer:
He needs 1 and 1/3 cups of pinapple juice when he uses 3 cups of orange juice.
Step-by-step explanation:
Orange Juice:
3 cups / 3/4 cups = 12/3= 4
Pineapple Juice:
1/3 × 4 = 4/3 cups= 1 1/3 cups
3
John has 18 pounds of pet food and is going to separate it into pound portions. How many portions of pet food will he
have?
Answer:16
Step-by-step explanation:18- 3=16
I am very much lost if anybody understand this can u help me
Please
Answer:
y= -2/7x-7
Step-by-step explanation:
slope intercept form is just a fancy way of saying y=mx+b
x being your input, y your output, m your slope, and b your y intercept
you can use the slope to determine your equation will look something like: y=-2/7x+b. To find your y-intercept all you do is determine how much the point will increase or decrease so it is equal to (0, y). In this case it will increase by 14 on the x's (so x is equal to 0) and 14*-2/7. When you have determined your y-int and slope you can then plug them into the equation instead of the variables.
Walter and Helen are asked to paint a house. Walter can paint the house by himself
in 12 hours and Helen can paint the house by herself in 16 hours. How long would it
take to paint the house if they worked together? Round to the nearest tenth.
The division is one of the four fundamental arithmetic operations. The time it will take both of them together to paint the house is 6.857 hours.
What is Division?The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Let the area that is needed to be painted be x.
Given that Walter can paint the house by himself in 12 hours. Therefore, we can write the rate at which Water paint is,
Rate = Area needed to be painted / Time
= x / 12 hours
= x/12
Further, given that Helen can paint the house by herself in 16 hours. Therefore, we can write the rate at which Helen paint is,
Rate = Area needed to be painted / Time
= x / 16 hours
= x/16
Now, the rate at which they both will paint or the area that they will cover in an hour is,
Rate = (x/12) + (x/16)
= (4x/48) + (3x/48)
= (4x + 3x)/48
= 7x / 48
Furthermore, the time it will take both of them together to paint the house is,
Time = Area needed to be painted / Rate
= x / (7x/48)
= 48/7 hours
= 6.857 hours
Hence, the time it will take both of them together to paint the house is 6.857 hours.
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A unicorn whose mass is 65 kg is moving at a speed of 4 m/s. What is the unicorn's kinetic energy?
Answer:
[tex]KE = 520 J[/tex]
Step-by-step explanation:
[tex]KE=\frac{1}{2}mv^2\\KE=\frac{1}{2}*65*4^2\\KE=\frac{1}{2}*65*16\\\\KE=520J[/tex]
Lucia is 5.5 feet tall. She is standing on the roof of a building that is 80 feet tall. She spots a fountain at ground level that she knows to be 122 feet away from the base of the building. What is the measure of the angle of depression formed by Lucia's horizontal line of sight and her line of sight to the fountain? Round your answer to the nearest degree.
Answer:
125°
Step-by-step explanation:
So we know that the total height is 85.5 (building height plus Lucia's height) and that the distance between Lucia and the fountain is 122ft away. As seen in the badly drawn picture below, the question asks us to solve for x, we can do this by first solving for y by using tangent to calculate its value which is the following
tan(y) = opposite / adjacent
tan(y) = 122 / 85.5
tan(y) = 1.4269
y = [tex]tan^{-1}[/tex](1.4269)
y = 54.97
Now that we have the value of y and we know that a straight line has a degree of 180, we can simply subtract the degree of y from 180 to get the degree of x
180 - 54.97 = 125.03
Answer:
about 35°
Step-by-step explanation:
tan^-1(85.5/122)
35.02352736°
=35°
Verona is solving the equation -3 + 4x = 9. In order to isolate the variable term using the addition property of equality, which number should she add to both sides of the equation?
–4
3
–3
4
Answer: 3
Step-by-step explanation:
-3 + 4x = 9
if u add 3 to 9, u get 12. 12 divided by 4 is 3
Add 3 to both sides of the equation to isolate the variable term. Therefore, option B is the correct answer.
The given equation is -3 + 4x = 9.
What is addition property of equality?The addition property of equality tells us that adding the same number to each side of an equation gives us an equivalent equation.
Now, add 3 on both sides.
That is, -3 + 4x +3= 9+3
⇒4x=12
⇒x=3
Therefore, option B is the correct answer.
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The temperature was 2.5°C below zero. After 4 hours, the temperature was now 5.6°C
above zero. What is the difference in temperature?
Show your work
Explain your answer
And THXS
Write an expression for the sequence of operations described below.
j times the product of 4 and 7
J times the product of 4 and 7:
J(4x7)
Answer:
28j
Step-by-step explanation:
4 times 7=28
28 times j= 28j
HELP ME PLS ILL MARK AS BRAINLESS
Answer:
A. 10:2, simplifies to 5:1
B. 2:6, simplifies to 1;3
C. 5 cars there are 3 trucks
D. Motorcycle
Step-by-step explanation:
Find the measure of the indicated angle to the nearest degree.
A. 40
B. 57
C. 33
D. 50
Answer:
50(Option D)
Step-by-step explanation:
Trigonometry
Inverse trig for this
So we are given adjacent and opposite legs for this part. So tangent is used except because we are finding angle(tan^-1 is used) tan^-1 is not 1/tan
tan^-1(56/47)
We get 49.993744 and so on
So rounded to the nearest degree, that is 50.
PLEASE HELP. I need an answer by Nov 5
Fill in the missing reasons for the following two-column proof for the following information. Given: M is the midpoint of CD; CM = 3x – 10; MD = 6x – 22 Prove: x = 4
M is the midpoint of CD; CM = 3x – 10 ; MD = 6x - 22 1.?
CM=MD 2.?
3x – 10 = 6x – 22 3. substitution
-3x – 10 = -22 4. Subtraction Property of Equality
-3x = -12 5. ?
x=4 6. Division Property of Equality
Answer:
Step-by-step explanation:
1. M is the midpoint of CD; CM = 3x - 10; MD = 6x - 22; GIVEN
2. CM = MD Definition of Midpoint
3. 3x - 10 = 6x - 22 Substitution Property
4. -3x - 10 = - 22 Subtraction Prop of Equality
5. -3x =-12 Addition Prop of Equality
6. x = 4 Division Prop of Equality
The missing reasons in the two-column proof are:
1. Given
2. Definition of a midpoint
3. Addition property of equality
What is the Addition Property of Equality?To apply the addition property of equality, both sides of an equation is added with equal quantity to make it balanced.
In the two-column proof given, the missing reasons are:
1. Given (the information was stated already)
2. Definition of a midpoint (CM = MD)
3. Addition property of equality (10 was added to both sides of the equation).
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40 POINTS HELP ME! I NEED HELP WITH THIS !!
Answer:
1 pair of wings = 3/4 yard fabric
We know that 1 yard of fabric = $8
1 pair of wings = $8 x 3/4 = $6
Therefore total cost = $6 x 13 = $78
Step-by-step explanation:
If a coffee bar sells on average 12 ounces of coffee every three minutes during the busy morning hours, how many gallons of coffee do they sell in 4 hours?
Answer:
7.5 gallons
Step-by-step explanation:
divide 12 by 3 to get oz per minute. 4
do 60 × 4 to get total minutes 240
4×240=960
put 960 oz into gallons and get 7.5
Write the equation of a line that is perpendicular to y=2/7x +9 and that passes through the point (4,-6).
Answer:
[tex]y=-\frac{7}{2}x+8[/tex]
Step-by-step explanation:
Given the equation
[tex]y\:=\:\frac{2}{7}x+9[/tex]
comparing the equation with the slope-intercept form
[tex]y =mx+b[/tex]
Here,
m is the slope y is the interceptso the slope of the line is 2/7
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
the slope of the perpendicular line will be: -7/2
Therefore, the point-slope form of the equation of the perpendicular line that goes through (4,-6) is:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-\left(-6\right)=\frac{-7}{2}\left(x-4\right)[/tex]
[tex]y+6=\frac{-7}{2}\left(x-4\right)[/tex]
[tex]y+6-6=\frac{-7}{2}\left(x-4\right)-6[/tex]
[tex]y=-\frac{7}{2}x+8[/tex]
Write a linear function with the values f(0) = 5 and f(-3) = 6
Answer:
You are given two points, (0,6) and (3,-3), so use the two-point formula for the equation of a line:
y - y1 = ( (y2 - y1) / (x2 - x1) ) (x - x1)
y - 6 = ( -9 / 3 ) (x - 0)
y - 6 = -3x
y = -3x + 6 This is: y = mx+b
Step-by-step explanation:
hope this will help you..
The linear function with the values f(0) = 5 and f(-3) = 6 is [tex]y=\frac{-1}{3}x+5[/tex]
The given functions are:
f(0) = 5
f(-3) = 6
That is, x₁ = 0, y₁ = 5, x₂ = -3, y₂ = 6
The slope of the linear function is calculated as:
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{6-5}{-3-0} \\\\m=\frac{-1}{3}[/tex]
The equation of a line is given as:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-5=\frac{-1}{3}(x-0)\\\\y-5= \frac{-1}{3}x\\\\y=\frac{-1}{3}x+5[/tex]
The linear function with the values f(0) = 5 and f(-3) = 6 is [tex]y=\frac{-1}{3}x+5[/tex]
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Can someone please help me ASAP
Answer:
D
Step-by-step explanation:
They should both level out at the same height considering the volume of hydrochloric acid used.
Answer:
D
Step-by-step explanation:
helpppp plesase ASAP