Answer:
When you fold the number line ( vertically through the point zero on the number line ) you have successfully divided the number line into 2 equal halves.
Step-by-step explanation:
When you fold the number line ( vertically through the point zero on the number line ) you have successfully divided the number line into 2 equal halves. and this causes the points labelled on either side of the number line to match up with with the points on the opposite side
Help quick please!!!
What Is the equation in slope-intercept form of the line that passes through the point (0-4) and is parallel to the line represented by y = x +4?
O y = 2x - 6
O y=-x+6
O y=-2x5
O y=x-4
Answer:
y = x-4
Step-by-step explanation:
y = x +4
This has a slope of 1 since it is in the form y = mx+b where m is the slope and b is the y intercept
Parallel lines have the same slope
The line we are interested in passes through the point (0,-4) which means it has a y intercept of -5
y = mx+b
y = 1x-4
y = x-4
A ship is at a distance of 200 m from a tall tower. What is the angle of depression (to the nearest degree) of the ship found by a man after climbing 50 m up the tower?
Answer:
14degrees
Step-by-step explanation:
Given the following
Distance of ship from the tower = 200m
Height of the tower = 50m
Required
Angle of depression theta
USing the SOH CAH TOA identity
Tan theta = opposite/adj
Tan theta = 50/200
Tan theta = 1/4
theta = arctan(0.25)
theta = 14.03degrees
Hence the angle of depression is 14degrees
Six friends are sharing the cost for a pizza
party p equally. Each person paid $15.25.
Find the total cost of the pizza party.
Answer:
4
Step-by-step explanation:
A painter is to mix green and yellow paint in the ratio of 4 to 7 to obtain the color she wants.
If she has 28 liters of green paint, how many liters of yellow paint should be added?
A. 11
B. 16
C. 28
O D. 49
E. 196
Answer:
D. 49
Step-by-step explanation:
Create a proportion where x is the number of liters of yellow paint she should use:
[tex]\frac{4}{7}[/tex] = [tex]\frac{28}{x}[/tex]
Cross multiply and solve for x:
4x = 196
x = 49
So, she should add 49 liters of yellow paint.
The correct answer is D. 49
no one has answered this one
Answer:
[tex]\displaystyle x = \frac{25\sqrt{2}}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cosθ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 45°
Adjacent Leg = 25
Hypotenuse = x
Step 2: Solve for x
Substitute in variables [cosine]: [tex]\displaystyle cos(45^\circ) = \frac{x}{25}[/tex][Multiplication Property of Equality] Multiply 25 on both sides: [tex]\displaystyle 25cos(45^\circ) = x[/tex]Rewrite: [tex]\displaystyle x = 25cos(45^\circ)[/tex]Evaluate: [tex]\displaystyle x = \frac{25\sqrt{2}}{2}[/tex]Which value(s) of x are solution(s) of the equation below
Answer:
x =-1 , x=4Step-by-step explanation:
[tex]\frac{1}{x-4}+\frac{x}{x-2}=\frac{2}{x^2-6x+8}\\\\\mathrm{Multiply\:by\:LCM=}\left(x-4\right)\left(x-2\right)\\\\\frac{1}{x-4}\left(x-4\right)\left(x-2\right)+\frac{x}{x-2}\left(x-4\right)\left(x-2\right)=\frac{2}{x^2-6x+8}\left(x-4\right)\left(x-2\right)\\\\Simplify\\\\x-2+x\left(x-4\right)=2\\\\Solve\\\\x=4,\:x=-1[/tex]
Answer:
[tex] \frac{1}{x - 4} + \frac{x}{x - 2} = \frac{2}{ {x}^{2} - 6x + 8} \\ \\ \frac{1}{x - 4} + \frac{x}{x - 2} = \frac{2}{(x - 4)(x - 2)} \\ \\ \frac{(x - 2) + x(x - 4)}{(x - 4)(x - 2)} = \frac{2}{(x - 4)(x - 2)} \\ \\ x - 2 + {x }^{2} - 4x = 2 \\ \\ {x}^{2} - 3x - 4 = 0 \\ (x - 4)(x + 1) = 0 \\ x = 4 \: \: and \: \: x = - 1[/tex]
Pleaseeee helpppp meeee nowwwww
Answer:
The rate of change would be $3.50 per gallon.
Step-by-step explanation:
In the graph depicted in the picture, when the number of gallons increases by 2, the price increases by $7. Since the graph maintains a constant rate of change, that means the rate of change would be [tex]\frac{7}{2}[/tex] or $3.50 per gallon.
Which graph represents the parametric equations x = t^2 + 2t and y = –t, where –4 ≤ t ≤ 1?
Answer:
We have:
x = t^2 + 2*t
y = -t
where:
–4 ≤ t ≤ 1
Isolating t in the "y" equation, we get:
t = -y
Now we can use the limits of t, to find similar limits for y.
When t = -4
-4 = -y
4 = y
when t = 1
1 = -y
-1 = y
Then the limits for y are:
-1 < y < 4
Now, knowing that t = -y
we can replace that in the "x" equation:
x = t^2 + 2*t
x = (-y)^2 + 2*(-y)
x = y^2 - 2*y
Then the graph of the parametric equation is the one defined by:
x = y^2 - 2*y
in the range
-1 < y < 4
The graph of this can be seen below, where the two black dots are the points where the graph should start/end.
The graph that represents the parametric equations is a parabola with an axis of symmetry is parallel to the x-axis.
An approach to determine the possible graph consists in eliminating [tex]t[/tex] and simplify the resulting expression of the form [tex]f(x)[/tex]:
[tex]x = t^{2}+2\cdot t[/tex] (1)
[tex]y = -t[/tex] (2)
By (2):
[tex]t = -y[/tex]
(2) in (1):
[tex]x = (-y)^{2} + 2\cdot (-y)[/tex]
[tex]x = y^{2}-2\cdot y[/tex]
In a nutshell, the graph that represents the parametric equations is a parabola with an axis of symmetry is parallel to the x-axis.
To learn more on parametric equations, we kindly invite to check this verified question: https://brainly.com/question/9056657
Which of the following is a solution of y - x>-3?
O (62)
O (2,6)
O (2,-1)
Answer:
the ordered pair (2, 6) is the answer
Step-by-step explanation:
y - x > -3
you can use substitution for each option:
2 - 6 > -3 False, -4 is not > -3
6 - 2 > -3 True, 4 is not > -3
-1 - 2 > -3 False, -3 is not > -3
rationalise 1/√5 please tell
Answer:
Step-by-step explanation:
1/[tex]\sqrt{5}[/tex]
=1[tex]\sqrt{5}[/tex] *[tex]\sqrt{5}[/tex]/[tex]\sqrt{5}[/tex]
=1*[tex]\sqrt{5}[/tex]/[tex]\sqrt{5}[/tex]*[tex]\sqrt{5}[/tex]
=1[tex]\sqrt{5}[/tex]/5
A yield sign is an equilateral triangle with a side length of 36 inches. What is the height (h) of the sign? Leave your answer in simplest radical form.
Answer:
18[tex]\sqrt{3}[/tex] inches
Step-by-step explanation:
Applying,
Pythagoras theorem,
a²= b²+c²
Where a = hypotenus, b = base of the triangle, c = height.
make c the subject of the equation
c = √(a²-b²)................. Equation 2
From the diagram attached,
Given: a = 36 in, b = (36/2) in = 18 in
Substitute these values into equation 2
c = √(36²-18²)
c = √(1296-324)
c = √(972)
c = √(972)
c = √(324×3)
c = 18[tex]\sqrt{3}[/tex] inches
PLEASE HELPP!
A cylinder has the volume of 1000 pi show with working that if the height = 20cm then the radius = 5 cm.
Answer:
5^2 = 100
100 x 3.14 = 314
Now we multiply by 20 since it's the height.
314 x 20 = 6,280 cm^3 is your answer.
Formula of cylinder:
H x πr^2
Height x pi(3.14 or 22/7 depending what they tell you to use for pi) x radius being squared (your radius is half of your diameter or given radius).
Pam needs to spend less than $40 on her school supplies. She spends $12 on a
new calculator and wants to buy 7 binders. Write an inequality to model this
situation. Create a variable to represent unknown information. *
Answer:
(40-12)-(x·7)
Step-by-step explanation:
x is the price foreach of the 7 binders
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Fine the scale factor of the dilation.
Answer:
either 2 or 1/2, depending on what the original shape was
Step-by-step explanation:
going from small to large it is clearly visible that 3 units of side length turn into 6 units. so, the scaling factor is 2.
going from large to small it is clear that 6 units of side length turn into 3 units. so, the scaling factor is 1/2.
Use the diagram below. If m∠3 = 60°, find m∠4.
Answer:
120
Step-by-step explanation:
Write the ratio as a fraction in simplest form.
1. 8 to 14
2. 36 even : 12 odd
3. 42 vanilla to 48 chocolate
Find the unit rate.
4. $2.50 for 5 ounces
5. 15 degrees in 2 hours
6. 183 miles in 3 hours
What is the answer to all these questions?
1. 4 to 7
2. 3 even : 1 odd
3. 6 vanilla to 8 chocolate
Look at the picture!
Answer:
6 3/8 pounds (also 6.375 pounds)
Step-by-step explanation:
2 2/3 + 1 5/6 + 1 7/8 = x
8/3 + 11/6 + 15/8 = x
(multiply each fraction by to create the denominator 24)
8/3 x 8/8 = 64/24
11/6 x 4/4 = 44/24
15/8 x 3/3 = 45/24
64/24 + 44/24 = 108/24
108/24 + 45/24 = 153/24
153/24 = 6.375 = 6 3/8
Select all equations that are true!
A and C are the right equation
What is the definition of mean?
Answer:
D. It is the sum of the data divided by the number of pieces of data
Step-by-step explanation:
It's also known as the average of the numbers in a data set.
What is the definition of mean?
[tex]{\boxed{\mathcal{\red{Answer.}}}}[/tex]
[tex]D.\:It \: is \: the \: sum \: of \: the \: data \: divided \: by \: the \: number \: of \: pieces \: of \: data.[/tex]
The mean is the average of the numbers.To find the mean, we add up all the numbers, then divide by how many numbers there are.[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
To what amount will $8000 growing if it is invested for 12 years at 6% compounded quarterly
Answer:
The final balance is $16,406.01.
The total compound interest is $8,406.01
Step-by-step explanation:
take the initial balance and multiply that by the interest then take 12 and multiply that times the previous answer.
hey! i’ll give brainliest please help
Answer:
Subject
Step-by-step explanation:
Have a good day :)
Write the exponential function represented by the tables below
Step-by-step explanation:
15. f(x) = 4 (3)^x
16. f(x) = 4 (2)^-x
Here is a equation. Find x.
(2+x)5=11
Answer:
x = 0.2
Step-by-step explanation:
Distribute the 5 to (2 + x) to make it 10 + 5x = 11. You can rewrite it to make it 5x + 10 = 11 to make it easier if you want but you dont have to. Subtract the ten from both sides to make it 5x = 1. Divide both sides by 5 to get 0.2. If you want to double check your answer you can substitute 0.2 in for x in (2 + x)5 = 11 or in 5x + 10 = 11. It doesn't matter which.
solve the equation for
x 3/4(x+21) = 10.5
x =
✽✽✽✽
[tex]\frac{x\cdot \:3}{4\left(x+21\right)}=10.5[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}4\left(x+21\right)[/tex]
[tex]\frac{x\cdot \:3}{4\left(x+21\right)}\cdot \:4\left(x+21\right)=10.5\cdot \:4\left(x+21\right)[/tex]
[tex]3x=42\left(x+21\right)[/tex]
[tex]3x=42x+882[/tex]
[tex]\mathrm{Subtract\:}42x\mathrm{\:from\:both\:sides}[/tex]
[tex]3x-42x=42x+882-42x[/tex]
[tex]-39x=882[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-39[/tex]
[tex]\frac{-39x}{-39}=\frac{882}{-39}[/tex]
[tex]x=-\frac{294}{13}[/tex]
❅❅❅❅❅❅❅❅❅❅
hope it helps...have a great day!!The volume of a sphere of radius 3 cm is
(A)
9x cm
(B)
18.t cm
(C)
27 cm
(D)
36 cm
Answer:
3^3 = 27
27 * 3.14 = 84.78
84.78 * 4/3 = 113.04 is your answer.
Formula of volume of sphere is:
4/3 x π(3.14 or 22/7 whatever they tell you to use for pi) x r^3(your radius being cubed)
You get your radius by finding out what is half of your diameter or your given radius.
2. It takes Samuel 5 hour to walk a mile.
Yesterday, Samuel walked for 13 hours.
Write a multiplication equation that can
be used to find the number of miles
Samuel walked. (Example 1)
Answer:
Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
13/5
Decimal Form:
2.6
Mixed Number Form:
2 3/5
Step-by-step explanation:
pls helppp
1/2•7•24=
Answer:
84
Step-by-step explanation:
0.5 · 7 · 24
0.5 · 168
84
Answer:
84
Step-by-step explanation:
Step 1: Convert number to a fraction
[tex]24=\frac{24}{1}[/tex]
[tex]\frac{1}{2}\times \frac{24}{1}\times \:7[/tex]
Step 2: Factor the number
[tex]\:24=2\times \:12[/tex]
[tex]\frac{2\times \:12}{2}\times \:7[/tex]
Step 3: Cancel the common factor
[tex]2[/tex]
Step 4: Multiply the remaining numbers
[tex]12\times \:7\\\\= 84[/tex]
Therefore, [tex]\frac{1}{2}\times 7\times 24\:=\:84[/tex]
Given AE and BD bisect each other at point c, which congruence theorem would you use to prove triangle ABC =~ triangle EDC ?
someone please help i need to be done with 34 assignments by tomorrow
i'm a whole month behind bc there was a family emergency and i had to fly out of state but now i'm behind
NO LINKS OR FILES
Answer:
y=2(x + 2))^2 - 9
Step-by-step explanation:
So, whenever two negative signs are right next to each other, they make a positive. However, when they are alone, they stay negative.
With this, y=2(x-(-2))^2 + (-9) --> y=2(x + 2))^2 -9
Multiply and divide the following fractions. Remember to invert the divisor and then multiply the fractions.
1/2 x 2/3
1 1/2 x3/4
4/4 x 7/6
3 divided by 1/2
2/3 divided by 1/2
Answer:
1/2 x 2/3 = 0 . 3
1 1/2 x3/4 = 1. 125
4/4 x 7/6 = 1 . 27
3 divided by 1/2 = 6
2/3 divided by 1/2 = 1. 3
Step-by-step explanation:
1/2 x 2/3
= 0.33333333333
= 0 .3
1 1/2 x3/4
= 1.125
4/4 x 7/6
= 1.16666666667
= 1.27
3 divided by 1/2
= 6
2/3 divided by 1 / 2
= 1.33333333333
= 1. 3
Hope this answer helps you :)
Have a great day
Mark brainliest
Answer:
1. 5/6
2. 5/8
3. 29/44
4. 3/8
5. 2/15
6. 0.3
7. 1.125
8. 1.27
9. 6
10. 1.3
11. 345,000
12. 128,000
13. 42
14. 40
15. $365.47 and $365
16. $125.66 and $126.
Step-by-step explanation: