Answer:
True
Step-by-step explanation:
To answer this question, I will use the following illustrations.
Assume a point (x,y) is reflected across the x-axis.
Using reflection rule, the new point will be: (x,-y)
On a coordinate plane, the x-axis is represented as: (x,0)
So, we will calculate the distance between (x,y) and (x,0) and also calculate the distance between (x,-y) and (x,0) using the following distance formula.
[tex]D= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Distance between (x,y) and (x,0)
[tex]D= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
[tex]D= \sqrt{(x - x)^2 + (0 - y)^2}[/tex]
[tex]D= \sqrt{(0)^2 + (- y)^2}[/tex]
[tex]D= \sqrt{0 + y^2}[/tex]
[tex]D= \sqrt{y^2}[/tex]
[tex]D = y[/tex]
Distance between (x,-y) and (x,0)
[tex]D= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
[tex]D= \sqrt{(x - x)^2 + (0 - (-y))^2}[/tex]
[tex]D= \sqrt{(0)^2 + (0+y)^2}[/tex]
[tex]D= \sqrt{0 + y^2}[/tex]
[tex]D= \sqrt{y^2}[/tex]
[tex]D = y[/tex]
See that the calculated distance are equal.
Hence, the given statement is true
How do I expand this
Step-by-step explanation:
We have
[tex](sc^2x-1)^2[/tex]
Which is the same as
[tex](sc^2x-1)(sc^2x-1)[/tex]
To expand this polynomial, we can use the FOIL method. Meaning that we multiply the Fronts, Outsides, Insides, and Lasts together and then add each of these products.
The two fronts are [tex]sc^2x[/tex] and [tex]sc^2x[/tex],
[tex](sc^2x )(sc^2x )=s^2c^4x^2[/tex]
The two Outsides are [tex]sc^2x[/tex] and [tex]-1[/tex],
[tex](sc^2x )(-1)=-sc^2x[/tex]
The two Insides are [tex]-1[/tex] and [tex]sc^2x[/tex],
[tex](-1)(sc^2x )=-sc^2x[/tex]
The two lasts are [tex]-1[/tex] and [tex]-1[/tex],
[tex](-1)(-1)=1[/tex]
Now we just need to add these together to get
[tex]s^2c^4x^2-sc^2x-sc^2x+1\\\\s^2c^4x^2-2sc^2x+1[/tex]
Answer:
[tex]cot^{4} x[/tex]
Step-by-step explanation:
can earn 5 coins
Which of the following situations are equal to 5? Select all that apply.
A) 25% of 20
B) 10% of 50
C) 10% of 40
D) 50% of 10
E) 50% of 8
Answer:
B) 10% of 50
Step-by-step explanation:
B) 10% of 50hjxhsujwsdvnidfohiefhiedhefbeefuebfeufbeufrbfrgfeufgeudgegdeudgegdej
correct options arere A,B,D
Round the 136.501 to the whole number.
Answer:
137
Step-by-step explanation:
137 because when it's .5 or higher you round up
An eagle is flying at an altitude of 280 feet. The angle of depression from the eagle to a mouse on the ground is 15º. What is the direct line distance from the eagle to the mouse? Round answer to the nearest thousandth
Answer:
Step-by-step explanation:
X = distance between eagle and mouse.
sin(15°) = 280/x
X = 280/sin(15°) = 1,081.837 ft
Mr Lee bought 3 packs of meat for barbecue party. Each packs weighed 7 1/2 kg. The price for the meat was $3 pork. How much did Mr Lee bought?
Answer:
68.5
Step-by-step explanation:
each pack 7.5 kg
price for each pack $3
he bought 3
7.5 x 3=22.5
22.5 x3=66.5
Which of the following sets of sides does not form a right triangle?
6.8.10
8.15, 17
7.24.26
5, 12, 13?
Answer:
7, 24, 26
Step-by-step explanation:
6 squared is 36 and 8 squared is 64. Add them together and you get 100, which is 10 squared. Do the same for the other ones and you'll notice that 7 squared and 24 squared added together is 625, which is not 26 squared. In my head 25 squared is 625(check if you don't believe me) so I know that the answer is the third one. The basic formula for a right triangle is a^2 + b^2 = c^2, and that's how you find if three numbers form a right triangle or not. Hope this helps :)
Hello please help me answer :)
( WILL GIVE BRAINLST)
Answer:
Answer is given
:) mark me brainliest
pls help soon reward brainiest
Answer:
x=-6
Step-by-step explanation:
why is 60% greater than 3.75
what is the factored form of 4(3x + 12) + 4?
Answer:
12x + 52
Step-by-step explanation:
Distribute.
(4 • 3x + 4 • 12) + 4
12x + 48 + 4
12x + 52
The side length of a triangle are 6,8 and 12 are these sides of a right triangle
Answer:
Yes it a right triangle!!
Hope it helps you!!
Answer:
No
Step-by-step explanation:
6^2 + 8^2 doesn't equal 12^2
You purchased a car for $56,843. After
one year, the car is worth $51,474. How
much is the car worth in 4 years?
Answer:
$35,367
Step-by-step explanation:
Find the solution of the equation. 2(2x + 3) = -4 + 2(2x + 5)
Answer:
x = 2/3
Step-by-step explanation:
4x + 6 = 10x + 10
4x = 10x - 4
6x - 4
x = 2/3
Have a great day <3
Eight minus a number divided by three is greater than or equal to eleven
Answer:
Step-by-step explanation:
8-x/3>=11 is the equation, and the answer is:
x<= -9, so any number less than -9 is correct.
The solution is x ≤ -9
What are Inequality Equations?
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the number be x
8 - x/3 ≥ 11
Subtracting 8 on both sides , we get
-x/3 ≥ 3
Multiplying by 3 on both sides , we get
-x ≥ 9
Interchanging the sign on both sides , we get
x ≤ -9
Hence , the solution is x ≤ -9
To learn more about inequality equations click :
https://brainly.com/question/84497
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A wooden box has the shape of a rectangular prism. The inside of the box is also a rectangular prism. What is the volume of the solid part of the box? Enter your answer below.
Answer:
1242
Step-by-step explanation:
PLEASE IF U KNOW ANSWER HELP ME I NEED IT IN NEXT 10 MINUTES
Answer:
x + 2y - 3 = 0
Step-by-step explanation:
Coordinates of the points P and Q are (-3, 0) and (0, 6) respectively.
Slope of PQ = (0- 6)/(-3 - 0) = - 6/-3 = 2
Slope of line perpendicular to PQ = - 1/2
Since, required line passes through point R(7, - 2) and is perpendicular to PQ.
Therefore, equation of line in point slope form is given as:
[tex]y - (-2) = - \frac{1}{2} (x - 7) \\ \\ y + 2 = - \frac{1}{2} (x - 7) \\ \\2(y + 2) = - (x - 7) \\ \\ 2y + 4 = - x + 7 \\ \\ 2y + 4 + x - 7 = 0 \\ \\ x + 2y - 3 = 0[/tex]
Therefore x + 2y - 3 = 0 is the required equation of line.
Answer:
Answer:
x + 2y - 3 = 0
Step-by-step explanation:
Coordinates of the points P and Q are (-3, 0) and (0, 6) respectively.
Slope of PQ = (0- 6)/(-3 - 0) = - 6/-3 = 2
Slope of line perpendicular to PQ = - 1/2
Since, required line passes through point R(7, - 2) and is perpendicular to PQ.
Therefore, equation of line in point slope form is given as:
\begin{gathered}y - (-2) = - \frac{1}{2} (x - 7) \\ \\ y + 2 = - \frac{1}{2} (x - 7) \\ \\2(y + 2) = - (x - 7) \\ \\ 2y + 4 = - x + 7 \\ \\ 2y + 4 + x - 7 = 0 \\ \\ x + 2y - 3 = 0\end{gathered}
y−(−2)=−
2
1
(x−7)
y+2=−
2
1
(x−7)
2(y+2)=−(x−7)
2y+4=−x+7
2y+4+x−7=0
x+2y−3=0
Therefore x + 2y - 3 = 0 is the required equation of line.
hope it helps you
algebra work needed please help
Bethany uses the equation d = 4.25h to find the distance, d, she travels while walking for h number of hours. What is the constant of proportionality between d and h?
Answer:
4.25
Step-by-step explanation:
The distance Bethany travels is directly proportional to the number of hours she spends working
The formula for direct proportion is :
y = kx
Where k is a constant
in this question, the constant is given by 4.25
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, how many minutes would it take the slower pipe to fill the tank by itself? Your answer
Answer: 144 minutes
Step-by-step explanation:
Based on the information that has been given in the question, the minutes that the slower pipe alone can use in filling the tank can be denoted by y minutes.
Therefore, the faster pipe will fill it in 1/3 × x = x/3 minutes.
Therefore,
1/x + 3/x = 1/36
4/x = 1/36
x = 36 × 4
x = 144
The number of minutes taken by the slower pipe will be 144 minutes.
Which fraction has a repeating decimal as its decimal expansion?
3/25
3/16
3/11
3/8
what is the answer i need help what is A
Step-by-step explanation:
V=a×b×c
136/2=68in³
68in³=a×3in×3in
a=68/9
a=7.5in =x
For the inverse variation equation p=8/v what is the value of V when p = 4?
O 1/8
o 1/2
O 2
O 32
Answer:
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form
y*x=k or y= k/x
in this problem we have that
the value of the constant K is equal to 8
so
pv=8
Solve for V
v=8/p
Find the value of V for p=4
substitute the value of P in the formula
v=8/4=2
therefore
the answer is
the value of V is equal to 2
I really need help really fast!!!
Answer:
-3 sqrt 2 or -4.242640687
Step-by-step explanation:
please do them all please
Answer:
7(3 + 3x) = 21x + 21
2d + 10(4d +4 + 2a) = 20a + 42d + 40
3t + 2x + x = 3t + 3x
5(r + 12) - 25 = 5r + 35
18s + 12rs + 10r - 2rs = 10rs + 10r + 18s
s(12 - 4) + 2 = 8s + 2
w(15 - 3) + 2 + 7w = 19w + 2
Step-by-step explanation:
A computer at an electronics store costs $2,893 The tax is 6% how much money will you spend total?
Answer:
$3066.58
Step-by-step explanation:
$2893 x 1.06= $3066.58
Hope this helps!
4 = y - 4
3 = 9 - y
1 = 8 - y
2 = 9 - y
4 = y - 3
Answer: a a a a. Aa
E s. Ss s
Step-by-step explanation:
s. S s s s. S s s s s
If flx) = 2x – 6 and g(x) = x-2x?, find each value.
Answer:
The question is not correct. you have two linear functions. do you want to know their intersection point?
Step-by-step explanation:
[tex]f(x)=2x-6\\[/tex]
[tex]2x-6=0[/tex]
[tex]2x=6[/tex]
[tex]\frac{2x}{2} =\frac{6}{2\\}[/tex]
x=3
Then you just plug into g(x)
[tex]g(x)=x-2x[/tex]
[tex]g(x)=3-2(3)\\[/tex]
[tex]g(x)= 3-6[/tex]
So,
f(x)=3
g(x)=-3
The cash register subtracts $4.00 from a $20 Coffee Cafe gift card for every medium coffee the customer buys. Use the graph to write an equation in slope-intercept form to represent this situation
Jeffrey walked 1/3 mile on Monday and jogged 4/5 mile on Tuesday. How far did he walk and jog on Monday and Tuesday combined?
Answer:
Jeffery walked 1.13 miles in total.
Step-by-step explanation:
1/3 and 4/5. To solve this problem, we need to find a common denomonator.
3 and 5
LCM = 15
1/3* 5/5
5/15
4/5 * 3/3
12/15
5/15 + 12/15 = 17/15
= 1.13
what is (-2)( 3 4/7)
Answer:
-7 1/7
Step-by-step explanation:
Hope that helps!
