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
Write log7(2 ⋅ 6) + log73 as a single log. Log Subscript 7 Baseline 11 Log Subscript 7 Baseline 15 Log Subscript 7 Baseline 36
Answer:
C. log7 36....................................
The given logarithmic expressions together can be written as log₇ 36
What is a logarithmic function ?The logarithmic function is an expression which we can write as, y = logₐx, where a>0 & x>0, It is the inverse of exponential function.
Formulae for logarithmic function are,
LogAB = LogA + LogB
Logₐaᵇ = b
Given that,
= log₇(2 x 6) + log₇3
= log₇ 36
We have the result
log A + log B = log AB
Here the question is log₇(2 x 6) + log₇3.
Using the property of logarithm we will get,
= log₇(2 x 6) + log₇3
= log₇(2 x 6 x 3)
= log₇ 36
So, log₇(2 x 6) + log₇3 = log₇ 36
To know more about Logarithmic function check:
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Explain why the net shown here cannot be the net of a cube
Answer:
there is an extra square missing
Step-by-step explanation:
Ques
The set of values (63, 64, 65, 66} represents solutions of which inequality?
Answer: 63 < N ≤ 66
Step-by-step explanation:
We have the set:
(66, 64, 65, 66]
First.
When we have an end with the signs "(" or ")" means that the element near the sign does not belong to the set, this would be an "open" end. Usually used for the symbols > and <
While the sign "[" or "]" (in some cases the symbols { and } are used instead)
means that the value next to it are included in the set. Usually used for the symbols ≤ and ≥.
Then in the set: (63, 64, 65, 66} the value 63 does not actually belong, and value 66 does belong.
Then this set is written as:
63 < N ≤ 66
Such that N is an integer number.
what is the factored form of 3/4(24x + 28) - (4x - 1)?
Answer:
2(7x + 11)
Step-by-step explanation:
3/4 ( 24x + 28) - (4x - 1) = 18x + 21 - 4x + 1 = 14x + 22 = 2(7x + 11)
Answer:
2(7x + 11)
Step-by-step explanation:
3/4 (24x + 28) - (4x - 1)
= 18x + 21 - 4x + 1
= 14x + 22
= 2(7x + 11)
Please give me brianliest and follow me if you want me to help you always
What is 0.3709 rounded to 2 decimal places?
Answer:
If its to the left the answer is 1 and if its to the right the answer is 10 i think
Step-by-step explanation:
sorry if its wrong
Factor completely by grouping: 6x² + 2x + 9x +3
is
Answer:
(2x+3)(x+1)
Step-by-step explanation:
6x² + 2x + 9x +3
(6x² + 2x) + (9x +3)
2x (x+1) + 3 (x+1)
(2x+3)(x+1)
Answer:
(3x+1) ( 2x+3)
Step-by-step explanation:
6x² + 2x + 9x +3
Make the groups
6x² + 2x + 9x +3
Factor 2x out of the first group and 3 out of the second group
2x( 3x+1) + 3(3 x+1)
Now factor out the common term inside the parentheses
(3x+1) ( 2x+3)
can somebody please help kinda low on point so i would be greatful for real answers no fake!
Answer:
I think it would be the Thrid Option if its talking about a Can of Soup. Most cans Of soup are measured in Ounces for Whats contained inside.
Is 4x+1=f(x) a quadratic function?
Answer: no
Step-by-step explanation:
the x has to be squared to form a parabola with a vertex and 2 x intercepts
Now practice solving some problems.
Find the solution of y = –3x – 1 for x = –5.
A.
(–5, –16)
B.
(–16, –5)
C.
(–5, 14)
D.
(14, –5)
Answer:
The answer is C. (-5, 14)
Evaluate 3n + 4^2 when n = 2
Answer:
22
Step-by-step explanation:
3n + 4^2
n = 2
3(2) + 4^2 = 6 + 16 = 22
please help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The solution is -3.
The graph is attached.
Step-by-step explanation:
To solve, first subtract 2 from both sides to get [tex]5q\geq -15[/tex]. Now divide 5 from both sides to get [tex]q\geq -3[/tex].
The graph representing this is attached.
Hope it helps and is correct!
please help i dont know 7th grade math cry
Answer:
so.. this means that they're equal...
so.. 8 + x = 35
u need to solve for x...
so u do, 35 - 8 = 27
so it would be..
and 27 divide 3 = 9
so x = 9
so the equation would be...
(3 x 9 + 8) = 35
SO, the answer is 9
Step-by-step explanation:
can I have brainliest please? hee hee
Cole learned that newly-minted
coins are put into bags. The
mint puts 2,000 half-dollar
coins into 1 bag. What is the
value of 11 bags?
Answer:
11000 dollars.
Step-by-step explanation:
Interesting question.
1 bag has 2000 half dollars in it.
2000 half dollar coins have a value of 2000 * 1/2 = 1000 dollars.
11 bags = 1000 * 11 = 11000 dolars.
18/20 + 12/20 (simpfiy it )
Answer:
1 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Add the numerators and keep the same denominator.
18/20 + 12/20 = 30/20
30/20 = 1 [tex]\frac{1}{2}[/tex]
Which statement(s) describe parallel lines? Choose ALL that apply.
A. Parallel lines never cross or meet.
B. Parallel lines create a 90 degree angle.
C. Parallel lines intersect.
Parallel lines never cross or meet
8.
Find the slope of the line.
A. 0
B. -2
C. Undefined
D. 2
Answer:
C. Undefined
Step-by-step explanation:
Input Data :
Point A
(
x
A
,
y
A
)
= (2, 5)
Point B
(
x
B
,
y
B
)
= (2, -2)
Objective :
Find the slope of a line that passes through points A and B.
Formula :
Slope
m
=
y
B
−
y
A
x
B
−
x
A
Solution:
Slope
m
=
−
2
−
5
2
−
2
=
−
7
0
m = -INF
Answer:
The answer is C (Undefined)
Step-by-step explanation:
A vertical slope is undefined because it rises and never runs up/down is rise and left/right is run. Rise/Run. 4/0. Four divided by zero is undefined while 0 divided by 4 is zero.
What is the slope of the line?
y + 2 = -2 ( x - 3 )
A: -1/2
B: -2
C: 1
D: -1
D:) o b what ? you very whell
Step-by-step explanation:
A b. d. c
Answer:
The answer is -2
Step-by-step explanation:
I got this answer on Khan Academy.
Hope this helps! :)
How do I factor -2y+2y^2-24
Find the sum:
15.07 +22.8
a. 37.01
b. 37.1
c.37.87
d. 37.78
Help!!! 30 Points!!!
Answer:
45,90,135,180,225,270,315,360
Step-by-step explanation:
Answer:
45,90,135,180,225,270,315,360
Step-by-step explanation:
Hope this helps :)
PLZZZZZZZZZZZZ HELPpppppp
Answer:
2x2-y=1
4-y=1
-y=1-4
-y=-3
y=3
Step-by-step explanation:
Can someone please help me and explain
will a one variable equation always have only one solution
Answer:
Every linear equation that is a conditional equation has one solution. However, not every linear equation in one variable has a single solution. There are two other cases: no solution and the solution set of all real numbers. ... Therefore, the equation is always true.
Step-by-step explanation:
We want to see if a one-variable equation always has only one solution.
This is false, as one-variable equations can have no solutions or more than one solution.
So we start with the statement:
"A one-variable equation always has only one solution".
We need to find a counterexample to prove that this is false, and there are really easy counterexamples, like:
x^2 - 4 = 0
This is a one-variable equation, and solving it we have:
x^2 = 4
x = ± √4 = ±2
So here we have two solutions, 2 and -2, thus the statement is false.
If you want to learn more, you can read:
https://brainly.com/question/16797952
In ΔSTU, u = 40 inches, ∠S=73° and ∠T=71°. Find the length of t, to the nearest inch.
Answer: 64 inches
Step-by-step explanation: Solve using sohcahtoa for missing info
help please i’ll give extra points
Evan is going to invest in an account paying an interest rate of 6.1% compounded
continuously. How much would Evan need to invest, to the nearest ten dollars, for
the value of the account to reach $7,800 in 14 years?
Answer:3320
Step-by-step explanation:
Someone plz help me I will give brainliest
Answer:
Step-by-step explanation:
5. 3/4 +3/4 + 3/4 + 3/4 + 3/4 + 3/4 = (6 x 3)/4 = 18/4 = 4 1/2
6. 16 x 3 x 1/8 = (48x 1)/8 = 48/8 = 6
7. 500 x 2/5 = 500 x 2 x 1/5 = (1000 x 1)/5 = 1000/5 = 200
ratio 11 to 6 in perimeter
Answer: the answer will be 6/4
Step-by-step explanation:
An employee earned $10.00 per hour and then received a raise that paid
him $12.50 per hour. What is the percent change in the amount of money
he makes per hour. ?
Answer:
25% pay raise
Step-by-step explanation:
12.50-10.00=2.50
2.50/10.00=1/4
1/4=25%
Harry got a raise. He now makes 105% of his old salary.
If his old salary was $55,000, what is his new salary?
helppp
Answer:
we simply do - 55,000*105/100
Which is 55,000*1.05
And that is 57750
So his new salary is $57750
Thanks and mark me brainliest becuz i have good answer :)