The equation of the parallel line is y = x + 2.
What is Equation of line?
The equation of line with slope m and y intercept at point b is given as;
y = mx + b
Given that;
The point = C(4, 6)
And, equation of line is y = x + 7
Since, Slope of Parallel lines are always same.
So, The slope of the given line is calculated as;
y = x + 7
m = dy/dx = 1
Thus, Slope of parallel lines is 1.
Since, The equation of line is passes through point C (4, 6).
So, The equation of line with slope(m) 1 and point C(4, 6) is;
y - 6 = 1 (x - 4)
y - 6 = x - 4
y = x - 4 + 6
y = x + 2
Thus, The equation of the parallel line is y = x + 2.
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Simplify m^9 m^−3.
A. -m^12
B. 1 / m^27
C. 1 / m^6
D. m^6
I will the law of exponents:
[tex]x^{n} *x^{m} \\=x^{n+m}[/tex]
⇒[tex]=m^{9+(-3)} \\=m^{9-3}\\ =m^{6}[/tex]
Option D is the answer
What symbol makes -3/4 and -11/12 a true sentence?
Answer: -3/4>-11/12
Step-by-step explanation:
its a negative so there's more of the -3/4 than the -11/12 because the -11/12 is 2 more units below the -3/4
What integer would represent a withdrawal of $170?
Answer:
-170
Step-by-step explanation:
we are withdrawing so minus from original amount
The segments shown below could form a triangle?
Answer:
yes
Step-by-step explanation:
it would form a acute triangle.
Given points J(3,4), A(7.5), and R(5,2), graph AJAR and its reflection image across the given line.Rx-axis
By reflection triangle JAR across x- axis, we get
By comparing the given options, we can see that the answer is option D
25 > w - 7 solve the inequality for w and simplify your answer as much as possible
Step-by-step explanation:
so when we have 25> w -7 we must move the
-7 to the 25 for the w to stand on it own so
25+7 > w
32 > w
Hello! What graph could be used to find the solutions to the system of equations? Thanks for your help!
The Solution:
Given:
[tex]\begin{gathered} y=\frac{2x-2}{x-3} \\ \\ x-y=1 \end{gathered}[/tex]Required:
To determine the graph that represents the given system.
Below is the graph of the given system:
Therefore, the correct answer is [ option 2 ]
2 10) (x y2)4. 2x (2xy-2) y4 A) DP B) +3 8714 1 C) D) 4xºy 2x7 y? 2
We have to solve this expression:
[tex]undefined[/tex]) Write 2350 million in standard form.
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
5, 2, 5/3
Find the 10th Term
Answer:
-22
Step-by-step explanation:
10=a+9d
the first term is 5 and the common difference is -2
a=5
common difference=-3
5+9(-3)
5+(-27)
5-22
answer is -22
Help with 4.), 5.), 8.), 10.), 12.) ? It due at 8:00, it’s 5:12 rn
Answer:
see explanation
Step-by-step explanation:
(4)
6 = hj + k ( subtract k from both sides )
6 - k = hj ( isolate j by dividing both sides by h )
[tex]\frac{6-k}{h}[/tex] = j
(5)
[tex]\frac{v}{w}[/tex] = 9 ( multiply both sides by w to clear the fraction )
9w = v ( divide both sides by 9 )
w = [tex]\frac{v}{9}[/tex]
(8)
A = [tex]\frac{1}{2}[/tex] bh ( multiply both sides by 2 to clear the fraction )
2A = bh ( divide both sides by h )
[tex]\frac{2A}{h}[/tex] = b
(10)
V = [tex]\frac{1}{3}[/tex] πr²h ( multiply both sides by 3 to clear the fraction )
3V = πr²h ( isolate h by dividing both sides by πr² )
[tex]\frac{3V}{\pi r^2}[/tex] = h
(12)
V = πr²h ( isolate r² by dividing both sides by πh )
[tex]\frac{V}{\pi h}[/tex] = r² ( take square root of both sides )
[tex]\sqrt{\frac{V}{\pi h} }[/tex] = r
2. Expand each of the following functions in ascending powers of x up to the term in
x³. In each case state the values of x for which the expansion is valid.
Values of x in ascending orders is shown below.
What are exponents?The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 2³) signifies 2 x 2 x 2 = 8. 2³ and 2 x 3 = 6 are not equivalent. Keep in mind that any number is itself when raised to the power of 1. Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion. To illustrate 3 x 3 x 3 x 3 in a straightforward manner, for instance, we could write it as 34, where 4 is the exponent and 3 is the base. It is claimed that the entire statement 34 has power.
Given Data
Expanding the exponents,
[tex]\sqrt{4+x}[/tex]
[tex]4^{1/2}[/tex] + [tex]x^{1/2}[/tex]
2) [tex]\frac{1}{2+x}[/tex]
2⁻¹ + x⁻¹
3) (3-2x)⁻²
(9)⁻¹ - 4x⁻²
4) (8 - 3x)¹⁾³
2 - [tex]3x^{1/3}[/tex]
In Ascending order,
(3-2x)⁻², [tex]\frac{1}{2+x}[/tex] , ([tex]8-3x^{1/3}[/tex]) , [tex]\sqrt{4+x}[/tex]
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What is equivalent to 4x-3y=15
Answer: y = 4/3 x - 5
Step-by-step explanation: trust me
ignore the 7. Appreciate if its done quickly. No need to graph. Just solve inequality
Answer:
[tex]x \leq -1[/tex]
Step-by-step explanation:
divide both sides by -4
-2 >= x - 1
(FLIP THE INEQUALITY!!!)
now add 1 to both sides
-1 >= x
flip the equation
x <= -1
that is your answer
Need help ASAP! will give brainliest!
Answer:
first one.
Step-by-step explanation:
the slope of the line is the rise over run, in triangle STU this is 3 over 2
in triangle FED this is 6 over 4, which simplifies to 3 over 2
proving that the slope of the line is constant.
Question 8 of 10Which is not a characteristic of the linear parent function?A. The range is positive real numbers (y> 0).B. It goes through the origin.OC. It has a slope of 1.OD. The domain is all real numbers.SUBM
Let's determine the statement which is not a characteristic of the linear parent function.
The linear parent function has the form:
[tex]y=x[/tex]We have the graph below:
The function has the following properties:
• The line goes through the origin.
,• It has a range of all real numbers
,• It has a domain of all real numbers
,• It has a slope of 1.#
Therefore, the statement which is not a characteristic of the linear parent function is:
• The range is positive real numbers (y > 0).
ANSWER:
• A. The range is positive real numbers (y> 0)
Determine if 0.59136363636363636... is rational or irrational and give a reason for your answer.
Need answer ASAP
Based on the given number which is 0.59136363636363636, we can infer that this is a rational number because it is repeating.
How to know a rational number?A rational number is a number that when the denominator divides the numerator, the result is a decimal that is either terminating, or repeating. This means that the decimal will either stop at some point, or will keep repeating the same numbers.
The number, 0. 59136363636363636, is a rational number because it is a repeating decimal.
The part that is repeating is "63636" so this is a rational number.
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The given recurring decimal 0.59136363636 is a rational number.
Given that,
To determine whether the given recurring decimal value is rational or irrational.
Rational numbers are numbers that can be structured in the form of the fraction of integers. Eg- 5/6, 2/3 etc.
Here,
The given recurring decimal = 0.591363636
From the above definition,
A rational number is a number that does have a repeating value after a certain value beyond the decimal point, unlike an irrational number that has repetition just after the decimal point.
So, the given number 0.59136363636 = 0.591 + 0.000363636
It is a rational number because it has repetition after 591 of 36 frequently.
Thus, the given recurring decimal 0.59136363636 is a rational number.
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On Tuesday, the mailman delivers three check for $5 and two bills for $2 each. If you had a starting balance of $25, what is the ending balance?
If f(x)= x³+4x² - 15-18 and a + 1 is a factor of f(x), then find all of the
zeros of f(x) algebraically?
Answer:
I believe you typed that wrong.
The third term should be -15X
And the 3 answers are 3 -6 -1
Step-by-step explanation:
Answer: x=-1 x=-6 x=3
Step-by-step explanation:
[tex]f(x)=x^3+4x^2-15x-18[/tex]
Let's isolate the multiplier (x+1) from the expression x³+4x²-15x-18 :
[tex]x^3+4x^2-15x-18=\\\\x^3+x^2+3x^2-15x-18=\\\\x^2(x+1)+3(x^2-5x-6)=\\\\x^2(x+1)+3(x^2+x-6x-6)=\\\\x^2(x+1)+3(x(x+1)-6(x+1))=\\\\x^2(x+1)+3(x+1)(x-6)=\\\\(x+1)(x^2+3(x-6))=\\\\(x+1)(x^2+3x-18)[/tex]
Decompose the polynomial х²+3х-18 into factors:
[tex]x^2+3x-18=\\\\x^2+6x-3x-18=\\\\x(x+6)-3(x+6)=\\\\(x+6)(x-3)[/tex]
[tex]Thus,\\\\x^3+4x^2-15x-18=(x+1)(x+6)(x-3)\\\\[/tex]
[tex](x+1)(x+6)(x-3)=0\\\\x+1=0\\x+1-1=0-1\\x=-1\\\\x+6=0\\x+6-6=0-6\\x=-6\\\\x-3=0\\x-3+3=0+3\\x=3[/tex]
what is the probability that maximum speed differs from the mean value by at most 2.5 standard deviations? (round your answer to four decimal places.)
The probability that maximum speed differs from the mean value by at most 2.5 standard deviations is 0.8473
Let the required probability that the maximum speed of mopeds differs from the mean speed by 2.5 standard deviations be given by P(U±2.5).
Mean speed U =46.7km/hr
P(46.7±2.5) = (44.2<= X <=49.2)
= P( 44.2<= Z <= 49.2)
= P(44.2 - 46.7/1.75 <= Z <= 49.2- 46.7/1.75)
= P( - 1.4286 <= Z <= 1.4285)
= P(1.4285) - P(-1.4285)
= P(1.43 ) - P(-1.43)
= 0.92364 - 0.07636
= 0.8473
Thus the probability that maximum speed differs from mean value by at most 2.5 standard deviations is 0.8473
the question is incomplete and the full question is "Mopeds (small motorcycles with an engine capacity below 50 cm3) are very popular in Europe because of their mobility, ease of operation, and low cost. Suppose the maximum speed of a moped is normally distributed with a mean value of 46.7 km/h and a standard deviation of 1.75 km/h. Consider randomly selecting a single such moped
What is the probability that maximum speed differs from the mean value by at most 2.5 standard deviations? (Round your answer to four decimal places.) You may need to use the appropriate table in the Appendix of Tables to answer this question"
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Plsss help I don’t know if “B” is right so plsss help me
Answer:
it is C
Step-by-step explanation:
it cannot be A or B because ether angles 2 or 3 would have to be an obtuse angle, which neither of them is. So, this leaves C and D. It is not D because angles 2 and 3 are not corresponding (angles 2 and 4 are). This leaves option C as the only answer.
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If you borrow $200 for 12 years atan annual interest rate of 2%, howmuch will you pay altogether?
$248
Explanations:
Let the money borrowed be the Principal, P = $200
Interest rate, R = 2%
Number of years, T = 12 years
The total amount to pay back will be:
Amount = Principal + Interest
Let us calculate the Interest, using the formula:
[tex]\begin{gathered} \text{Interest = }\frac{PRT}{100} \\ \text{Interest = }\frac{200\times2\times12}{100} \\ \text{Interest = 2}\times2\times12 \\ \text{Interest = 48} \end{gathered}[/tex]Interest = $48
Amount = Principal + Interest
Amount = $200 + $48
Amount = $248
You will pay back $248 altogether
arabella graphed the following systems equations. she says that (0.5,2.5) is the solution.
what is one way you can use substitution to see if Arabella is correct
substitute __ for ___
Answer:
4x y
Step-by-step explanation:
136/12 times 12 = ?
Anyone here have pinterest.....
Answer:
136 divided by 12 you get 11.3 times 12 you get 136
Answer:
(136÷12) × 12 = 136
Step-by-step explanation:
You start with the numbers in the parentheses ( which look like "( )" ), which is 136÷12 which is 11.3
1.) 136÷12=11.33
Then you multiply it by 12 which will get you 136.
2.) 11.33× 12=136
Your final answer will be 136
Have a nice day!
16 is a what percen of 200
Answer:
32
Step-by-step explanation:
PLEASEEE HELP ME ON THIS QUESTION! I HAVE TO SUBMITTHIS IN A BIT PLEASE HELP! :))
Answer: 196.5 lbs
Step-by-step explanation:
[tex]237-9(4.5)=196.5[/tex]
As a children's librarian, Jodi Hassam earns $15.35 per hour plus time and a hall for weekend work Last week she worked her regular 40 hours plus 16 hours on the weekend. What was her total pay for the week?
Answer:
Jodi's total pay for the week is $ 982.40
Step-by-step explanation:
if a vector a has components ax < 0, and ay > 0, then the angle that this vector makes with the positive x-axis must be in the range group of answer choices 180° to 270° 0° to 90° 270° to 360° it cannot be determined without additional information. 90° to 180°
The angle vector 'a' makes with the positive x-axis is 90° to 180°.
What is a vector?A vector is a quantity that has magnitude as well as direction one such example of this is velocity where we describe speed and direction also.
Given a vector a with two components one in the x direction and another one in the y direction.
The x component of the vector ax < 0 which is on the 2nd quadrant and the y component of the vector is ay > 0 which we join to the tail of the component ax.
∴ The angle it makes with the positive x-axis is 90° to 180° as it is on the second quadrant.
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What kind of transformation converts the graph of f(x)=3x+9 into the graph of g(x)=3x–10?
Answer:
See below
Step-by-step explanation:
To get from +9 to -10 you will need to shift DOWN 19 units
I need help doing this, I dont really know how. show work
Check the picture below.