Answer: y = x -7
Step-by-step explanation: -x + y = 5
y = x + 5
y = x + a
-5 = 2 + a
a = -7
y = x - 7
The midpoint of GH is M(3, 6). One endpoint is H(6, 5). Find the coordinates of the other endpoint G.
The coordinates of the endpoint G is (0, 7).
The midpoint of the coordinate is the centre point which can be calculated by finding the average. So, the relation representing the endpoints and midpoint is as follows -
Midpoint (x, y) = ([tex] x_{1}[/tex] + [tex] x_{2}[/tex]/2), ([tex] y_{1}[/tex] + [tex] y_{2}[/tex]/2)
Keep the value in mentioned formula to find the endpoint G, represented as [tex] x_{1}[/tex] and [tex] y_{1}[/tex].
(3, 6) = ([tex] x_{1}[/tex] + 6/2) ([tex] y_{1}[/tex] + 5/2)
Relating the x and y values -
x value :
3 = [tex] x_{1}[/tex] + 6/2
[tex] x_{1}[/tex] + 6 = 3×2
[tex] x_{1}[/tex] + 6 = 6
[tex] x_{1}[/tex] = 6 - 6
[tex] x_{1}[/tex] = 0
y value :
6 = [tex] y_{1}[/tex] + 5/2
[tex] y_{1}[/tex] + 5 = 6×2
[tex] y_{1}[/tex] + 5 = 12
[tex] y_{1}[/tex] = 12 - 5
[tex] y_{1}[/tex] = 7
Thus, the coordinates of point G from the line GH is (0, 7).
Learn more about midpoint coordinate -
https://brainly.com/question/5566419
#SPJ9
i need 2 more please help me
Determine the range of the following graph:
Answer:
The range is the allowed values of y.
Set notation: { y | -9 [tex]\leq[/tex] y [tex]\leq[/tex] 0, y ∈ R}
Interval notation: [-9,0]
Hope that helps
The graph of f(x) is shown.
For what values of x does f(x) = 0?
A) −1, 1, 2
B) −2, −1, 1
C) −3, −1, 1
D) −1, 1, 3
Answer:
C
Step-by-step explanation:
f(x) =0
when the curve intersects the x axis
goodluck :)
X - 11 = -44 solve one step equation.
Answer: x = -33
Explanation:
Given the following question:
x - 11 = -44
Step 1: collect the like terms
x = -44 + 11
x = -33
Therefore, x = -33
Use the remainder theorem to find P (3) for P(x) = -x^4+3x^3-2x+3.
Specifically, give the quotient and the remainder for the associated division and the value of P (3).
The most appropriate choice for remainder theorem will be given by-
Quotient = [tex]-x^3-2[/tex]
Remainder = -3
What is remainder theorem?
When f(x) is divided by (x-a), the remainder will be f(a).
If the remainder is zero, (x-a) will become a factor of f(x)
Expression to be divided is called dividend, expression by which dividend is divided is called divisor, expression obtained on division is called Quotient and the other part is the remainder.
There is also a well known formula
Divisor x Quotient + Remainder = Dividend
Here,
P(x) = [tex]-x^4 +3x^3 -2x+3[/tex]
P(3) = [tex]-(3)^4+3(3)^3-2(3)+3[/tex]
= [tex]\\-81+81-6+3[/tex]
= -3
So by Remainder theorem, remainder is P(3)
So, Remainder = -3
Let the quotient be q(x)
divisor = [tex]x - 3[/tex]
We know,
Divisor x Quotient + Remainder = Dividend
[tex](x-3) \times q(x) +(-3) = -x^4 +3x^3 -2x+3\\(x-3) \times q(x) = -x^4 +3x^3 -2x+3 +3\\(x-3) \times q(x) = -x^4 +3x^3 -2x+6\\q(x) = \frac{-x^4 +3x^3 -2x+6}{x -3}\\q(x) =\frac{ -x^3(x-3)-2(x-3)}{x-3}\\q(x) = \frac{(x-3)(-x^3-2)}{x-3}\\q(x) = -x^3-2[/tex]
So, Quotient = [tex]-x^3-2[/tex]
Remainder = -3
To learn more about remainder theorem, refer to the link:
https://brainly.com/question/13328536
#SPJ9
A pedestrian is walking at a speed of 3 km/hr. Express the distance in kilometers, d, as a function of time in hours, t.
The question format : d(t) =
This is because
distance = rate*time
Rate is another term for speed.
Water is drained at constant rate of 2 gallons per minute from a fish tank containing 28 gallons of water which equation represent the number of gallons of water remaining in the tank y based on the number of minutes t since water started draining from the fish tank where 0<_t_<14?
The equation represent the number of gallons of water remaining in the tank is y = 28 - 2t
What is an equation?A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
The water remaining is illustrated as y.
The time taken is t.
The appropriate equation will be:
y = 28 - (2 × t)
y = 28 - 2t
This illustrates the water remaining in the tank.
Learn more about equations on:
brainly.com/question/2972832
#SPJ1
please try to answer quickly my brainly app is crashing
The formula to calculate the lateral area of a cone is given by
[tex]LA=pi*r*l[/tex]where
LA=10.5pi in2
r=2.1 in
l=? slant height
substitute given values
[tex]\begin{gathered} 10.5pi=pi*2.1*l \\ solve\text{ for l} \\ l=\frac{10.5pi}{pi*2.1} \\ \\ l=5\text{ in} \end{gathered}[/tex]The answer is 5 inchesDetermine which integer will make the inequality 5x + 12 > 2x + 6 false.
S:{−3}
S:{3}
S:{−1}
S:{1}
Out of the given integer(s), {−3} is the integer which will make the inequality 5x + 12 > 2x + 6 false.
As per the question statement, we are supposed to determine which integer will make the inequality 5x + 12 > 2x + 6 false
Let's solve the inequality for range of x first,
5x + 12 > 2x + 6
5x - 2x > 6 - 12
3x > -6
x > -2
So for all values of x > -2, the inequality 5x + 12 > 2x + 6 is true and for all values of x < -2, the inequality 5x + 12 > 2x + 6 false.
And out of the given options only x = -3 < -2
Hence, we accept {−3} as our required integer.
Inequality: An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way.To learn more about inequality and its properties, click on the link given below:
https://brainly.com/question/20383699
#SPJ1
Answer:
S:{−3}
Step-by-step explanation:
Got it right on a test.
Simplify the expression,
Assume all variables are positive.
Answer:
x²[tex]\sqrt{5}[/tex]
Step-by-step explanation:
using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
given
5[tex]\sqrt{20x^4}[/tex] - 3[tex]\sqrt{45x^4}[/tex]
simplify the 20 and 45 inside the radicals
[tex]\sqrt{20}[/tex] = [tex]\sqrt{4(5)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex] = 2[tex]\sqrt{5}[/tex]
[tex]\sqrt{45}[/tex] = [tex]\sqrt{9(5)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex] = 3[tex]\sqrt{5}[/tex]
Then
= 5(2[tex]\sqrt{5}[/tex] x² ) - 3(3[tex]\sqrt{5}[/tex] x² )
= 10[tex]\sqrt{5}[/tex] x² - 9[tex]\sqrt{5}[/tex] x²
= x²[tex]\sqrt{5}[/tex]
If what is the length of DF?
Answer:
DF = 13
Step-by-step explanation:
Congruent triangles:
In ΔABC & ΔDEF,
∠A = ∠D
∠C = ∠F
CB = FE
ΔABC ≅ ΔDEF {Angle Angle Side congruency}
DF = AC = 13
under what circumstances can a very small treatment effect still be significant? group of answer choices if the standard error of m (s m) is very large if the sample size (n) is very large all of the other factors are likely to produce a significant result. if the sample standard deviation (s) is very large
A minor treatment effect may nonetheless be significant under certain circumstances if the sample size is large and the sample variance is low.
What is the standard error, and sample size?The standard error calculates the discrepancy between a sample's estimate and the actual value for the population. Therefore, the standard error should be smaller the better. In fact, a standard error of zero or extremely close to it would indicate that the projected value and the actual value are identical.Sample size determination is the process of deciding how many observations or replicates to include in a statistical sample. The sample size is an important consideration in any empirical study that aims to infer information about a population from a sample.Therefore, a minor treatment effect may nonetheless be significant under certain circumstances if the sample size is large and the sample variance is low.
Learn more about the standard error here:
brainly.com/question/16555520
#SPJ4
I need help with this
Answer:
113.85
Step-by-step explanation:
230*55% because 100%-45%=55% is 126.5
Then 126.5*90% because 100%-10%=90% which is 113.85
Determine the rule for translating ABC to A'B'C'
Correct answer is A, the rule for translating ABC to A'B'C' is left 2, up 9.
What does translating a triangle mean?An example of a transformation is a translation, which moves every point in a figure uniformly and in one direction. are frequently called slides. You can use notation or words to express a translation, such as "moved up 3 and over 5 to the left."
A translation in geometry is a type of transformation that shifts a geometric figure in a certain direction without altering its size or orientation. The figures are congruent before and after the transformation since it is a type of stiff transformation.
To learn more about translation of triangles from given link
https://brainly.com/question/12861087
#SPJ10
Evaluate g(18), when g(x)=−8x+14
Answer:
-130
Step-by-step explanation:
g(18)= -8(18)+14
=-144+14
=-130
What are the The values of X and why that satisfy this equation (x+yi)+(4+9i)=9-4i
The values of x and y that satisfy the equation (x+yi)+(4+9i)=9-4i is x = 5 and y = -13 .
In the question ,
the equation is given as
(x+yi)+(4+9i)=9-4i
to find the value of x and y , we solve LHS and RHS of the equation separately
So LHS =
(x+yi)+(4+9i)
x+yi+4+9i
Adding the real and imaginary terms , we get
(x+4)+(y+9)i which is equal to RHS that is 9-4i
So , on comparing , we get
x+4 = 9 and y+9 = -4
x= 9-4 and y = -4-9
x = 5 and y = -13
Therefore , the values of x and y that satisfy the equation (x+yi)+(4+9i)=9-4i is x = 5 and y = -13 .
The given question is incomplete , the complete question is
What are the The values of X and Y that satisfy this equation (x+yi)+(4+9i)=9-4i ?
Learn more about Complex Numbers here
https://brainly.com/question/8904091
#SPJ1
Question 4(Multiple Choice Worth 1 points)
(03.01 MC)
Simplify square root of three times square root of twenty one.
square root of twenty four
square root of sixty three
three square root of seven
nine square root of seven
The Simplification of square root of three times square root of twenty one is; C: three square root of seven
How to use law of Exponents?The Laws of Exponents are;
When multiplying like bases, ensure that the base is kept the same while we add the exponents. When raising a base with a particular power to another specific power, ensure that the base is kept the same and multiply the exponents. When dividing like bases, ensure that the base is kept the same and subtract the denominator exponent from the numerator exponent.We have the expression;
√3 * √21
= √3 * √3 * √7
= (√3 * √3) * √7
= 3√7
Read more about Laws of Exponents at; https://brainly.com/question/11761858
#SPJ1
Find the value of x.
(5x − 17)°
13
132
12
48
Answer:
its 12
Step-by-step explanation:
Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and express P in the form P(x) = D(x) Q(x) + R(x).
P(x) = 3x³-4x²-3x, D(x) = 3x - 4
P(x) =
The value of Q(x) = x² - 1
R(x) = 4
What is Long Division?
Long division is a common division procedure in mathematics that may be easily performed manually and is appropriate for dividing multi-digit Hindu-Arabic numbers. It simplifies a division problem into several shorter stages.
By long Division method:
x² - 1
_______________________________
(3x - 4) | 3x³ - 4x² - 3x
3x³ - 4x²
_________________
0 - 0 - 3x
- 3x + 4
___________________
0 + 4
Q(x) = x² - 1
R(x) = 4
Hence, (3x³-4x²-3x) = (3x - 4)(x² - 1 ) + 4
To learn more about Long Division method click on the link
https://brainly.com/question/25289437
#SPJ13
Write an equation is point slope form of a line given that the slope is 2/3 and that the line goes through the point (5,-2)
Answer:
[tex](y+2)=\frac{2}{3} (x-5)[/tex]
Step-by-step explanation:
Point slope form is shown below:
[tex](y-y_1)=m(x-x_1)[/tex]
We are given the slope m = 2/3 and the point x1 = 5, y1 = -2
Simply plug in these numbers into the above equation.
[tex](y--2)=\frac{2}{3} (x-5)[/tex]
Simplify:
[tex](y+2)=\frac{2}{3} (x-5)[/tex]
An eighteen-acre building lot is five times as long as it is wide. What are its dimensions? [Note: 1 acre = 43,560 ft2.]
The dimensions of building lot are 396 feet width and 1980 feet length.
Let the width of building lot be x. So, the length of the same building lot will be 5x. According to the formula, the area will be length × width.
18 acre = x×5x
Keep the value of acre in the above mentioned relation
18 × 43,560 = 5x²
Performing multiplication on Left Hand Side of the equation
784,080 = 5x²
Performing division by 5
x² = 156,816
Now taking square root to find the value of x
x = ✓156,816
x = 396 ft
Thus, the width of building lot is 396 feet
The length of building lot = 5×396
Performing multiplication
The length of building lot = 1980 feet
Therefore, the length and width of building lot is 1980 feet and 396 feet respectively.
Learn more about area -
https://brainly.com/question/25292087
#SPJ1
C = dn or C = 2rn
(What is the radius of a circle with a circumference of 25cm?)
Hello!
Let's take this problem step by-step:
What is the formula for the circumference of a circle:
[tex]\text{Circumference} = 2\pi *\text{radius}[/tex]
Since the circumference is 25 cm
[tex]25 = 2\pi *\text{radius}\\\\\text{radius} = \dfrac{25}{2\pi }[/tex]
Answer: [tex]\text{radius} = \dfrac{25}{2\pi }[/tex]
Hope that helps!
#LearnwithBrainly
Which of the following shows the values of −0.5, −2.8, 1.9, 0.9, and −1.7 plotted on a number line?
A number line starting at negative 3.3 with tick marks every one tenth unit up to 2.1. The values for negative 2.9, negative 2, negative 0.6, 0.9, and 1.7 are plotted.
A number line starting at negative 3.3 with tick marks every one tenth unit up to 2.1. The values for negative 2.8, negative 1.7, negative 0.5, 0.9, and 1.9 are plotted.
A number line starting at negative 3.3 with tick marks every one tenth unit up to 2.1. The values for negative 3, negative 1.9, negative 0.7, 0.8, and 1.9 are plotted.
A number line starting at negative 3.3 with tick marks every one tenth unit up to 2.1. The values for negative 2.9, negative 2, negative 0.6, 0.9, and 1.9 are plotted.
The statement that shows the values of -0.5,-2.8,1.9,0.9 and -1.7 plotted on a number line is " A number line starting at negative 3.3 with tick marks every one tenth unit up to 2.1. The values for negative 2.8, negative 1.7,negative 0.5,0.9 and 1.9 are plotted."
Here the values are
-0.5,-2.8,1.9,0.9 and -1.7
The number line a graphical representation that a line on which numbers are marked at intervals, used to represents the simple numerical operations.
Here there are three negative numbers -0.5,-2.8 and -1.7
The positive numbers are 1.9 and 0.9
The statement "A number line starting at negative 3.3 with tick marks every one tenth unit up to 2.1. The values for negative 2.8, negative 1.7, negative 0.5,0.9 and 1.9 are plotted" is suited of all the given conditions
Hence, The statement that shows the values of -0.5,-2.8,1.9,0.9 and -1.7 plotted on a number line is " A number line starting at negative 3.3 with tick marks every one tenth unit up to 2.1. The values for negative 2.8, negative 1.7, negative 0.5, 0.9, and 1.9 are plotted."
Learn more about number line here
brainly.com/question/13189025
#SPJ1
Fill in the blanks to express the quantities given in ratio language. Ratios must be
expressed in simplest form.
Number of Animals in the Pet Store:
Animal Count
16 cats
8 dogs
For every __ cats in the pet store, there are __dogs.
Thu has the same amount of money automatically deposited into a new savings account each week. After 2 weeks, she has $14. After 5 weeks, she has $35. The unit rate is measured in dollars per week. What is the constant of proportionality?
For the given data of saving account, unit rate is measured in dollars per week then constant of proportionality is equal to $7.
As given in the question,
For the saving account,
Amount deposited is directly proportional to the number of weeks
Let y be the amount deposited and x be the number of weeks
y ∝ x
y = kx
'k' is the constant of proportionality
As per data unit rate is measured in dollars per week
For y = $14 then x = 2 weeks
14 = 2k
⇒ k = $7
For y = $35 then x = 5weeks
35 =5k
⇒ k = $7
Therefore, for the given data of saving account, unit rate is measured in dollars per week then constant of proportionality is equal to $7.
Learn more about constant of proportionality here
brainly.com/question/22620356
#SPJ1
help meeeeeeeeeeee pleaseeeeeeeeeeeeee!!
Answer:
Yes, is a function
Step-by-step explanation:
it does not repeat x's
the long division method to find the result when 12x^{3}+5x^{2}-27x+1312x
3
+5x
2
−27x+13 is divided by 3x-13x−1. If there is a remainder, express the result in the form q(x)+\frac{r(x)}{b(x)}q(x)+
b(x)
r(x)
(hope it makes sense)
The solution of the polynomial division 12x³ + 5x² - 27x + 13 is divided by 3x - 1 is; 4x² + 3x - 8 + (5/(3x - 1))
How to carry out Polynomial Long Division?
We want to use long division method to solve the polynomial division when 12x³ + 5x² - 27x + 13 is divided by 3x - 1.
4x² + 3x - 8
-------------------------
3x - 1 | 12x³ + 5x² - 27x + 13
- 12x³ - 4x²
-----------------------------
9x² - 27x
- 9x² - 3x
-----------------------------
-24x + 13
- -2x + 8
-----------------------------
5
-----------------------------
Expressing the solution of the polynomial division in the given quotient and remainder form gives us; 4x² + 3x - 8 + (5/(3x - 1))
Read more about Polynomial Long division at; https://brainly.com/question/25289437
#SPJ1
Select the pair that could be a reasonable approximation for the diameter and
circumference of a circle.
5 meters and 22 meters
19 inches and 60 inches
33 centimeters and 80 centimeters
Explain your reasoning.
Your answer
We know that pair (B) (19 inches and 60 inches) can be a fair estimation of a circle's diameter and circumference.
What is a circle?All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant. Simply put, a circle is a rounded shape without any edges or line segments. It has the geometric shape of a closed curve.So, let 'D' be the diameter and 'C' be the circumference.
Calculate C as:
C = πD (π = 3.14)(A) D = 5 m and C = 22 m
C = πD C = 3.14 × 5C = 15.7 mSo, C = 15.7 m does not approximate 22 m.
(B) D = 19 in and C = 60 in
C = πD C = 3.14 × 19C = 59.66 inSo, C = 59.66 approximates 60 in.
(C) D = 33 cm and D = 80 cm
C = πD C = 3.14 × 33C = 103.62cmSo, C = 103.62cm does not approximate 80cm.
Therefore, we know that pair (B) (19 inches and 60 inches) can be a fair estimation of a circle's diameter and circumference.
Know more about circle here:
https://brainly.com/question/24375372
#SPJ13
The correct question is given below:
Select all the pairs that could be reasonable approximations for the diameter and circumference of a circle. * 1 point A. 5 meters and 22 meters. B. 19 inches and 60 inches. C. 33 centimeters and 80 centimeters.
the measure of the angle of a triangle are shown in the figure below. solve for x (8x-18)° 110° 40°
Answer:
x = 6
Step-by-step explanation:
180 = (8x - 18) + 110 + 40
180 = 8x + 132
48 = 8x
6 = x
If the measure of the angle is needed:
8(6) - 18 = 30