Answer:
D. y + 5 = -1/2(x + 3)Step-by-step explanation:
Let k: y = a₁x + b₁ and l: y = a₂x + b₂. Then
k ║ l ⇔ a₁ = a₂k ⊥ l ⇔ a₁ · a₂ = -1We have the euation of a line in point slope form:
(y - y₁) = m(x - x₁)Convert to the slope intercept form:
y =mx + by - 4 = 2(x - 6)
y - 4 = 2x - 12
y - 4 + 4 = 2x - 12 + 4
y = 2x - 8
The slope is m₁ = 2.
Let y = m₂x + b.
The lines is perpendicular. Therefore:
2m₂ = -1 |divide both sides by 2
m₂ = -1/2The line passes through the point (-3, -5).
Substitute to the point slope equation:
y - (-5) = -1/2(x - (-3))
y + 5 = -1/2(x + 3)
HELPPPPP ITS AN EMERGENCY ITS MY FINAL GRADEEEEE
click on the photo
Answer:
D
Step-by-step explanation:
2 units right 1 unit down
Good luck
Answer:
(x-2, y+1)
Step-by-step explanation:
G(0, 4) -> G'(-2, 5)
H(2, 4) -> H'(0, 5,)
E(0, 2) -> E'(-2, 3)
F(-1, 2) -> F'(-3, 3)
(PLEASE HELP!) Determine the values for the pronumerals that make the following piece-wise functions continuous.
Answer:
a = - 1b = 7Given A piece-wise function, consisting of three lines.
In order to make the function continuous, the first and second pairs of lines should have common points.
Let's find the common points.1. Intersection of the first two lines:
- x = 2 + x -2x = 2x = - 1This determines the value of a:
a = - 12. Intersection of the second two lines:
2 + x = 2x - 52x - x = 2 + 5x = 7This determines the value of b:
b = 7See the graph attached
Question 1
Use right triangle XYZ to complete the following parts.
Part A
12
XY =
30°
? Question
What is the length of XY in AXYZ?
Type the correct answer in the box. Use numerals instead of words.
units
Answer:
XY = 6
Step-by-step explanation:
using the sine ratio in the right triangle and the exact value
sin30° = [tex]\frac{1}{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{XY}{XZ}[/tex] = [tex]\frac{XY}{12}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2 XY = 12 ( divide both sides by 2 )
XY = 6
The length of the side XY in ΔXYZ is 6 units.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
In reference to the angle of 30° opposite side is XY and the hypotenuse is 12 units.
We know, sin = opposite/hypotenuse.
Therefore, sin30° = XY/12.
1/2 = XY/12.
XY = 12/2.
XY = 6 units.
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The function h(x) is given below.
h(x) = {(3, –5), (5, –7), (6, –9), (10, –12), (12, –16)}
Which of the following gives h–1(x)?
{(3, 5), (5, 7), (6, 9), (10, 12), (12, 16)}
{(–5, 3), (–7, 5), (–9, 6), (–12, 10), (–16, 12)}
{(3, –5), (5, –7), (6, –9), (10, –12), (12, –16)}
{(5, 3), (7, 5), (9, 6), (12, 10), (16, 12)}
The inverse function will be h⁻¹(x) = {(–5, 3), (–7, 5), (–9, 6), (–12, 10), (–16, 12)}. Then the correct option is B.
What is inverse of a function?Suppose that the given function is
f:X → Y
Then the inverse of the considered function will be
f⁻¹: Y → X
The function h(x) is given below.
h(x) = {(3, –5), (5, –7), (6, –9), (10, –12), (12, –16)}
Then the coordinate of the inverse function gets swapped.
h⁻¹(x) = {(–5, 3), (–7, 5), (–9, 6), (–12, 10), (–16, 12)}
Then the correct option is B.
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What value represents the vertical translation from the graph of the parent function f(x)=x² to the graph of the function
g(x)=(x+5)²+3?
Answer: 3
Reason:
Going from x^2 to (x+5)^2 means we shift the graph 5 units to the left.
The +3 at the end shifts the parabola up 3 units. This is because we add 3 to each y value. For instance a point like (0,25) moves to (0,28)
Modeling with Two- and Three-Dimensional Figures: Practice
Question 1 of 5
Select the correct answer.
A solid metal cylindrical rod has a diameter of 4 centimeters and a length of 100 centimeters. The rod weighs between 10 and 11 kilograms.
What type of metal was used?
O
O
O
Yellow brass with a density of 8.47 g/cm³
Stainless steel with a density of 7.48 g/cm³
Iron with a density of 7.87 g/cm³
Nickel with a density of 8.90 g/cm³
dhy
Answer:
Yellow Brass with a Density of 8.47 g/cm^3
Step-by-step explanation:
That's the answer on the website
If 343* = 494-x, what is the value of x?
5/8
8/5
2
8
Answer: [tex]\frac{8}{5}[/tex]
Step-by-step explanation:
343 is equal to 7 to the power of 3.
49 is equal to 7 to the power of 2.
You can then make the equation:
[tex](7^{3})^x = (7^2)^{4-x}[/tex]
The powers law means if something is to the power of something, it is multiplied.
So, we can remove the 7 and make the equation:
3x = 2(4-x)
3x = 8 - 2x
5x = 8
x = [tex]\frac{8}{5}[/tex]
You can verify this by plugging it in,
[tex]343^{8/5} = 11388.6066[/tex]
[tex]49^{4-(8/5)} = 11388.6066[/tex]
Instructions: Simplify the algebraic expression.
[tex]4(-4x-\frac{3}{2} )[/tex]
what is the polar form of -3+ v3i?
So
[tex]\\ \rm\Rrightarrow r=\sqrt{a^2+b^2}[/tex]
[tex]\\ \rm\Rrightarrow r=\sqrt{(-3)^2+(\sqrt{3})^2}[/tex]
[tex]\\ \rm\Rrightarrow r=\sqrt{9+3}[/tex]
[tex]\\ \rm\Rrightarrow r=\sqrt{12}[/tex]
[tex]\\ \rm\Rrightarrow r=2\sqrt{3}[/tex]
Find theta
[tex]\\ \rm\Rrightarrow \theta=tan^{-1}(\dfrac{y}{x})[/tex]
[tex]\\ \rm\Rrightarrow \theta=tan^{-1}(\dfrac{\sqrt{3}}{3})[/tex]
[tex]\\ \rm\Rrightarrow \theta=tan^{-1}(\dfrac{-1}{\sqrt{3}})[/tex]
[tex]\\ \rm\Rrightarrow \theta=\dfrac{5\pi}{6}[/tex]
Polar form
[tex]\\ \rm\Rrightarrow r(cos\theta+isin\theta)[/tex]
[tex]\\ \rm\Rrightarrow 2\sqrt{3}(cos\dfrac{5\pi}{6}+isin\dfrac{5\pi}{6})[/tex]
Yo! Solving linear equations with integers! These are just some practice exercises I need help with! So they should probably be simple, I need these done asap, I’d appreciate work shown C:
1) - 4 + 3x = 4 x - 8
2) -5x - 8 = 2
3) 12 r - 14 = 5 ( 2 - r )
4) 3 x - 8 = - ( 17 + 2x)
Ty!
Answer:
Step-by-step explanation:
Solving linear equation with one variable:1) -4 + 3x = 4x - 8
Add 4 to both sides
-4 + 3x + 4 = 4x - 8 + 4
3x = 4x - 4
Subtract 4x from both sides,
3x - 4x = -4x + 4x - 4
-x = -4
[tex]\sf \boxed{\bf x = 4}[/tex]
2) -5x - 8 = 2
Add 8 to both sides
-5x - 8 + 8 = 2 + 8
-5x = 10
Divide both sides by (-5)
[tex]\sf \dfrac{-5}{-5}x =\dfrac{10}{-5}[/tex]
[tex]\sf \boxed{\bf x = -2}[/tex]
3) 12r - 14 = 5(2-r)
12r - 14 = 5*2 - 5*r
12r - 14 = 10 - 5r
Add 14 to both sides
12r - 14 + 14 = 10 - 5r + 14
12r = 24 - 5r
Add 5r to both sides
12r + 5r = 24
17r = 24
Divide both sides by 17
r = 24/17
4) 3x - 8 = -(17 + 2x)
3x - 8 = -17 - 2x
Add 8 to both sides
3x - 8 + 8 = -17 - 2x + 8
3x = -9 - 2x
Add 2x to both sides
3x + 2x = -9
5x = -9
Divide both sides by 5
[tex]\sf \dfrac{5}{5}x=\dfrac{-9}{5}\\\\\boxed{x = \dfrac{-9}{5}}[/tex]
Answer:
1) x = 4
2) x = -2
3) [tex]r= \frac{24}{7}[/tex] [tex](1\frac{7}{17})[/tex]
4) [tex]x=-\frac{9}{5}[/tex] [tex](-1\frac{4}{5})[/tex]
Step-by-step explanation:
hope this helps!!
(work shown in photo :) )
whats the answer to this?
[tex](x)(x^{2} +9x+8)[/tex]
Step-by-step explanation:GCF is a way to simplify a polynomial by separating out one factor.
GCF
GCF stands for greatest common factor. This means the GCF is the largest number that is a factor of each term.
For example, the GCF of 15 and 25 is 5 because that is the greatest common factor between the 2 numbers.
Finding the GCF
To find the GCF, first look at the coefficients of each term.
In order, the coefficients are 1, 9, and 8These numbers have no shared factors besides 1, which doesn't help because factoring out 1 does nothing.
However, next, we can move on to the variables. You can factor out variables the same way you do constants.
All of the terms share a GCF of x.Factoring Out X
The question states that we only need to do GCF to solve. So, we can just factor out x. Remember that factoring is like dividing each term by x.
The completely factored expression is:
[tex](x)(x^{2} +9x+8)[/tex]Here we have divided each term by x and then added x as a new factor in the expression.
Answer:
X(x+1)(x+8)
Step-by-step explanation:
U just have to find the comment number
Could someone do this question for me? Thanks
Answer:
20 counters/box
Step-by-step explanation:
Missing counters(m)= 8
Total number of counters available (t-m)= 132
Required number of counters(t):
=(t-m) + m
= 132 + 8 = 140
Total number of boxes(tB) = 7( 6 full and one with eight missing)
Total Counters/Boxes= t/tB
= 140/7
= 20
What’s the value of x?
Answer:
the value of x is 115
Step-by-step explanation:
hope I helped
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how many times does the quadratic function below intersect the x-axis?
y=x^2+10x+25
Answer:
A. 1
Step-by-step explanation:
To find the x-intercept, substitute 0 for y and solve for x.
x-intercept(s): (-5,0)
Considering (-5,0) is the only intersection on the x-axis, 1 is your answer.
If you want a visual of this, I recommend you use the Desmos graphing calculator to input your equation. It will show you what the curved line looks like.
the expression 5 3/2 is equivalent to
to √5³
Step-by-step explanation:
[tex] = {5}^{ \frac{3}{2} } [/tex]
[tex] = \sqrt[2]{ {5}^{3} } [/tex]
[tex] = \sqrt{ {5}^{3} } [/tex]
Please don't give a long answer
2400 - 40x = 600
As she has not studied 600 flashcards still, we subtract unit rate from total.
Part B40x - 600 = 2400
Here 'x' represent per hour. As he rents studio space for 600, subtracting this from total he earns by charging his students gives us the profit.
Part C(600 + 40)x = 2400
Here 'x' represent mass. As masses are same for both. They can be joined.
Garth is packing boxes with books.the list shows how many books are in each 10 of boxes
The median of books to a box is 9 and The mean of books to a box is 11
The complete question is
Garth is packing boxes with books. The list shows how many boxes are in each of 10 boxes. 6,14,6,18,9,9,12,10,11,15
Which statement is true about the number of boxes packed to a box?
A) The median # of books to a box is 8
B) The median # of books to a box is 9
C) The mean # of books to a box is 11
D) The mean # of books to a box is 12
What is Mean and Median ?Mean is the average of the data given while the median is the middle point of the data.
It is given that
The data is
6, 14, 6, 18, 9, 9, 12, 10, 11, 15
The mean is
(6 + 14 + 6 + 18 + 9 + 9 + 12 + 10 + 11 + 15)/10 = 11
and the median is 9
Therefore Option B and C is the correct answer.
To know more about Mean and Median
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The table below shows the earnings, in thousands of dollars, for three different commissioned employees.
Who had the largest dollar amount in sales for the month of December?
a.
The salary plus commission employee.
b.
The straight commission employee.
c.
The graduated commission employee.
d.
They each had the same dollar amount in sales.
The answer to the person with the largest dollar sales in December is d. They each had the same dollar amount in sales.
What were the sales amounts in December?The sales of the salary + commission employee is:
= (4,400 - 2,000) / 3%
= $80,000
The sales of the straight commission employee is:
= 5,600 / 7%
= $80,000
The sales of the graduated commission employee is:
The amount earned on the first $40,000 is:
= 5% x 40,000
= $2,000
The rest of the sales is therefore:
= (5,200 - 2,000) / 8%
= $40,000
The total sales for this employee is:
= 40,000 for 5% commission + 40,000 for 8%
= $80,000
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6. Which equation has a slope of - 7 and contains
(-2,-2) ?
A. y-2=-2(x-7)
B. y + 2 = 7(x-2)
C. y-2=-7(x + 2)
D. y + 2 = 7(x + 2)
Answer:
so there is no answer in choice
Step-by-step explanation:
y=mx+b
so we have m,y and x so we have to find b
-2=-7×-2+b
b=-16
so y=-7x-16
the answer should be
y+2=-7(x+2)
Write down six numbers that have a median of 8, a mean of 9 and a range of 13.
Hurry please!
Answer:
5 ,6,8,8,9,18
Step-by-step explanation:
5 ,6,8,8,9,18
Range:
18-5=13
Median:
8
Mean:
5+6+8+8+9+18=54
54÷6=9
Pls help me with these =)
a) the correct expression for the perimeter of the shape is B
Which if the following rules best describes the matrix below?
a.
dilation of scale factor 2
c. reflection over the line y = x
b. reflection over the y-axis
d. translation 1 unit left and 1 unit up
Answer:
D
Step-by-step explanation:
i just know i guess
the only difference between the set of whole numbers and the set of natural numbers is that 0 is only included in the set of (circle answer)
whole numbers or natural numbers).
Answer:
Whole numbers
Explanation:
0 is a whole number, but not a natural number. Whole numbers include all natural numbers and 0.
HELP ME PLEASE!!!!! FIND Y!
Answer:
y = 139
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
110° is an exterior angle of the triangle , then
3x + 2x - 5 = 110
5x - 5 = 110 ( add 5 to both sides )
5x = 115 ( divide both sides by 5 )
x = 23
then
2x - 5 = 2(23) - 5 = 46 - 5 = 41
y and 2x - 5 are a linear pair and sum to 180° , so
y = 180 - 41 = 139
Answer:
I got 139
Someone correct me if I'm wrong.
Step-by-step explanation:
(2x-5) + 3x + 70 = 180
Collect liketerms. Take away 70 from both sides and add 5.
5x=115
x=23
2(23) -5 = 41
180-41 = 139
y = 139
Need help with number 27 asap
Answer:
Yes
Step-by-step explanation:
Yes; points X and Y are fixed under the reflection, so they must lie on the line of reflection. Since two points determine a line, the line of reflection is XY.
https://www.rcboe.org/cms/lib010/GA01903614/Centricity/Domain/1030/Reflections.pdf
.
Please helpWhich graph represents the reflection of ABC over the line x=0
Answer:
A
Step-by-step explanation:
Reflection over the x axis means that for points A, B, and C, the sign of the y value would change. Since point A is (1, 1), a reflection over the x axis means that it would become (1, -1). We can do the same for points B and C and therefore the answer is graph A
Answer: D for me at least
Step-by-step explanation: hope this helps :3
At which value(s) of x does the graph of the function F(x) have a vertical
asymptote? Check all that apply.
F(x) =X/(x-4)(x+2)
Answer:
x = 4 & x = -2
Step-by-step explanation:
For rational functions (functions which themselves are a fraction, with polynomial pieces in the numerator and polynomial pieces in the denominator), these functions have "discontinuities" anywhere the denominator is equal to zero. Usually, those discontinuities are "vertical asymptotes". Occasionally, those discontinuities are "holes".
A discontinuity is a "hole," only if both the numerator AND the denominator are zero for that same value of x. If that value of x doesn't make the numerator zero (it only makes the denominator zero), the discontinuity is just a vertical asymptote.
Finding the discontinuities:To find the discontinuities, we'll be making an entirely separate equation. It's not the function, it's not using algebra to change both sides of the equation/function we started with ... it's pretty much just like scratch work to figure out something that you can use later (although, your teacher may want to see your work on how you found them).
The equation we need for this is the denominator of our rational function set equal to zero:
[tex](x-4)(x+2)=0[/tex]
Note, this equation doesn't have a denominator. It's not the original function. It's like scratch work. This equation is designed as if we want the denominator of our function to be zero, and to find the values of x that will make us divide by zero in the original function.
There are many ways to solve this equation. The easiest is remembering the zero product property. The Zero Product property states that if the product of two things is equal to zero, then at least one of the original things had to be zero: [tex]\text{If }a*b=0,\text{ then }a=0\text{ or }b=0 \text{ (or both)}[/tex]
Noting that our equation is a product of two things, and is equal to zero, the zero product property allows us to separate our equation into two equations:
[tex]x-4=0, \text{ or } x+2=0[/tex]
Solving each equation by isolating x, by adding or subtracting the relevant number from both sides of the equations:
[tex]x=4, \text{ or } x=-2[/tex]
So these values of x will make the denominator of the original function zero. These are both discontinuities of the function, so while when we were solving for values of x that would make the denominator zero, it was appropriate to say "or", we know that both of these values are discontinuities and now we list them both saying "and":
Discontinuities: [tex]x=4 \text{ and } x=-2[/tex]
But wait! Are they holes, or are they just vertical asymptotes? Do we have one of each?
Testing to see if the discontinuities are asymptotes:
To test and see if the discontinuities we've found are holes, we need to substitute them into the numerator of the original function, and see the result.... but just the numerator (we already know they will make the denominator zero, and we can't divide by zero)
Since the numerator is just x, we're checking to see if 4=0, or if -2=0. They don't. So, for this function, both of the discontinuities are vertical asymptotes.
Listing the asymptotes
Vertical asymptotes at [tex]x=4 \text{ and } x=-2[/tex]
Add the equations. Two-Variable Systems: Elimination (question is linked with the screenshot below)
Answer:
2y = 24Given -
5x - y = (-1)
-5x + 3y = 25
To find - Summation of this
5x - y = (-1)
+ (-5x) + 3y = 25
adding both the equation we get,
5x +(-5x) - y + 3y = (-1) + 25
0 + 2y = 24
2y = 24.
Answer:
2y = 24
Step-by-step explanation:
5x – y = -1
+ - 5x + 3y = 25
2y = 24
Hence, A. 2y = 24 is the right answer.
factorise
answer is (a+c) (ca-b²)
Answer:
Step-by-step explanation:
[tex] {2}^{5} \div 4 = {2}^{5} \div {2}^{a} = {2}^{b} = c [/tex]
What Does:
a= ?
b= ?
c= ?
Step-by-step explanation:
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