Answer:
We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect.
Step-by-step explanation:
Answer:
x = 4
Step-by-step explanation:
8x = 180 - 148 [ corresponding angles are equal ]
8x = 32
x = 4
what rule changes input to output numbers
Answer:
C. 3x - 5
Step-by-step explanation:
The inputs are the values of x and the outputs are the values of y.
checking all options by placing any output as x and seeing if it gives the same output as in the table.
All options except C do not give the same output as in the table (ill show the working for option C you can do for yourself the rest ^^")
Let's take x = 4
placing it in 3x - 5
output (y) = 3(4) - 5
= 12 - 5
= 7
same as the output given in the table so the answer is C.
p(x),f(x),g(x) are parabolas with positive coefficient, each pair of parabolas got common rational root, how to proof that p(x)+f(x)+g(x) have a rational root?
Answer:
[tex]{ \tt{p(x) : {y}^{2} = 4ax}} \\ { \tt{f(x) : {(y')}^{2} = 4a {x}'}} \\ { \tt{g(x) : {(y'')}^{2} = 4ax''}} \\ { \bf{since \: they've \: a \: common \: root}} : \\ {y}^{ 2} = {(y')}^{2} = {(y'')}^{2} \\ = > { \tt{4ax + 4ax' + 4ax''}} \\ = 4a(x + x' + x'') \\ common \: root \: is \: 4a \\ { \tt{ \infin {}^{ - } \leqslant 4a \leqslant \infin {}^{ + } }}[/tex]
please help a and b
Answer:
a=144.15
median=157.5
can someone please help me..
Answer:
A. It acts perpendicular to an object
What statements are true about parallegram?
Which equation in slope-intercept form represents a line that is parallel to y=1/2x-2 and passes through the point (-8,1)?
Answer:
[tex]\displaystyle y=\frac{1}{2}x+5[/tex]
Step-by-step explanation:
We want to find the slope in slope-intercept form of a line that is parallel to:
[tex]\displaystyle y=\frac{1}{2}x-2[/tex]
And passes through the point (-8, 1).
Recall that parallel lines have equivalent slopes.
Since the slope of our given line is 1/2, the slope of our new line must also be 1/2.
We are also given that it passes through the point (-8, 1). Since we are given a slope and a point, we can use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Substitute 1/2 for m and (-8, 1) for (x₁, y₁). Hence:
[tex]\displaystyle y-(1)=\frac{1}{2}(x-(-8))[/tex]
Since we want the equation in slope-intercept form, we can isolate y. Distribute:
[tex]\displaystyle y-1=\frac{1}{2}x+4[/tex]
Therefore, our equation is:
[tex]\displaystyle y=\frac{1}{2}x+5[/tex]
I didn't get how you wrote 1.75 like how did it come there?
Answer:
Uhh what??
Step-by-step explanation:
Do you mean like 1.75 in a decimal form??
Need help for this question pleaseeee
9514 1404 393
Answer:
y = 27·x² or (a, n) = (27, 2)
Step-by-step explanation:
Taking the log (base 3) of the given equation, we have ...
[tex]\log_3(y)=n\cdot\log_3(x)+\log_3(a)[/tex]
Using the points given on the graph, we have 2 equations in n and 'a'.
3 = n·0 +log₃(a) . . . . . log₃(y) = 3, log₃(x) = 0
a = 3³ = 27
and
7 = n·2 +3 . . . . . log₃(y) = 7, log₃(x) = 2
4 = 2n
2 = n
The values of a and n are 27 and 2, respectively.
At a school concert the total value of tickets sold was $4452. Student tickets sold for $8 and adult tickets sold for $12. The number of adult tickets sold was 7 less than 4 times the number of student tickets. Find the number of student tickets sold.
Answer:
there is 81 student and 317 adults adults :) got u
Step-by-step explanation:
4452 = 8n + (4n-7)12
4452 = 8n + 48n - 84
4536 = 56n
81 = n
Which of the following inequalities matches the graph?
Answer:
second one
Step-by-step explanation:
just read where the purple line finishes on the x axis, in this case it’s 5 so it’s greater than 5 or equal to it.
Help, please answer this for me
Answer:
For this problem, we need to add to the price of the phone (50 $) the cost of the data usage (which is 0.20 $ per minute).
If he spends on average 200 minutes, we can calculate what that costs by multiplying the number of minutes by the cost of each one: 200 * 0.2 = $40
And we can now add to the $50 the $40: 50 + 40 = $90
Answer:
$40
Step-by-step explanation:
$.20×200=$40
it's pretty simple
Which equation in slope-intercept form represents a line that passes through the point (2,3) and is parallel to the line y-9=2/3(x+7)
Answer:
y=(2/3)x+5/3
Step-by-step explanation:
y-9=2/3(x+7)
y=(2/3)x+14/3+9
The slope of this line is 2/3, and if a line is parallel to this line, their slopes are the same. So the line is:
y=(2/3)x+b (where b is the y-intercept)
We can plug in the values (2,3) into this equation to find b:
3=(2/3)*2+b
3=4/3+b
b=5/3
The equation is: y=(2/3)x+5/3
Which expression is equivalent to this polynomial?
16x2 + 4
A.
(4x + 2i)(4x − 2i)
B.
(4x + 2)(4x − 2)
C.
(4x + 2)2
D.
(4x − 2i)2
Answer:
A.
Step-by-step explanation:
C and D do not create any x² terms when doing the multiplications. so, they are out.
B stands for (a+b)×(a-b) = a² - b².
so, that would give us a "-4" at the end and is not fitting to the "+4" term at the end of the original expression.
that leaves us with A.
let's verify :
(4x+2i)(4x-2i)
it follows the same rule as B :
(a+b)(a-b) = a² - b²
a = 4x
b = 2i
you remember, i = sqrt(-1).
so, we get
(4x)² - (2i)² = 16x² - 4×(sqrt(-1))² = 16x² - 4×(-1) = 16x²+4
bingo !
Answer:
Step-by-step explanation:
the answer is A
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answer:
Slope = 2/3
Step-by-step explanation:
See the image attached below.
The red line represents the "run".
The blue line represents the "rise".
Slope = rise/run
Rise = 4 units
Run = 6 units
Slope = 4/6
Simplify
Slope = 2/3
SOMEONE PLEASE HELPPP MEEEE OUTTTT!!!
Answer:
29 av
Step-by-step explanation:
what is 3 to the power of -2
Answer:
Step-by-step explanation:
To make a negative exponent positive, you have to put the term the exponent is on under a 1.
[tex]3^{-2}=\frac{1}{3^2}=\frac{1}{9}[/tex]
Help me please guys
Answer:
1st box is -4
2nd box is -4
3rd box is 3
4th box is -1
Answer: 15x squared -4x-3
rewrite the expression
15x squared + 5x-9x-3
factor the expressions
5x × (3x+1)-3(3x+1)
factor the expression
solution
(3x + 1) × (5x - 3)
Neeeeed helpppppppppp
Answer:
The answer is x = -3.
Step-by-step explanation:
To solve for (x), start by realizing that line segment IJ and line segment JK sum up to line segment IK, which equals 5. These line segments can then be turned into an equation, and the equation will look like [tex]7+x+2x+7=5[/tex].
Next, begin to solve the equation by combining like terms, which will look like [tex]3x+14=5[/tex]. Then, subtract 14 from both sides of the equation, which will look like [tex]3x=-9[/tex], and divide both sides by 3 and simplify, which will look like [tex]x=-3[/tex]. The final answer is x = -3.
Factorise 2ab+2ac. Please
Answer:
2a(b+c)
Step-by-step explanation:
Find HCF (2a)
Then factorise
Answer:
2a(b+c)
.............
if f(x)=xsquare find f inverse x
Select the equivalent expression.
(6-4.8-7)+"=?
Drag the tiles to the correct boxes to complete the pairs.Match each function to its domain
Answer:
f(x) = [tex]\sqrt{x+5}[/tex] : All real numbers greater than/equal to 5
Explanation: you can't square root negative numbers, and any number less than 5 would give us negative.
f(x) = [tex]\frac{7}{x-8}[/tex] : All real numbers except 8
Explanation: You can't divide by 0, and if we included 8 in the number set, we would get this: [tex]\frac{7}{8-8} =\frac{7}{0}[/tex] (this is impossible).
f(x) = [tex]\sqrt{2}[/tex] : All positive real numbers and 0
Explanation: Again, you can't square root negative numbers.
f(x) = 8x : All real numbers
Not much to explain for this one, any real number makes this equation true.
use the elimination method to solve the system of equations choose the correct ordered pair 7x+4y=39 2y+4y=14
[tex]x = 5 \: and \: y = 1.[/tex]
Step-by-step explanation:
[tex]7x + 4y = 39 \: - {eq}^{n} (1)[/tex]
[tex]2x + 4y = 14 \: \: - {eq}^{n} (2)[/tex]
Multiply Equation no (1) with 2 and Equation no (2) with 7.
[tex]14 x + 8y = 78.[/tex]
[tex]14x + 28y = 98.[/tex]
[tex]( - ) \: \: \: ( - ) \: \: \: ( - )[/tex]
[tex]0x + -20y = - 20[/tex]
[tex] - 20y = - 20[/tex]
[tex]y = \frac{ - 20}{ - 20} [/tex]
[tex]y = 1[/tex]
Substitute the value of "y" in Equation no (1)
[tex]7x + 4y = 39.[/tex]
[tex]7x + 4(1) = 39.[/tex]
[tex]7x + 4 = 39.[/tex]
[tex]7x = 39 - 4[/tex]
[tex]7x = 35.[/tex]
[tex]x = \frac{35}{7} [/tex]
[tex]x = 5.[/tex]
Answer:
[tex] \: 7x+4y=39 2x+4y=14 A. 5,4 B. 3,2 C. 5,1 D.[/tex]
Hope it helps
I need help ASAP !!!!
14,523 to 16,489.
What is the percent increase in the town's population? Finish the division and round to the nearest percent.
Answer:
≈ 14%
Step-by-step explanation:
percent increase is calculated as
[tex]\frac{increase}{original}[/tex] × 100%
Increase = 16489 - 14523 = 1966 , then
percent increase = [tex]\frac{1966}{14523}[/tex] × 100% = [tex]\frac{1966(100)}{14523}[/tex] ≈ 14% ( to nearest percent )
Answer:
14% :)
Step-by-step explanation:
Find mCFB
Help me please
Answer:
A
Step-by-step explanation:
<CPA = 50o Given
<FPB = 50o Vertically opposite a 50 degree angle
<CPF = 90o Given
<CPB = <FPB + <CPF Given or found
<CPB = 50 + 90 Substitute
<CPB = 140o
HURRY I NEED HELP. ASAP.
What are the coordinates of the quadrilateral STUV when reflected over the X-axis.
S(3,4), T(3,1), U(-2,1, V(-2,4)
Step-by-step explanation:
here is the answer friend
The vertex of this parabola is at (-1,-3). Which of the following could be its
equation?
(-1, -3)
O A. X=-2(y+3)2-1
B. x=-2(y - 3)2 - 1
C. X=-2(y + 1)2-3
D. X = -2(y - 1)2-3
Answer:
Step-by-step explanation:
Y equals mx plus b
if x/y=(3/5)^3÷(6/5)^0'find the value of (x/y)^2
Answer:
729/15625
Step-by-step explanation:
1. Evaluate the power
( (27/125) ÷ 1 )^2
2. divide
( 27/125 )^2
evaluate the power
( 27^2 / 125^2 )
729/15625
help asap please ----------------
Answer:
-1 Not in domain
0 In domain
1 In domain
Step-by-step explanation:
The domain for the square root function is all positive numbers including (0). The domain is the set of real numbers which when substituted into the function will produce a real result. While one can substitute a negative number into the square root function and get a result, however, the result will be imaginary. Therefore, the domain for the square root function is all positive numbers. It can simply be expressed with the following inequality:
[tex]x\geq0[/tex]
Therefore, one can state the following about the given numbers. Evaluate if the number is greater than or equal to zero, if it is, then it is a part of the domain;
-1 => less than zero; Not in domain
0 => equal to zero; In domain
1 => greater than zero: In domain