Answer:
(2, -4).
Step-by-step explanation:
x^2 - 4x
= (x - 2)^2 - 4.
So the vertex is at
(2, -4).
Answer:
(2,-4)
Step-by-step explanation:
x²-4x
First, we need to complete the square of this quadratic.
1) Half the coefficient of x and subtract it (depends on the sign) from x. Then, square the whole expression.
(x-2)²
2) If this was to be expanded as a double bracket, we would acquire:
x²-4x+4
In order to achieve the form above, we need to subtract 4. This can be found quickly by subtracting the square of the integer from the bracket. (Ignore the sign when squaring here.)
(x-2)²-4 ------>This is in the completing the square from.
From this, the vertex is determined by using the opposite sign of the number in the bracket for the [tex]x[/tex] coordinate and the outside number is kept constant for the [tex]y[/tex]. Note that, in graph transformations, the number inside the brackets is the "opposite of what you expect"; the same logic is applied here.
Therefore, the vertex is (2,-4)
Find the slope ... ...
Answer:
-2
Step-by-step explanation:
rise over run = 4/-2 = -2
Which of the following describes the transformation from Figure 1 to Figure 2? On a coordinate plane, figure A B C D E has points (negative 3, 5), (negative 2, 5), (negative 1, 4), (negative 2, 3), (negative 5, 3). Figure A prime B prime C prime D prime E prime has points (2, 2), (3, 2), (4, 1), (3, 0), (0, 0). CLEAR CHECK translation 2 units to the right and 3 units down translation 3 units to the left and 2 units up translation 5 units to the right and 3 units down translation 5 units to the left and 3 units up
Answer:
a
Step-by-step explanation:
The transformation from Figure 1 to Figure 2 is:
The transformation of 5 units to the right and 3 units down.
Option C is the correct answer.
What is translation?It is the movement of the shape in the left, right, up, and down directions.
The translated shape will have the same shape and shape.
There is a positive value when translated to the right and up.
There is a negative value when translated to the left and down.
We have,
A B C D E has points (-3, 5), (-2, 5), (-1, 4), (-2, 3), and (-5, 3).
A' B' C' D' E' has points (2, 2), (3, 2), (4, 1), (3, 0), and (0, 0).
Now,
A = (-3 + 5, 5 - 3) to A' = (2, 2)
B = (-2 + 5, 5 - 3) to B' = (3, 2)
C = (-1 + 5, 4 - 3) to C' = (4, 1)
D = (-2 + 5, 3 - 3) to A' = (3, 0)
E = (-5 + 5, 3 - 3) to E' = (0, 0)
We see that,
There is a translation of 5 units to the right and 3 units to the down.
Thus,
The transformation of 5 units to the right and 3 units down.
Learn more about translation here:
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Which function has a greater rate of change?
[tex]\huge\bold{\purple{\bold{⚡EuroNow⚡}}} [/tex]
[tex]\huge\underline\mathtt\colorbox{cyan}{Its easy}[/tex]
The function for EuroNow has a greater rate of change
A point $P$ is randomly selected from the square region with vertices at $(\pm 2, \pm 2)$. What is the probability that $P$ is within one unit of the origin
If P = (X, Y) is a point in the given square, then X and Y are i.i.d random variables each with distribution
[tex]\displaystyle P(X = x) = \begin{cases}\dfrac14 & \text{if } -2 \le x \le 2 \\ 0 & \text{otherwise}\end{cases}[/tex]
and so the joint density of X and Y is
[tex]\displaystyle P(X = x, Y = y) = \begin{cases}\dfrac1{16} & \text{if }-2 \le x \le 2 \text{ and } -2 \le y \le 2 \\ 0 &\text{otherwise}\end{cases}[/tex]
We want to find P(X² + Y² ≤ 1). Points that satisfy this inequality lie in the set
R = {(x, y) : -1 ≤ x ≤ 1 and -√(1 - x²) ≤ y ≤ √(1 - x²)}
but we can more easily describe the region in polar coordinates by setting
x = r cos(t) and y = r sin(t)
so that the set R is identical to
R' = {(r, t) : 0 ≤ r ≤ 1 and 0 ≤ t ≤ 2π}
Integrate the joint density over R' :
[tex]\displaystyle P(X^2 + Y^2 \le 1) = \iint_R \frac1{16} \, dx \, dy[/tex]
[tex]\displaystyle P(X^2 + Y^2 \le 1) = \iint_{R'} \frac r{16} \, dr \, dt[/tex]
[tex]\displaystyle P(X^2 + Y^2 \le 1) = \int_0^{2\pi} \int_0^1 \frac r{16} \, dr \, dt[/tex]
[tex]\displaystyle P(X^2 + Y^2 \le 1) = \int_0^{2\pi} \frac{1^2 - 0^2}{32} \, dt[/tex]
[tex]\displaystyle P(X^2 + Y^2 \le 1) = \frac1{32} \int_0^{2\pi} dt[/tex]
[tex]\displaystyle P(X^2 + Y^2 \le 1) = \frac{2\pi-0}{32}[/tex]
[tex]\displaystyle P(X^2 + Y^2 \le 1) = \boxed{\frac{\pi}{16}}[/tex]
What have you learned about geometric relationships?
PLEASE HELP 15 POINTS
Answer:
that you can define a tangent relationship between a line and an arc. If the adjoining elements change, the tangent relationship is maintained between the elements. Geometric relationships control how a sketch changes when edits are made.
Step-by-step explanation:
i took this i guess and it was gud
maths lit November question paper paper 1 grade 11 2021?
Answer:
can you be more clear i dont get the question (not trying to be mean)
Step-by-step explanation:
Perpendicular to y=-2x+1, but passes through (-4,4)
1 7/8 divided by 2 2/5 if give good response = brainlist
Answer:
75/96 or in its simplest form, 25/32
Step-by-step explanation:
1. Convert both fractions into improper fractions
1 7/8 becomes 15/8 (1 × 8 = 8, 8 + 7 = 15)2 2/5 becomes 12/5 (2 × 5 = 10, 10 + 2 = 12)2. Use KFC
Keep the first fraction the sameFlip the second fractionChange the sign from ÷ to ×15/8 ÷ 12/5 = 15/8 × 5/12
15 × 5 = 758 × 12 = 9675/96 = 25/32 (divide the numerator and denomiator by 3)Hope this help!
What is the slope in the picture?
Answer:
positive; sence it's starting from the bottom and going up its positive
Help someone please just one and 2 that is all whoever answers 1 and 2 correctly, will get marked their answer the brainliest please
Answer:
Step-by-step explanation:
Select two national treasures saved by Dolley Madison.
Gilbert Stuart's portrait of George Washington
A bust of Thomas Jefferson
The Declaration of Independence
The U.S. Constitution
Answer:
Gilbert Stuart's portrait of George Washington The U.S. Constitution
Step-by-step explanation:
Answer: Gilbert Stuart's portrait of George Washington
The Declaration of Independence
Step-by-step explanation:
If the length of each side of a cuboid decreases by 20%, find the percentage decrease in its volume.
Solution : (Identify the ratio of the length of one edge of the original cuboid and the length of one edge of the new cuboid)
Answer:
Step-by-step explanation:
(1+25 /100) (1-20/100) (1-50/100) <1
5/4 x 4/5 x 1/2 <1
Decrease in volume (in percent)
(1+25 /100) (1-20/100) (1-50/100) x 100
=48.8%
PROBLEM SOLVING A boat is traveling parallel to the shore along RT. When the
boat is at point R, the captain measures the angle to the lighthouse as 35º After the
boat has traveled 2.1 miles, the captain measures the angle to the lighthouse as 70°
The exterior angle theorem states that the sum of two opposite interior angles is equal to the measure of the exterior angle.
The distance SL= 5.77 miles between the boat and the lighthouse after travelling 2.1 miles
According to the conditions given in the problem the exterior angle is 70 degrees and one of the opposite interior angle is 35 degrees.
m∠ L + m∠R= 70°
m∠ L + 35° = 70°
m∠ L = 70°-35°
m∠ L = 35°
If one interior angle is 35 degrees the other must also be 35 degrees to make a total of 70 degrees.
The sum of all angles of the triangle is always equal to 180 degrees.
So the third angle of the triangle will be
180°= 35°+35°+m ∠S
m∠S= 110°
From the triangle
Angle theta= m∠S= 110°
Fy= SL= height
Fx= RS = base
F= RL= hypotenuse
The line SL has to be found out.
Let the Fx= 2.1 miles
Then
Fx= Fcos ∅
But Cos ∅ = Cos 110°= -0.342
2.1= F (-0.342)
F= - 6.140 = hypotenuse
Now the vertical component
Fy= Fsine theta
Fy= - 6.140 sine 110°
Fy= - 6.14×0.94
Fy= -5.77 miles
The negative sign indicates that it is in the opposite direction.
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1. Mitch Hart's gross pay for this week is $425.78. He is single and claims 2 6 points
allowances. Using the percentage method of withholding, what amount
will Mitch's employer withhold from his pay for federal income tax?
Percentage Method of Withholding - Single Person
Each weekly allowance is $63.46.
Weekly Taxable The amount of income tax to
Wage
withhold is
Over But not
over
$51.00 $195.00 S0.00 plus (10% of the excess
over $51.00)
195.00 645.00 $14.40 plus (15% of the excess
over $195.00)
645.00 1482.00 $81.90 plus (25% of the excess
over $645.00)
Using the percentage method, the amount that Mitch's employer is going to withhold is $29.979
The total wage payment usually received by Mitch monthly is = $425.78Each weekly allowance is $63.46, It is noted that Mitch claims two allowances = $63.46 × 2= $126.92Now, the amount subject to withholding from his total wage payment is;
= $(425.78 - 126.92)= $298.86Provided that the weekly taxable wage is more than $195 but not up to $645; Then, by using the percentage method, the Federal income tax can be computed as:
= 15% of $(298.86 - 195) + $14.40= 15% of $103.86 + $14.40= $15.579 + $14.40= $29.979Therefore, we can conclude that the amount that Mitch's employer is going to withhold is $29.979
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HELP PLEASE I CANT FIGURE THIS OUT
Answer:
the slope is 1/4. the equation would be y=1/4x-7 I think
Step-by-step explanation:
30 POINTS GIVING BRAINLIEST PLEASE HELP! :)
Answer:
0
Step-by-step explanation:
-5(2x+6)
Let x = -3
-5 ( 2*-3 +6)
Multiply inside the parentheses
-5(-6+6)
Add inside the parentheses
-5(0)
Multiply
0
equation of the line that passes through the points (7, 6) and (-2, -3)?
Answer:
y=x-1
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through the points (7, 6) and (-2, -3)
There are 3 ways to write the equation of the line:
Slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept Point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a pointStandard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be 0, and a cannot be negativeThe most common (and usually, the easiest way) would be slope-intercept form, so let's write it that way
First, we'll need to find the slope of the line
The slope can be found using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have two points, which is needed, but let's label their values in order to avoid any confusion:
[tex]x_1= 7\\y_1=6\\x_2=-2\\y_2=-3[/tex]
Now substitute these values into the formula to find the slope (m):
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-3-6}{-2-7}[/tex]
Subtract the numbers
m=[tex]\frac{-9}{-9}[/tex]
Divide
m=1
The slope of the line is 1
So far, we can write the equation of the line as this:
y=1x+b, or y=x+b
We'll need to find b
As the equation passes through both (7,6) and (-2, -3), we can use either one of them to solve for b
Taking (7, 6) for instance, substitute 7 as x and 6 as y:
6=1(7)+b
Multiply
6=7+b
Subtract 7 from both sides
-1=b
Now substitute -1 as b:
y=x-1
Hope this helps!
What is 32/48 in simplest form?
A.2/3
B.3/4
C.4/6
--------------------------------
32/48
Divide the numerator and denominator by 16:2/3
<3
Answer:
A. 2/3
Step-by-step explanation:
32 = 2 x 16
48 = 3 x 16
32 / 48
= ( 2 x 16 ) / ( 3 x 16 )
= 2 / 3
15. Describe and correct the error in finding the intercepts of the graph of the equation.
Х
6x + 9y
= 18
6x + 9(0) = 18
6x = 18
6x + Oy 18
6(0) + 9y = 18
9y =
= 18
X = 3
y = 2
The x-intercept is at (0,3), and the y-intercept is at (2, 0).
Answer:
Wrong order!
Step-by-step explanation:
There's a reason why coordinates are called an "ordered pair", and for every point (a, b) a is the x coordinate and b is the y coordinate. The calculations are correct, the way reporting them are not: the point should be (3.0) and (0,2) - in fact, all points on the x axis are of the form (p, 0) and all points on the y axis of the form (0,q)
if x and y vary inversely and x=2.5 when y =100 find x when y=25
Answer:
x is 10.
..............
The perimeter of a rectangle measures 36 inches. If the width is 5 times the length, what is the width of the rectangle?
Answer:
the width of the rectangle is 15 inches ...
and the length is 3 inches
Answer:
180.
Step-by-step explanation:
to find this, you multiply 36 by 5, which gets you 180.
keyword: times
How many 2 digit numbers have unit digit 6 but are not perfect squares
9514 1404 393
Answer:
7
Step-by-step explanation:
Of the 9 2-digit numbers ending in 6, only 2 are perfect squares: 16 and 36. The other 7 are not perfect squares.
explain for a brainlist !!!!!!!!!!
Step-by-step explanation:
cross multiply
so it will be
2y= -1x+5
2y+x=5
thats the only part i know
PLEASE ANSWER ASAP CORRECT ANSWER GETS BRAINLIST
Solve.
2 1/3−1/2x=−2/3
Enter your answer in the box.
x =
I guess the number 2 is to indicate the question...
Then the equation would be 1/3 - 1/2x = -2/3
1/3 - 1/2x - 1/3 = -2/3 - 1/3
-1/2x = -3/3
-1/2x = -1
-1/2x *2 = - 1*2
-x = -2
-x * -1 = -2 * -1
x = 2
Good luck
Can anyone help me with this
Answer:the 3rd one
Step-by-step explanation:
what is the answer for the question A=B+C
Answer:
8=4+4
Step-by-step explanation:
$4 is what percent of 50
Answer:
8%
Step-by-step explanation:
4/50 = 0.08 = 8%
Steps to solve "what percent is 4 of 50?" If you are using a calculator, simply enter 4÷50×100 which will give you 8 as the answer.
Given: m<4 + m<7 = 180°
Prove: c ll d
I need the statements and reasons
Answer:
Ummmm... we need a picture
15 points and brainliest if right!!
Answer:
y + 5x = -7
Step-by-step explanation:
Hello there?
y + 3 = -5(x + 2)
LHS
Open the brackets
= -5x - 10
RHS remains
Combine the two:
y + 3 = -5 - 10
Collecting the like terms and taking the value of x to the LHS
=> y + 5x = - 7
I hope this helps. Have a nice studies
When determining domain it is important to work from
Answer:
use graphs
Step-by-step explanation:
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
