will mark brainliest to the first answer correct (include step by step)
Angle 4 is on a straight line with angle 2 meaning that the angle 4 plus Angle 2 is 180 degrees:
Angle 2 + Angle4 = 180
72 + Angle 4 = 180
Angle 4 = 108 degrees
Hope that helps!
umm what do the letters m and b mean in y=mx+b ?
m = slope of the line
b = y-intercept of the line
b = y-intercept of line
m = slope of line
Hope this helps! Have a nice day! God bless and stay safe.
Can someone please explain how to get the answer I've watched multiple videos on implicit derivatives and I still cant figure it out.
We're given the implicit equation
x² + 2x + y² - 4y = 12
where "implicit" means that one of the variables is considered a function of the other. In this case, the variable y = y(x) depends on the value of the variable x - in other words, the possible values of y are implied by the value of x. We then say that this equation defines y as an implicit function of x.
We're also given the implicit derivative,
dy/dx = (-2x - 2)/(2y - 4)
which tells us the rate of change y as a function of both x and y. The value of dy/dx corresponds to the slope of the tangent line to the curve defined by the implicit equation above at some point (x, y).
The tangent line is horizontal when its slope is zero. This happens when
(-2x - 2)/(2y - 4) = 0
If y ≠ 2, then we can eliminate the denominator and we're left with
-2x - 2 = 0
Solve for x :
-2x = 2
x = -1
This tells us that the points on the curve with x-coordinate -1 have a tangent line to the curve that is horizontal.
The tangent line is vertical when its slope is undefined/infinite, or equivalently when the denominator of dy/dx is zero:
2y - 4 = 0
Solve for y :
2y = 4
y = 2
So any point on the curve with y-coordinate 2 will have a tangent line there that is vertical.
By completing the square in the implicit equation, we can easily identify where these points are located.
x² + 2x + y² - 4y = 12
x² + 2x + 1 + y² - 4y + 4 = 17
(x + 1)² + (y - 2)² = 17
This equation defines a circle centered at (-1, 2) with radius √17. When x = -1, we have
(y - 2)² = 17 ⇒ y = 2 ± √17
and when y = 2, we have
(x + 1)² = 17 ⇒ x = -1 ± √17
See the attached plot to see the circle and the tangents at these points.
I WILL AWARD BRAINLIEST
Answer:
Option A is the correct answer.
Step-by-step explanation:
First, look at the second equation. Get s and r onto the same side.
For simplicity, I will use x for r and y for s
Multiply the first equation by 3, and multiply the second equation by -4.
3(2x+8y=−4)
−4(7x+6y=8)
Becomes:
6x+24y=−12
−28x−24y=−32
Add these equations to eliminate y:
−22x=−44
x=2=r
Now we substitute this back in for the original equation
(2)(2)+8y=−4
8y=-8
y=-1=s
Option A is the correct answer.
four times the sum of a number n and five is equal to 100. find n
Answer:
N=20
Step-by-step explanation:
f(x) = (x + 2)²
f(5) = ?
»f(x) = (x + 2)²
»f(5) = (5 + 2)²
»f(5) = 7²
»f(5) = 49✅
~Hello! I will try to help you!
•Given : -
f(x) = (x + 2)² f(x) = (x + 2)(x + 2) f(x) = x² + 4x + 4•To Find : -
f(5) = ?•Step-by-step explanation : -
[tex] \Rightarrow \sf f(x) = {x}^{2} + 4x + 4[/tex]
»Just substitute the value 5 into the function f(x) above, then:-
[tex] \Rightarrow \sf f(5) = {5}^{2} + 4(5) + 4 \\ \Rightarrow \sf f(5) = 25 + 20 + 4 \\ \Rightarrow \sf f(5) = \bf49[/tex]
With this it's done!
Below are the line plots for two data sets.
Find the mean of each data set.
Mean of data set A:
Mean of data set B:
Answer:
Data set A mean = 4
Data set B mean = 6.5
Step-by-step explanation:
Data set A:
3(3) + 4(2) + 5(3) = 32
32/8 = 4
Data set B:
5(4) + 6(4) + 7(4) + 8(4) = 104
104/16 = 6.5
Data set A mean = 4
Data set B mean = 6.5
a
Find all the missing elements:
B
A = 50°
C = 35°
А
с
b = 13
b
B = [?]° a = [] c=[ ]
a = C
Answer:
Step-by-step explanation:
B = 180 - 50 - 35 = 115 degrees
By the law of sines,
[tex]c=\frac{13\sin 35^{\circ}}{\sin 115^{\crc}}[/tex]
And [tex]a=\frac{13\sin 50^{\circ}}{\sin 115^{\circ}}[/tex]
Answer:
B=95 a= 10 c= 7.5
1 quart=4 cups (whats the answer?)
Answer:
1quart 4cups =8quatcups
Step-by-step explanation:
thanks:)
Answer:
9
Step-by-step explanation:
2*4 + 1 = 9 cups
solve for x: -3(x-2)^2 + 17 =0
Before doing the question, let's recall the quadratic formula which is used to find the roots of a quadratic equation ;
For any quadratic equation of the form ax² + bx + c = 0 , it's roots are given by the quadratic formula as :
[tex]{\boxed{\bf{x=\dfrac{-b\pm \sqrt{D}}{2a}}}}[/tex]Where , D = b² - 4ac (Discriminant)
Now , simplifying the equation :
[tex]{:\implies \quad \sf -3\{(x)^{2}+2^{2}-2\times 2\times x\}+17=0\quad \qquad \{\because (a-b)^{2}=a^{2}+b^{2}-2ab\}}[/tex]
[tex]{:\implies \quad \sf -3(x^{2}+4-4x)+17=0}[/tex]
[tex]{:\implies \quad \sf -3x^{2}-12+12x+17=0}[/tex]
[tex]{:\implies \quad \sf -3x^{2}+12x+5=0}[/tex]
Dividing both sides by -1 will yield :
[tex]{:\implies \quad \sf 3x^{2}-12x-5=0}[/tex]
Now , it's in the form of the standard quadratic equation , where a = 3 , b = -12 , c = 5 , and D = (-12)² - 4 × 3 × -5 = 144+60 = 204
Now, By quadratic Formula ;
[tex]{:\implies \quad \sf x=\dfrac{-(-12)\pm \sqrt{204}}{2\times 3}}[/tex]
[tex]{:\implies \quad \sf x=\dfrac{12\pm 2\sqrt{51}}{2\times 3}}[/tex]
[tex]{:\implies \quad \sf x=\dfrac{\cancel{2}(6\pm \sqrt{51})}{\cancel{2}\times 3}}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{x=\dfrac{6\pm \sqrt{51}}{3}}}}[/tex]
Triangle RST, with vertices R(2,3), S(6,7), and T(4,8), is drawn inside a rectangle, as
shown below.
10
9
T
00
8
2
6
6
V
5
3
4
R
2
-2
-1
2
3
4
5
8
9
10
What is the area, in square units, of triangle RST?
Answer:
Step-by-step explanation:
The area of the larger rectangle is (4)(5)=20.
The area of the top left right triangle is (1/2)(2)(5)=5.
The area of the top right right triangle is (1/2)(2)(1)=1.
The area of the bottom right triangle is (1/2)(4)(4)=8.
So A = 20 - 5 - 1 - 8 = 15 - 9 = 6.
Rectangle JKLM is shown. What is the value of x?
Which expression is equivalent to 486 – 9 + 6 + 33 × 2? A . [(486 – 9) + (6 + 33)] × 2 B . 486 – [(9 + 6 + 33) × 2] C . (486 – 9) + 6 (33 × 2) D . (486 – 9 + 6) + (33 × 2)
Answer:
D . (486 – 9 + 6) + (33 × 2)
Step-by-step explanation:
Which expression is equivalent to 486 – 9 + 6 + 33 × 2?
486 – 9 + 6 + 33 × 2
486 – 9 + 6 + 66
477 + 6 + 66
549
D . (486 – 9 + 6) + (33 × 2)
477 + 6 + 66
549
Hope this helps!
What is the slope of the line that passes through the points (-3, 5) and (1, 7)?
Answer:The slope is 2 .
Step-by-step explanation: mark branlest if right!
Answer:
1/2
Step-by-step explanation:
In the attachment below
Amanda wants to buy a new iPod that costs $250. When she gets to the Apple store
she sees they are having a sale for 15% off all iPods. She also has a coupon that takes
an additional 15% off the discounted price. What is the final cost of the iPod? (multi
step problem) (first you need to find the price when you take 15% off, and then you
take an additional 15% off of the discounted price)
Answer:
Answer:
15% off 212.5
30% off 175$
Step-by-step explanation:
15+15=30 so
250/100=2.5
2.5x30=75
250-75
Solve the equation and enter the value of x below
-9x-3 = 60
Answer:
-7
Step-by-step explanation:
-9x-3=60
add 3 to each side to cancel -3
-9x-3+3=60+3
simplify
-9x=63
divide by -9 to cancel the -9
-9x/-9=63/-9
simplify
x=-7
HELP ME PLEASE?!! dont understand
Answer: A
Step-by-step explanation:
The triangles are similar by AA. Angles BPA and CPD are congruent because they are vertical angles, and angles ABP and CDP are congruent because all right angles are congruent.
Complementary angles in real life photos
Please Help Me Complete My Assignment I'm On Question 9
Answer:
B
Step-by-step explanation:
Simply choose an x coordinate and plug it into the equations from the choices given.
i.e. where x=1
y=2(1)^2 - 4(1)
y= 2-4
y= -2
it can then be seen that where x=1 on the graph, y= -2 aligns perfectly
Answer:
B
Step-by-step explanation:
In y = 2x^2-4x, we put y = 0 to represent the intersection points on the x-axis of the graph. (Since y = 0 is always on the x-axis)
For 2x^2-4x = 0, using the quadratic formula, we get x = 0 and x = 2.
This matches the int. points on the graph.
The side-by-side boxplots show the ages of all Oscar winners for Best Actress (females) and Best Actor (males). It's easy to see that both distributions contain outliers (they're stars in the plot). Given that the median age of a man who won Best Actor is 42, Q1 = 39
determine a series of transformations that would map polygon ABCDE onto polygon A’B’C’D’E’?
i need help again!!
A translation followed by a reflection
Calculate the kinetic energy of a boy of mass 65kg running with average speed of 20m/s (3mks)
This is equivalent to 13 kilojoules.
=======================================================
Work Shown:
m = 65 kg = mass
v = 20 m/s = velocity
KE = kinetic energy
KE = (1/2)*m*v^2
KE = (1/2)*65*(20)^2
KE = 13000 joules
This can be written as 13 kilojoules since "kilo" means "1 thousand"
The abbreviation of the unit "joules" is the letter J.
PLEASE HELP ME I WILL MARK BRAINLIEST IF CORRECT
Answer:
C is the Answer
Step-by-step explanation:
can you solve that ?
Step-by-step explanation:
14/11-15/11
14-15/11
-1/11
f(x) = (9 + 2x)²
f(2) = ?
»f(x) = (9 + 2x)²
»f(2) = (9 + 2(2))²
»f(2) = (9 + 4)²
»f(2) = 13²
»f(2) = 169✅
[tex]\\ \rm\hookrightarrow f(x)=(9+2x)^2[/tex]
f(2):-
put 2 inplace of x
[tex]\\ \rm\hookrightarrow (9+2(2))^2[/tex]
[tex]\\ \rm\hookrightarrow (9+4)^2[/tex]
[tex]\\ \rm\hookrightarrow 13^2[/tex]
[tex]\\ \rm\hookrightarrow 169[/tex]
The table represents a function.
What is f(-2)?
-3
X
-6
--2
0
3
f(x)
3
1
4
-2
-1
ОООО
1
3
Answer:
234
Step-by-step explanation:
Man I don't know
The subtotal of your computer purchase was $398.50. If the sales tax rate is 7.25%, how much will you pay in tax for the computer? *
Answer:
$28.89
Step-by-step explanation:
[tex]398.5\times7.25[/tex]%
Calculate
[tex]398.5\times0.0725[/tex]
Calculate the product or quotient
[tex]28.89125[/tex]
I hope this helps you
:)
Solve for x
A.-8
B.8
C.-9
D.9
Which is the greatest
.......62% is the greatest......
A scientist uses a submarine to study ocean life.
•She begins at sea level, which is an elevation of o feet.
• She descends 11.7 feet.
• She then ascends 3.4 feet.
•Next, she travels down a second time, 85.4 feet.
How many feet must she now rise to get back to sea level?