Point A, located at (-5, 0), is rotated 90°. What are the coordinates of point A'?

Answers

Answer 1

Answer:

Answer:

(0 -5)

i hope this helps

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-3 progression 8 common difference what is the 28th term

Answers

the answer for this problem would be 213

The standard form of the equation of a parabola is y = 5x2 + 20x + 14. What is the vertex form of the equation?

A. y = 5(x + 2)2 + 10
B. y = 5(x + 2)2 - 6
C. y = 5(x + 4)2 - 6
D. y = 5(x + 4)2 + 10

Answers

The vertex form of quadratic equation is expressed as:

y = a (x - h)² + k

We manipulate the given equation to be the same as the vertex form. First we transpose the constants to the left-hand side.

y - 14 = 5x² + 20x

Then, we factor out in right hand side the coefficient of the x² term.

y- 14 = 5 (x² + 4x)

We divide the coefficient of the x term with 2 and take its square. We add this value to both sides of the equation but we should remember that in the left-hand side we should multiply this value with five to keep it balanced.

y - 14 + 20 = 5 (x² + 4x +4)

We simplify the right-hand side as:

y + 6 = 5 (x + 2)²

We can now manipulate further the equation above in the vertex form. Thus,

y= 5 [ x- (-2)]² - 6

Answer:

y = 5(x+2)^2 - 6

Step-by-step explanation:

Not sure how to solve 2sinxcosx+cosx=0 Could you help?

Answers

$2sinxcosx+cosx=0\n\ncosx(2sinx+1)=0\iff cosx=0\ \vee\ 2sinx+1=0\n\ncosx=0\ \vee\ 2sinx=-1\ /:2\n\ncosx=0\ \vee\ sinx=-(1)/(2)\n\nx=(\pi)/(2)+k\pi\ \vee\ x=-(\pi)/(6)+2k\pi\ \vee\ x=(7\pi)/(6)+2k\pi\ to\ k\in\mathbb{Z}$

Out of 32 students in a class, 5 said they ride their bikes to school. based on these results,how many of 800 students in the school ride threr bikes to school?

Answers

Do a proportion.
5/32= x/800
Cross multiply and divide
800 x 5= 4,000
4,000 divided by 32= 125
So answer is 125 students

The sum of twice a number and 10 is 36

Answers

2x+10=36
X=13
Subtract 10 from both sides then divide x

Final answer:

To solve the equation, subtract 10 from both sides and divide by 2 to find the value of x.

Explanation:

To solve this problem, we need to set up an equation using the given information. Let's assume the number is x. We can translate the phrase 'twice a number' into the expression 2x. The equation becomes:

2x + 10 = 36

Next, we can solve for x by subtracting 10 from both sides:

2x = 26

Finally, we divide both sides by 2 to isolate x:

x = 13

Learn more about Equations here:

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Solve the equation using the quadratic formula : x^2-10x+25=18

Answers

$x^2-10x+25=18 \n \nx^2-10x+25-18 = 0\n \n x^2-10x+ 7 =0 \n \na=1 , b = -10 , c= 7 \n \n \Delta = b^(2)-4ac = (-10)^(2)-4*1*7=100-28 = 72 \n \n√(\Delta )=√(72)= √(2*36) =√(36)*√(2) =6√(2)$

$x_(1)=(-b-√(\Delta ))/(2a) =(10- 6√(2))/(2)=(2(5-3√(2)))/(2)= 5-3√(2)\n \nx_(2)=(-b+√(\Delta ))/(2a) =(10+ 6√(2))/(2)=(2(5+3√(2)))/(2)= 5+3√(2)$

$Answer : \ x= 5-3√(2) \ \ or \ \ x = 5+3√(2)$

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