MATHEMATICS HIGH SCHOOL

What is the best approximation of the solution to the system to the nearest integer values. A.1,3B. 3,2
C.2,3
D. 3,4
What is the best approximation of the solution to the - 1

Answers

Answer 1
Answer: This question is asking us what the coordinates are for the point of intersection. Since the point is not directly on the grid lines, we must approximate.

The point is closest to the value "2" on the x axis.
The point is closest to the value "3" on the y axis.

This means the correct point is (2,3).

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PLEASE HELP ASAP!!!!!
Simultaneous equations 4x + 7y= 13x +10y=15
What number is added to 0.035 to obtain 4.036?

Suppose U=(-1,-2,-3,4,5,6,7,8) is the universal set and X=(-2,4,6,8) what is x?

Answers

Ir results that X is a subset of U.

What is the value of x. What is the measure of angle ABC and what is the value of angle CBD

Answers

Answer:

15

Step-by-step explanation:

derive the equation of the parabola with a focus at (4,-7) and a directrix of y=-15. put the equatiom in standard form

Answers

Answer:

The equation of the parabola with a focus at (4,-7) and a directrix of y=-15 is y=(x^(2))/(16)-(x)/(2)-10

Step-by-step explanation:

we need to drive the equation of the parabola with a focus at ( 4, -7) and a directrix of y= -15

From the given focus ( 4, -7) and equation of directrix  y = - 15 calculate p

p=(1)/(2)(y_0-y)

where y_0 is is ordinate of focus and y is equation of directrix.

p=(1)/(2)(-7-(-15))

p=(1)/(2)(-7+15)

p=(1)/(2)(8)

p=4

Calculate the vertex (h,k)

h=4\; \text{and}\; k=(-7+(-15))/(2)=-11

vertex (h,k) =(4,-11)

Since, vertex  form is :

(x-h)^(2)=4p(y-k)       (positive 4p shows it open upward)

(x-4)^(2)=4(4)(y-(-11))

(x-4)^(2)=16(y+11)

x^(2)+16-8x=16y+176

subtract both the sides by 176,

x^(2)-8x-160=16y

Divide both the sides in above by 16,

(x^(2))/(16)-(8x)/(16)-(160)/(16)=y

(x^(2))/(16)-(x)/(2)-10=y

Hence, the equation of the parabola with a focus at (4,-7) and a directrix of y=-15 is  y=(x^(2))/(16)-(x)/(2)-10
\sqrt{(x_(0) - 4)^(2) + (y_(0) - (-7))^(2)} = |y_(0) - (-15)|
(\sqrt{(x_(0) - 4)^(2) + (y_(0) + 7)^(2))^(2)} = (y_(0) + 15)^(2)
(x_(0) - 4)^(2) + (y_(0) + 7)^(2) = (y_(0) + 15)^(2)
(x_(0)^(2) - 8x_(0) + 16) + (y_(0)^(2) + 14y_(0) + 49) = y_(0)^(2) + 30y_(0) + 225
x_(0)^(2) + y_(0)^(2) - 8x_(0) + 14y_(0) + 16 + 49 = y_(0)^(2) + 30y_(0) + 225
x_(0)^(2) + y_(0)^(2) - 8x_(0) + 14y_(0) + 65 = y_(0)^(2) + 30y_(0) + 225
x_(0)^(2) - 8x_(0) - 16y_(0) - 160 = 0
16y_(0) = x_(0)^(2) - 8x_(0) - 160
(16y_(0))/(16) = (x_(0)^(2) - 8x_(0) - 160)/(16)
y_(0) = (1)/(16)x_(0)^(2) - (1)/(2)x_(0) - 10
y = (1)/(16)x^(2) - (1)/(2)x - 10

Explain how to solve the equation. 49= x/7Part 1
Select the correct choice below and fill in the answer box within your choice.
​(Type a whole​ number.)

A . Subtract _from both sides.

B . Multiply both sides by _

C . Add_ to both sides.

D . Divide both sides by _

Answers

49 = (x)/(7)

Multiply both sides of the equation by 7

49 * 7 = (x)/( \cancel7) * \cancel7

343 = x

x = 343

\green{ \rule{300pt}{3pt}}

  • OptionBisthecorrectchoiceandthenumberthatcomesintheblankis7...~

4) How old am I if 500 reduced by 4 times
my age is 1402

Answers

Answer:

53

Step-by-step explanation:

The difference between 4,632 and 20,000 is what number

Answers

When finding the difference between you will need to subtract.  So lets subtract
4632-20000
And you get -15368.
So the differences between 4,632 and 20,000 is -15368
Difference means to minus which will get our difference. 

4632 - 20000 = -15368

SO 4632 - 20000 is equal to negative(-)15368 (-15368)

Hope i helped ya!!!!!!!☺☺
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