what is the image of (-3,-5)) after a reflection over the x-axis?

Answer:

(4,1);(1,4)

Step-by-step explanation:

The point on the parabolic equation y = -x² + 4x + 1 and line y = -x + 5 intersect is P ( 4 , 1 ) and Q ( 6 , -1)

A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

y = a ( x - h )² + k

where ( h , k ) is the vertex and ( h , k + p ) is the focus

y is the directrix and y = k – p

The equation of the parabola is also given by the equation

y = ax² + bx + c

where a , b , and c are the three coefficients and the parabola is uniquely identified

Given data ,

Let the parabolic equation be y = -x² + 4x + 1

Let the equation of line be y = -x + 5

Now , To find the points of intersection between the parabola y = -x² + 4x + 1 and the line y = -x + 5, we need to set the two equations equal to each other and solve for x and y simultaneously.

Setting y = -x² + 4x + 1 equal to y = -x + 5, we get:

-x² + 4x + 1 = -x + 5

Rearranging the equation, we get a quadratic equation in standard form:

-x² + 4x + x - 1 - 5 = 0

-x² + 5x - 6 = 0

Factoring the quadratic equation, we get:

-(x - 1)(x - 6) = 0

Setting each factor equal to zero and solving for x, we get two potential values for x:

x - 1 = 0 or x - 6 = 0

x = 1 or x = 6

Now, substituting the values of x back into the equation y = -x + 5 to find the corresponding y-values, we get:

For x = 1:

y = -1 + 5

y = 4

So, one point of intersection is (1, 4)

For x = 6:

y = -6 + 5

y = -1

So, the other point of intersection is (6, -1).

Hence , the point of intersection is P ( 4 , 1 ) and Q ( 6 , -1)

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Answer:

B. 4n²+11n-6

Step-by-step explanation:

________________

Answer:

5/12 x 2/3 = 10/36 = 5/18 foot2

Answer:

B. C. and D.

Step-by-step explanation:

Answer:

B,C,E your welcome

Step-by-step explanation:

Answer: b e and c hope this was useful

Answer:

Step-by-step explanation:

it does not show the problem

Answer:

C

Step-by-step explanation:

Answer:

m<D = 14

Step-by-step explanation:

Exterior angles thm:

83 + 6x - 4 = 21x + 4

6x + 79 = 21x + 4

6x - 21x = 4 - 79

-15x = -75

x = 5

m<D:

6x - 4

6(3) - 4

18 - 4

14

Answer:

29 in.²

Step-by-step explanation:

2 in. × 2 in. = 4 in.²

3 in. × 5 in. = 15 in.²

2 in. × 5 in. = 10 in.²

4 in.² + 15 in.² + 10 in.²

29 in.²

Answer:

10 Sorry if wrong!

Step-by-step explanation:

40×0.25=10

Answer:

25/100 x 40 = 10

Step-by-step explanation:

The keyword 'of' means multiplication

Consider a percent out of 100, a way to remember is that the root word 'cent' means 100.

Answer:

160:10

100:x

160x=1000

x=1000/160

x= $6.25

Answer:

B is correct

Step-by-step explanation:

Answer:

0.04

Step-by-step explanation:

Answer:

90° angle

Step-by-step explanation:

Every time you see an angle that has a box, it measures 90°

Answer: 40%

Step-by-step explanation:

I took the k12 test lol

Answer:

70%

Step-by-step explanation:

4 blue tiles A

6 red tiles A

2 red tiles B

8 blue tiles B

total: 20

total B: 2 + 8 = 10

total blue, not B: 4

p(B or blue) = (10 + 4)/20 = 0.7 = 70%

Answer:

take care everyone be safe

stay home , stay safe

take vaccination

Answer:

Option 1

Flood

Step-by-step explanation:

As she lives next to the river heavy rains can cause the water to overflow

Answer:

You can use the definite integral to find the volume of a solid with specific cross sections on an interval, provided you know a formula for the region determined by each cross section. If the cross sections generated are perpendicular to the x‐axis, then their areas will be functions of x, denoted by A(x). The volume ( V) of the solid on the interval [ a, b] is

Answer:

n = 12.5t

Step-by-step explanation:

add up the calories burned in both days

275 + 450 = 725

add up the minutes running on both days

22 + 36 = 58

divide calories by minutes

725 calories/58 minutes = 12.5 calories/1 minute

So 12.5 multiplied by any number of minutes tells you how many calories you burned

The number of calories you burned is dependent on the number of minutes you ran.

Answer:

A

Step-by-step explanation:

got it right

The solution to this equation log₆(x) + log₆(3) = log₆( x+1) is x = 1/2.

A logarithm is an exponent or power to which a base must be raised in order to produce a given number. If aˣ = n, then x is the logarithm of n to the base a, which is expressed mathematically as x = logₐn.

We know that logₐx + logₐy = logₐ(xy)

Here, log₆(x) + log₆(3) = log₆( x+1)

i.e. log₆(3x) = log₆( x+1)

i.e. 3x = x + 1

i.e. 3x - x = 1

i.e. 2x = 1

i.e. x = 1/2

Therefore, the solution to this equation log₆(x) + log₆(3) = log₆( x+1) is x = 1/2. So, option A is correct.

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Let the number is X

So the equation will be X-5 = 15

By Question it's given that the sum of two numbers is 15 . And we need to find out the numbers. So ,

Let us take :-

According to the Question :-

[tex]\sf\implies x + x +1=15\\\\\sf\implies 2x = 15-1\\\\\sf\implies 2x =14 \\\\\sf\implies x =14/2 \\\\\sf\implies\red{ x = 7 }[/tex]

Therefore :-

Hence the two numbers are 7 and 8.

This is a classic proof of the Pythagorean Theorem!

Pythagorean theorem is a^2 + b^2 = c^2. With a square, its area is its side length squared. Therefore, if we think about this as squares, then the sum of the area of square X and square Y will be equal to the sum of square Z.

Looking at your answer choices, the best option is C - The number of tiles needed to cover Region Z is the same number of tiles needed to cover both Region X and Region Y.

Hope this helps!! :)

Answer:

No

Step-by-step explanation:

0.002 has one extra zero making it smaller than 0.02

Answer:

Step-by-step explanation:

.02 is the same thing as [tex]\frac{2}{100}=\frac{1}{50}[/tex]

.002 is the same thing as [tex]\frac{2}{1000}=\frac{1}{500}[/tex]

so, no, they are not equivalent.

Answer:

Step-by-step explanation:

The surface area of a square pyramid = 1/2 * slant height * base perimeter + area of base

 The slant height is 5 cm

The base perimeter is 4 * 5 cm = 20 cm

The area of the base is 5 cm * 5 cm = 25 cm**2

Plugging into the formula the area =

1/2 * 5 cm * 20 cm + 25 cm**2 =

5 cm * 10 cm + 25 cm**2 =

50 cm**2 + 25 cm**2 = 75 cm**2

Answer:

0.7 repeating is 7/9

0.04 repeating is 4/99

4.45 repeating 4 4/11

2.19191919...... is 2 19/99

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The line crosses with y-axis when x = 0:

The y-intercept is the required point and its coordinates are (0, 7)