MATHEMATICS HIGH SCHOOL

a square with an area of 25 in.^2 is plotted on a grid so that the bottom-left corner is at the origin. The side of the square are horizontal and vertical. A reflection over what line maps the square onto itself?

Answers

Answer 1

Answer:

Answer:

Reflection about the vertical line x = 2.5 inches will map the square unto itself

Step-by-step explanation:

The given parameters are;

The area of the square = 25 in²

The orientation of the sides of the square are horizontal and vertical

Therefore, we have;

The area, A, of the square given by the following relation;

A = Side²

A = 25 in²

Therefore;

The area of the square = 25 = side²

The length of the sides of the square = √A = √25 = 5

The length of the sides of the square = 5 inches

The reflection of a figure that maps the figure unto itself is a reflection along the line of symmetry

One of the line of symmetry that divides the square into two similar halves is the vertical straight that passes half way through the horizontal side, which is the point 2.5 inches to the right on the x-axis with the coordinates (2.5, 0)

Therefore, reflection about the line x = 2.5 inches will map the square unto itself.

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A pentagon with one interior angle that measures 200 degrees is what type of polygon.

if the quadratic formula is used to find the roots of the equation x^2-6x-19=0, what is the correct roots

Answers

$x^(2) -6x-19=0 \n \ndiscriminant= b^(2)-4ac=> \n 36-(-76)=76+36=112 \n \n -b- √(disc.)/2a=>6- √(112)/2 \n =>6- 4√(7)/2 \n =3- 2√(7) \n \n -b +√(disc)/2a=6+4 √(7) /2 \n =3+ 2√(7) \n \n Solution\: set:(3- 2√(7) ,3+ 2√(7) ) \n \n \framebox[1.1\width]{Good Luck!!} \par$

$x^2-6x-19=0\nx^2-6x+9-28=0\n(x-3)^2=28\nx-3=√(28) \vee x-3=-√(28)\nx=3+2\sqrt7 \vee x=3-2\sqrt7$

Nia is three years older than half Jordan’s age. Jordan is eight years old.
How old is Nia?

Answers

if jordan is 8 and half of that is 4 then add 3 then nia is 7

Nia is 7 Years Old This is correct

Mr. Lucas bought a new television for his game room. The one he chose was $950. He had to pay asales tax of 8.2%. What was the amount of sales tax he paid on the television?

Answers

He would have paid $77.90 in tax. However, the overall price ( including tax) would be $1,027.90. Hope this helps

Suppose a parabola has vertex (–4, 7) and also passes through the point (–3, 8). Write the equation of the parabola in vertex form.

Answers

The equation for a parabola can also be written in the "vertex form":
$y = a (x-h) ^ 2 + k$
Where,
the vertex of the parabola is the point (h, k).
The value of a is the term that accompanies x ^ 2
Substituting values we have:
$y = a (x - (- 4)) ^ 2 + 7$
Rewriting we have:
$y = a (x + 4) ^ 2 + 7$
For the point (-3, 8) we have:
$8 = a (-3 + 4) ^ 2 + 7$
From here, we clear the value of a:
$8 = a (1) ^ 2 + 7 8 = a + 7 a = 8 - 7 a = 1$
Then, the equation is given by:
$y = (x + 4) ^ 2 + 7$
Answer:
The equation of the parabola in vertex form is:
$y = (x + 4) ^ 2 + 7$

y=a(x-h)^2 +k
in the vertex (h, k) given that vertex (-4, 7)
we get y=(x-(-4))^2 +7
y=(x+4)^2 +7
hope it helps

2x-4y=2 -2x+3y=0 elimination

Answers

$2x-4y=2 \n\underline{-2x+3y=0} \n-4y+3y=2+0 \n-y=2 \ny=-2 \n \n2x-4y=2 \n2x-4 * (-2)=2 \n2x+8=2 \n2x=2-8 \n2x=-6 \nx=(-6)/(2) \nx=-3 \n \n(x,y)=(-3,-2)$

2x-4y=2

-2x+3y=0

-------------------- (+)

3y-4y=2

-y=2 /*(-1)

y=-2

2x-4y=2

2x-4*(-2)=2

2x+8=2 /-8

2x=-6

x=-3

Where is the number 4 − 8 located on a horizontal number line?4 units to the left of 4
4 units to the right of 4
8 units to the left of 4
8 units to the right of 4

Answers

Answer:

C. 8 units to the left of 4

Step-by-step explanation:

We are asked to find the the position of $4-8$ located on a horizontal number line.

We know that negative numbers are located on the left side side of number line and positive numbers are located on the right side of number line.

4 will be located to the 4 units right from zero and negative 8 will be located 8 units left from 8.

Therefore, option C is the correct choice.

Answer:

8 units to the left of 4

Step-by-step explanation:

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