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2 years ago

Find the coordinates to the vertices of the figure after the given transformation. T<1,0>

Mathematics

1 answer:

Doss [256]2 years ago

8 0

Answer:

(1,0)

Step-by-step explanation:

I'm just gonna say that the point you want to be transformed is the origin. It will be moved to (1,0)

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Which equation could be used to find the height of the flagpole

Sauron [17]

X = height of pole (in meters)

With respect to the 50 degree angle, the side x is the opposite leg. It is the leg furthest from the reference angle. The hypotenuse is 5 meters.

The trig function sine ties together the opposite and hypotenuse

sin(angle) = opposite/hypotenuse
sin(50) = x/5
5*sin(50) = x .... multiply both sides by 5
x = 5*sin(50)

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Since x = 5*sin(50) isn't listed as an answer choice, let's try using cosine. We can't use it right away because we don't know the adjacent side. What we can do is change the reference angle. The missing angle of the triangle is 90-50 = 40 degrees. Let's make the 40 degree angle the reference angle

So x is now the adjacent side with respect to the 40 degree reference angle. The hypotenuse is always the longest side. The hypotenuse stays at 5.

cos(angle) = adjacent/hypotenuse
cos(40) = x/5
5*cos(40) = x
x = 5*cos(40)

This expression is listed. The answer is choice B

4 0

3 years ago

the axis of symmetry of a quadratic equation is x = –3. if one of the zeroes of the equation is 4, what is the other zero?

FinnZ [79.3K]

ANSWER

The other zero is

$x = - 10$

EXPLANATION

The axis of symmetry serves as the midpoint of the two zeroes.

We were given that the axis of symmetry of the quadratic equation is
$x = - 3$

We were also given that, one of the zeroes of the quadratic equation is
$x = 4$

Let the other zero of the quadratic equation be
$x = p$

,then, we apply the midpoint formula to find the value of
$p$

Since it is the x-values of the intercepts that gives the solution, we use only the x-value part of the midpoint formula which is given by,

$\frac{x_1 + x_2}{2} = axis \: of \: symmetry$

We substitute to obtain,

$\frac{p + 4}{2} = - 3$

We multiply through by 2 to get,

$p + 4 = - 6$

This implies that,

$p = - 6 - 4$

$p = - 10$

3 0

3 years ago

Read 2 more answers

I need help with these please

Kipish [7]

Answer:

Q1 (-2,-5)(0,3)(4,19)(7,31)

Step-by-step explanation:

8 0

3 years ago

The circumference of a circle is 28 x inches. What is the length of the radius of this circle?

Gala2k [10]

Answer:

The answer to your questions radius = 14 in

Step-by-step explanation:

Data

Circumference = 28π in

radius = ?

Circumference is defined as the distance around the edge of a circle.

Formula

Circumference = 2π radius

-Solve for radius

radius = Circumference /2π

-Substitution

radius = 28π / 2π

-Simplification

radius = 28/2

-Result

radius = 14 in

7 0

3 years ago

Which statement is true?

REY [17]

Choice (B) is true.

For (A): 5 is not a divisor of 14, whose only divisors are 1, 2, 7, and 14.

For (B): the factors of 10 are: 1, 2, 5, and 10. The factors of 15 are: 1, 3, 5, and 15. As we can see, the only, and greatest, common factor is 5.

For (C): 3 is not a factor of 13, which is a prime number.

For (D): again, 3 is not a factor of 14.

7 0

3 years ago

Read 2 more answers