Prime time factorization<br> multiples of 63.

Hey, my assignment is due in a few hours totally blew over me . Would appreciate some help !

NeTakaya

HOPE THIS HELPS!!!!!!!!!!!!!! :)

5 0

3 years ago

A line has a slope of 10 and includes the points (3, n) and (4,0). What is the value of n?<br> n =

ExtremeBDS [4]

Answer:

The value of n = -10

Step-by-step explanation:

Given the points

(3, n)

(4,0)

Finding the slope between (3, n) and (4,0)

$\left(x_1,\:y_1\right)=\left(3,\:n\right),\:\left(x_2,\:y_2\right)=\left(4,\:0\right)$

As slope = 10

using the formula

Slope = [y₂ - y₁] / [x₂ - x₁]

so substituting the values

10 = [0 - n] / [4 - 3]

10 = -n / 1

10 = -n

n = -10

Therefore, the value of n = -10

8 0

3 years ago

A circular disc has a circumference of 16pi meters. if we multiply the radius of the circular disc is by 10, what is the circumf

Flauer [41]

The circumference of the new disc 160Π that is 10 time of old circumference.

Step-by-step explanation:

Given,

Circumference of circular disc = 16Π (pi = Π)

Let, the radius of the circle be 'r'

Formula

The circumference of a circle with r radius = 2 Π r

According to the problem,

2 Π r = 16Π

or, 2r = 16 ( by eliminating the value of Π from both the side)

or, r = 8

Now, we multiply the radius by 10

so, the new radius is 8 X 10 = 80

Now the circumference = 2 Π X 80

= 160Π

Hence, the new circumference also will be 10 times of the older one.

6 0

4 years ago

1. Based on the information given, can you determine that the quadrilateral must be a

zhenek [66]

<u>Solving Q1: Given BE = ED and AE = EC.</u>

Considering triangles ΔAED and ΔCEB;

1. AE = EC (given)

2. ∠AED = ∠CEB (vertical angles)

3. ED = EB (given)

ΔAED ≡ ΔCEB (Side-Angle-Side congruency of triangles)

∠DAE = ∠BCE and AD = BC (using CPCTC)

⇒ AD║BC (Converse of Alternate Interior angles theorem)

Similarly consider triangles ΔABE and ΔCDE;

1. AE = CE (given)

2. ∠BEA = ∠DEC (vertical angles)

3. BE = DE (given)

ΔABE ≡ ΔCDE (Side-Angle-Side congruency of triangles)

∠ABE = ∠CDE and AB = CD (using CPCTC)

⇒ AB║CD (Converse of Alternate Interior angles theorem)

Since we have AB║CD, AB = CD and AD║BC, AD = BC.

Therefore, quadrilateral ABCD is a parallelogram.

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<u>Solving Q2: The parallelogram has the angle measures shown in the diagram.</u>

It is clearly visible that both the triangles are Isosceles triangles, so opposite sides in each triangle are equal.

Consider two triangles given in the problem, we have two sets of congruent angles and one included side is common in both triangles.

Using Angle-Side-Angle congruence of triangles, both the triangles would be congruent too.

Using CPCTC, we can say opposite sides of quadrilateral would be congruent.

Therefore, all sides in given quadrilateral are equal.

Hence, Given quadrilateral is a Rhombus.

7 0

3 years ago

A circular window is drawn on architectural plans where each unit is a foot on a coordinate grid. the window is modeled by the e

Pie

The equation indicates that the center of the window is 12 feet from the ground and the distance the window spans 6 feet.

<h3>What is the general equation of a circle?</h3>

The equation of a circle is given by the formula,

$(x-a)^{2} + (y -b)^{2} = r^{2}$

where (a,b) is the coordinate of the center of the circle, and r is the radius of the circle.

According to the given equation, if we compare this equation with the general equation of the circle.

$(x-4)^{2} + (y-12)^{2} = 9$

$(x-a)^{2} + (y -b)^{2} = r^{2}$

$(x-4)^{2} + (y -9)^{2} = 3^{2}$

On observing this equation we will get that the value of (a,b) is (4,12).

Thus, The equation indicates that the center of the window is 12 feet from the ground

window span = diameter of circle

window span = 2r

= 2 × 3 (radius = 3)

= 6

Hence, The equation indicates that the center of the window is 12 feet from the ground and the distance the window spans 6 feet.

To learn more about Equation of the circle from the given link

brainly.com/question/22223658

#SPJ4

6 0

1 year ago

Prime time factorization multiples of 63.