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Katen [24]
4 years ago
7

A teacher writes two equations as shown.

Mathematics
1 answer:
yaroslaw [1]4 years ago
5 0
A) J = (3/8)*(5/15 -6/15) = (3/8)*(-1/15) = (1/8)*(-1/5) = -1/40
.. K = (3/4)*(4/6 -5/6) = (3/4)*(-1/6) = (1/4)*(-1/2) = -1/8

B) (-1/40) +(-1/8) = -1/40 -5/40 = -6/40 = -3/20

C) The opposite of -3/20 is 3/20

D) Real world: I'm answering Brainly.com questions and one asks the opposite of -3/20.
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Read and write the number in two other forms 65,058
Vlad [161]
60,000+ 5,000 + 50 + 8 and sixty five thousand fifty eight
5 0
3 years ago
Read 2 more answers
The coordinates of the endpoints of AB and CD are A(2,
Ratling [72]

Answer:

Option 1: CD is a perpendicular bisector of AB

Step-by-step explanation:

Let us find out the slopes of various line segments and the Distances and then we will draw the conclusions accordingly.

Formula to find slope

m= \frac{y_2-y_1}{x_2-x_1}

Formula to Find Distance between two points

D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

mAB ( represents , Slope of AB )

1. mAC= \frac{3-2}{2-5}=\frac{1}{-3}=-\frac{1}{3}

2. mBC=\frac{2-1}{5-8}=\frac{1}{-3}=-\frac{1}{3}

3. mCD=\frac{5-2}{6-5}=\frac{3}{1}=3

4. AC=\sqrt{(3-2)^2+(2-5)^2} =\sqrt{(1)^2+(-3)^2}=\sqrt{1+9}=\sqrt{10}

5. BC=\sqrt{(2-1)^2+(5-8)^2} =\sqrt{(1)^2+(-3)^2}=\sqrt{1+9}=\sqrt{10}

mAC = mBC  , and C is common point , hence these three are collinear points  making a straight line whole slope is -\frac{1}{3}

mAB=-\frac{1}{3}

mCD=3

mAB \times mCD = -\frac{1}{3} \times 3 = -1

Hence CD ⊥ AB

Also

From Point 4 and point 5 above , we see that

AC = CB

Hence CD bisect AB at C, also CD ⊥ AB

There fore

CD is a perpendicular bisector of AB

Therefor option 1 is true

4 0
3 years ago
Help me answer please!!!
VLD [36.1K]

Answer:

A.) -5.85

B.) -5.55

C.) -5

D.) -4.35

8 0
4 years ago
Which figure is described below?
IRINA_888 [86]

Answer:

Option A.

Step-by-step explanation:

Circle contains all points in a plane that are equidistant from a point, i.e., center of the circle.

The locus of points 9 units from the  point (-1,3) on the coordinate plane.

It means, the figure represents the set of all points which are 9 units from the  point (-1,3).

So, the given describes a circle with of 9 units and center at (-1,3).

Therefore, the correct option is A.

5 0
3 years ago
The length of a rectangle is 1 unit more than the width. The area of the rectangle is 56 units. What is the width in units of th
Mandarinka [93]

Answer:

Width = 7units

Step-by-step explanation:

The area of a rectangle

A = h * w

A - area of a rectangle

h - height of a rectangle

w - width of a rectangle

Or

A = length * breadth

It's all the same

Given :

h = 1 + w

w = w

A = 56

56 = ( 1 + w) * w

56 = ( 1 + w)w

56 = w + w^2

56 = w^2 + w

w^2 + w - 56 = 0

Find a factor that can be multiplied to give -56

and added to give + 1

The factor is 8 and -7

Substitute 8w - 7w for w

w^2 + 8w - 7w - 56 = 0

( w^2 + 8w) - (7w - 56) = 0

w( w + 8) - 7( w + 8) = 0

( w - 7) = 0

( w + 8) =0

w - 7 = 0

w = 7

w + 8 = 0

w = -8

Since a side of any rectangle can not be negative

w = 7

The width of the rectangle is 7units

The length of the rectangle is 1 + w = 1 + 7 = 8units

4 0
3 years ago
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