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alexgriva [62]
3 years ago
11

On a coordinate plane, what is the difference between (-2,7) and (-2,-6)?

Mathematics
1 answer:
Shtirlitz [24]3 years ago
4 0
If you mean distance, then we can use the distance formula to find out.

(x - x)² + (y - y)² = d²   Distance formula
(-2 + 2)² + (7 + 6)² = d²   Substitute the points; remember that when you subtract a negative, you add, and also remember to always subtract in the same direction (with the points (1,2) and (3,4), if you do 1 - 3, then do 2 - 4 and not 4 - 2)
(0)² + (13)² = d²   Add
0 + 169 = d²   Square
169 = d²   Add
13 = d   Take the square root of both sides to cancel out the exponent

The distance between (-2,7) and (-2,-6) is 13 units.

Hope this helps!
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Write the following rate as a simplified fraction 55 dogs to 75 cats​
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Answer:

11/15

Step-by-step explanation:

Divide both the numerator and denominator by the GCD

55 ÷ 5

75 ÷ 5

=11/15

:)

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Express the mixed number 6 3/8 as a improper fraction? please show work.
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6 3/8

Multiply the whole number with the denominator

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48+3= 51

51/8

Answer: 51/8

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4 years ago
EAB and DCB are two right triangles. The figure has BED≅ BDE. Point B is the midpoint of segment AC. Prove: EAB≅ DCB
aleksklad [387]
See the attached picture. 

<span>you are given that ABCE is an isosceles trapezoid. </span>

<span>you are given that AB is parallel to EC. </span>

<span>this means that AE is congruent to BC. </span>

<span>you are given that AE and AD are congruent. </span>

<span>triangle EAD is an isosceles triangle because AE and AD are congruent. </span>

<span>this means that angle 1 is equal to angle 3. </span>

<span>since angle 1 is equal to angle 2 and angle 3 is equal to angle 1, then angle 3 is also equal to angle 2. </span>

<span>this means that AD and BC are parellel because their corresponding angles (angles 3 and 2) are equal. </span>

<span>since AB is parallel to EC and DC is part of the same line, than AB is parallel to DC. </span>

<span>you have AB parallel to DC and AD parallel to BC. </span>

<span>if opposite sides of a quadrilateral are parallel, then the quadrilateral is a parallelogram. </span>

<span>that might be able to do it,depending on whether all these statements are acceptable without proof. </span>

<span>they are either postulates or theorems that have been previously proven. </span>

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here's my diagram. 

 

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5 0
3 years ago
PLEASE HELP HURRY!!!!!!!
Charra [1.4K]

As it has been given that x=4+5i, y=2-9i.

We need to find the value of the following:

(i) 4x-y, substituting the value of 'x' and 'y' in the expression, we get:

4(4+5i)-(2-9i)=4\times 4+4\times 5i-2+9i=16+20i-2+9i

=14+29i

So, 4x-y=14+29i

(ii) -x+3y, substituting the value of 'x' and 'y' in the expression, we get:

-(4+5i)+3(2-9i)=-4-5i+3\times 2-3 \times 9i=-4-5i+6-27i

=2-32i

So, -x+3y=2-32i

(iii) x \times y, we need to substitute the value of 'x' and 'y' in the expression,  for this, we can use distributive property of multiplication that says,

a(b+c)=a \times b+ a \times c

Using the distributive property of multiplication:

(4+5i)\times(2-9i)=4 \times 2-4 \times 9i+5i \times 2-5i \times 9i

=8-36i+10i-45i^2

Now, we know that i \times i=i^2=-1

We get, 8-36i+10i-45 \times (-1)=8-26i+45

=8+45-26i=53-26i

Therefore, x \times y=53-26i.

(iv) We have, 2x \times y, we need to substitute the value of 'x' and 'y' in the expression, we get:

2(4+5i)\times (2-9i)

Again, we can use distributive property of multiplication that says,

a(b+c)=a \times b+ a \times c

So,

2(4+5i) \times (2-9i)=2\times 4+2 \times 5i\times(2-9i)

=8+10i \times(2-9i)=8\times 2-8 \times 9i+10i \times 2-10i \times 9i

=16-72i+20i-90i^2

since, i^2=-1

we get,

16-72i+20i-90 \times (-1)=16-52i+90

=106-52i

Therefore,

2x \times y=106-52i


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Answer: Video game club has 37 members and the Pokémon club has 27 members

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