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3 years ago

Find the distance between the points (13,19) and (13,-14)

Mathematics

2 answers:

Andreyy893 years ago

5 0

Answer:

$d = 33$

Step-by-step explanation:

Distance Formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>:

$d = \sqrt{(13-13)^2+(-14-19)^2}$

$d = \sqrt{(0)^2+(-33)^2}$

$d = \sqrt{(-33)^2}$

$d = 33$

stiv31 [10]3 years ago

5 0

Answer:

the distance between the two points is 33 units.

Step-by-step explanation:

because the two points have the same x value, we only need to consider the y values.

find the difference to solve for the distance.

$19-(-14)\\19+14\\33$

the answer is 33 units.

hope this helps :)

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Which equation represents the line that is perpendicular to and passes through (-4,-3)?

nignag [31]

Answer:

I think It's x=-4

Step-by-step explanation:

Hope this helps :))

8 0

3 years ago

Which number in the monomial 215x18y3z21 needs to be changed to make it a perfect cube?

Murljashka [212]

Remember
xyz=(x)(y)(z)
if x and y and z are all perfect cubes, xyz is also a perfect cube

remmeber
(x^n)^m=x^(mn)
so if it is perfect cube it can be factored into
(x^n)^3, such taht n is a whole number
basiclaly, see if the expoent is divisble by 3

all of them should be perfect cubes

215x^18y^3z^21

split them up to see which ones need changing

215=5*43, not a perfect cube
could be changed to 6^3, which is 216

x^18=(x^6)^3

y^3=y^3
z^21=(z^7)^3

the 215 needs to be changed

8 0

4 years ago

Read 2 more answers

In ΔABC, m∠ACB = 90°, CD ⊥ AB and m∠ACD = 45°. Find AC, if CD = 6 sqrt 3

Alla [95]

Answer:

$6\sqrt{6}\ un.$

Step-by-step explanation:

Consider right triangle ABC with right angle ACB. If m∠ACD = 45°, then

m∠BCD=m∠ACB-m∠ACD=90°-45°=45°.

Since CD ⊥ AB, then

m∠CDA=m∠CDB=90°.

Thus, triangles ACD and BCD are right triangles with right angles ADC and BDC. In these triangles:

m∠CAD=90°-m∠ACD=90°-45°=45°;

m∠CBD=90°-m∠BCD=90°-45°=45°.

Thus, triangles ACD and BCD are isosceles right triangles with

$CD=AD=BD=6\sqrt{3}\ un.$

By the Pythagorean theorem,

$AC^2=CD^2+AD^2,\\ \\AC^2=(6\sqrt{3})^2+(6\sqrt{3})^2,\\ \\AC^2=216,\\ \\AC=6\sqrt{6}\ un.$

7 0

4 years ago

Read 2 more answers

Find the value of 105 squred using bionomial expansion using (a+b) squred=a squred+2ab + b squred

skad [1K]

Answer:

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about: </h3>

algebra

<h3>let's solve:</h3>

$\sf rewrite \: 105 \: as \: 100 + 5 : \\ \sf (100 + 5 {)}^{2}$
$\sf use \: (a + b {)}^{2} = {a}^{2} + 2ab + {b}^{2} \: to \: simplify : \\ \sf {100}^{2} + 2.100.5 + {5}^{2}$
$\sf simplify \: squres : \\ \sf 10000 + 2.100.5 + 25$
$\sf simplify \: multipication : \\ \sf10000 + 1000 + 25$
$\sf simplify \: addition : \\ \sf \: 11025$

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3 years ago

Prism nets help plz

Elodia [21]

Check the picture below.

you surely know how to get the area of a rectangle, well, there you have 6 of them, get the area of each, sum them up, that's the surface area of the prism.

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4 years ago