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3 years ago

Please help with a) b) and c)

Mathematics

1 answer:

ycow [4]3 years ago

8 0

Ok I’ll help give me on minute

Sorry if my English is bad i am German

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Find the length between each pair of points (-1, 6) (7, 2)

Alexeev081 [22]

Answer:

$\sqrt{80}$ or $4\sqrt{5}$

Step-by-step explanation:

Using the distance formula:

$d=\sqrt{(7-(-1))^2+(6-2)^2}=\sqrt{8^2+4^2}=\sqrt{64+16}=\sqrt{80}=4\sqrt{5}$

Hope this helps!

8 0

3 years ago

Can someone please help I will give brainliest if answer is right and 30 points no links please

ss7ja [257]

Answer:

ASA

Step-by-step explanation:

As we can see from the two triangles there is a same side between two angles, it is called ASA angle side angle congruence

6 0

3 years ago

X with an exponet of 2 = 14

MArishka [77]

I think it's 7 because 7 x 2 = 14

5 0

4 years ago

PLEASE HELPPP!! I WILL MARK YOU AS BRAINLIEST!

sveticcg [70]

Answer:

this should be right

Step-by-step explanation:

angle a is 60 degrees

4 0

3 years ago

Simplify: [5×(25)^n+1 - 25 × (5)^2n]/[5×(5)^2n+3 - (25)^n+1]

Alekssandra [29.7K]

$\green{\large\underline{\sf{Solution-}}}$

<u>Given expression is </u>

$\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} }$

can be rewritten as

$\rm \: = \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} }$

We know,

$\purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\$

And

$\purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\$

So, using this identity, we

$\rm \: = \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} }$

$\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} }$

can be further rewritten as

$\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} }$

$\rm \: = \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)}$

$\rm \: = \: \dfrac{4}{25 - 1}$

$\rm \: = \: \dfrac{4}{24}$

$\rm \: = \: \dfrac{1}{6}$

<u>Hence, </u>

$\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}$

4 0

3 years ago