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3 years ago

Find the slope of the line passing through (10,14) and (-3, 8)

Mathematics

1 answer:

never [62]3 years ago

6 0

Answer:

dgfh

Step-by-step explanation:

we know that for (x1 , y1) , (x2 , y2) the slope is as below:

α= $\frac{y2-y1}{x2-x1}$

so the slope will be (14-8) / (10-(-3))

which equals to $\frac{6}{13}$ or 0.461

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What is the first term in a geometric sequence if the common ratio is − 2 and the sum of the first six terms is −105?

Serggg [28]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
r=-2\\
n=6\\
S_6=-105
\end{cases}$

$\bf -105=a_1\left( \cfrac{1-(-2)^6}{1-(-2)} \right)\implies -105=a_1\left( \cfrac{1-(64)}{1+2} \right)
\\\\\\
-105=a_1\left( \cfrac{-63}{3} \right)\implies -105=a_1(-21)
\\\\\\
\cfrac{-105}{-21}=a_1\implies 5=a_1$

7 0

3 years ago

How to solve this problem

nevsk [136]

Let C be the center of the circle. The measure of arc VSU is $2+114x$ , so the measure of the minor arc VU is $360-(2+114x)=358-114x$ . The central angle VCU also has measure $358-114x$ .

Triangle CUV is isosceles, so the angles CVU and CUV are congruent. The interior angles of any triangle are supplementary (they add to 180 degrees) so

$m\angle VCU+2m\angle CUV=180$

$\implies m\angle CUV=\dfrac{180-(358-114x)}2=57x-89$

UT is tangent to the circle, so CU is perpendicular to UT. Angles CUV and VUT are complementary, so

$(57x-89)+(31x+3)=90$

$\implies88x=176$

$\implies x=2$

So finally,

$m\widehat{VSU}=2+114\cdot2=230$

degrees.

6 0

3 years ago

What is a correct way to rewrite p m p n pmpn ?

Akimi4 [234]

Answer:

$p^{4}$ $m^{2}$ $n^{2}$

Step-by-step explanation:

collect like terms and multiply

(p×p×p×p)×(m×m)×(n×n)

5 0

3 years ago

Read 2 more answers

Which number produces an irrational number when added to 0.4

gtnhenbr [62]

You didn't provide answer choices, but since 0.4=4/10 is rational, adding any irrational value to it will produce and irrational sum.

An irrational number is any number which can not be expressed as a fraction of two integers.

5 0

3 years ago

What is the greatest common factor of 48 and 64?

aleksklad [387]

Answer:

The GCF of 48 and 64 is 16

Step-by-step explanation:

To figure out GCF, you make a list of all the prime factors, pick out the numbers they have in common, and multiply them together. In this case:

48: 2 x 2 x 2 x 2 x 3

64: 2 x 2 x 2 x 2 x 2 x 2

They have four 2's in common, so you multiply 2 x 2 x 2 x 2 =16

8 0

3 years ago