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3 years ago

The first term of an arithmetic sequence is -5, and the tenth term is 13.

Mathematics

1 answer:

Nitella [24]3 years ago

7 0

Answer:

The common difference is 2

Step-by-step explanation:

The formula for an arithmetic sequence is

an = a1+d(n-1)

a1 = -5

a10 = 13

Substituting n=10 a10=13 and a1 =-5

13 = -5 +d (10-1)

13 = -5 +9d

Add 5 to each side

13+5 = -5+5 +9d

18 = 9d

Divide each side by 9

18/9 = 9d/9

2 =d

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What is the measure of < B? A. Cannot be determined B. 60° C. 25° D. 75°

mariarad [96]

Heya!

Here is your answer:

The measure of all angles are 60°.

Here,

triangle ABC is an equilateral triangle (all sides are equal)

so, Its all angle measure same.

<A + <B + <C = 1800°

let <B = x

x+x+x =180°

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3 0

3 years ago

IF correct you get brainliest

Lubov Fominskaja [6]

Step-by-step explanation:

$- 3x = y \\ - 9x - 5( - 3x) = - 48$

$- 9x + 15x = - 48 \\ \frac{24x}{24} = \frac{ - 48}{24}$

$x = - 2 \\ - 3x = y \\ - 3( - 2) = 6$

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3 years ago

A train travels 60 km in 1 hour. How long will it take to go 150 km, if the speed is uniform

jeka94

Answer:

non -uniform

Step-by-step explanation:

because 120km=2 hour

150km=2 hour 30 min

may be the answer is non-uniform.

5 0

2 years ago

Read 2 more answers

If 1/√a-√b=1/3 and 1/√a+√b=1/2, then find the difference of a and b.

kow [346]

ANSWER:

If $\frac{1}{\sqrt{a}-\sqrt{b}}=\frac{1}{3}$ and $\frac{1}{\sqrt{a}+\sqrt{b}}=\frac{1}{2}$ then the difference of a and b is 6

SOLUTION:

Given, $\frac{1}{\sqrt{a}-\sqrt{b}}=\frac{1}{3}$ → $\sqrt{a}-\sqrt{b}=3$ ----- (1)

And $\frac{1}{\sqrt{a}+\sqrt{b}}=\frac{1}{2}$ → $\sqrt{a}+\sqrt{b}=2$ --- (2)

We have to find difference of a and b.

Now, add (1) and (2)

$\sqrt{a}-\sqrt{b}=3$

$\sqrt{a}+\sqrt{b}=2$

Adding above two equations, we get,

$2 \sqrt{a}+0=2+3$

$\begin{array}{l}{2 \sqrt{a}=5} \\\\ {\sqrt{a}=\frac{5}{2}} \\\\ {a=\frac{25}{4}}\end{array}$

substitute $\sqrt{a}$ value in (2)

$\begin{array}{l}{\frac{5}{2}+\sqrt{b}=2} \\\\ {\sqrt{b}=\frac{2}{\sin \frac{5}{2}}} \\\\ {\sqrt{b}=\frac{4-5}{2}} \\\\ {\sqrt{b}=\frac{-1}{2}} \\\\ {b=\frac{1}{4}}\end{array}$

Now, difference of a and b is a – b = $\frac{25}{4}-\frac{1}{4}=\frac{24}{4}=6$

Hence, the difference of a and b is 6.

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Kazeer [188]

I am pretty sure A) or D)

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