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2 years ago

1) Simplify into Standard Form. 2(x – 3)^2 – 1 help !

1 answer:

6 0

2x^2 - 12x + 17

you just simplify it by doing the square number to the bracket and then multiply everything in the bracket by the number outside the bracket (this example 2)

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What is 5 to the power of 1 in expanded form

fomenos

Answer:

5^1 in expended from is 5

hope it helps.

3 0

3 years ago

Find the area and round to the nearest hundredth??

bagirrra123 [75]

Answer:

total area = 193.31 m²

Step-by-step explanation:

rectangle area = 7 x 15 = 105 m²

semi circle area = (3.14)(7.5²)/2 = 88.31 m²

total area = 105 m² + 88.31 m² = 193.31 m²

8 0

3 years ago

Find the slope of the line that passes through (14, -26) and (15, 14).

tatuchka [14]

Answer:

Slope is 40

Full equation: y=40x-586

Step-by-step explanation:

Slope is y2-y1/x2-x1

14 is x1

-26 is y1

15 is x2

14 is y2

14-(-26)/15-14

So the slope is 40

To find the equation

y=40x+b

14=15(40)+b

14=600+b

b=-586

Equation:

y=40x-586

5 0

3 years ago

Given the sequence 1/2 ; 4 ; 1/4 ; 7 ; 1/8 ; 10;.. calculate the sum of 50 terms

miv72 [106K]

Hint :-

Break the given sequence into two parts .
Notice the terms at gap of one term beginning from the first term .They are like $\dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8}$ . Next term is obtained by multiplying half to the previous term .
Notice the terms beginning from 2nd term , $4,7,10,13$ . Next term is obtained by adding 3 to the previous term .

Solution :- 

We need to find out the sum of 50 terms of the given sequence . After splitting the given sequence ,

$\implies S_1 = \dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8}$ .

We can see that this is in Geometric Progression where 1/2 is the common ratio . Calculating the sum of 25 terms , we have ,

$\implies S_1 = a\dfrac{1-r^n}{1-r} \\\\\implies S_1 = \dfrac{1}{2}\left[ \dfrac{1-\bigg(\dfrac{1}{2}\bigg)^{25}}{1-\dfrac{1}{2}}\right]$

Notice the term $\dfrac{1}{2^{25}}$ will be too small , so we can neglect it and take its approximation as 0 .

$\implies S_1\approx \cancel{ \dfrac{1}{2} } \left[ \dfrac{1-0}{\cancel{\dfrac{1}{2} }}\right]$

$\\\implies \boxed{ S_1 \approx 1 }$

$\rule{200}2$

Now the second sequence is in Arithmetic Progression , with common difference = 3 .

$\implies S_2=\dfrac{n}{2}[2a + (n-1)d]$

Substitute ,

$\implies S_2=\dfrac{25}{2}[2(4) + (25-1)3] =\boxed{ 908}$

Hence sum = 908 + 1 = 909

7 0

3 years ago

Write an equation in point-slope form for the line that has a slope of 4/5 and contains the point (−5, −3).

ankoles [38]

y = mx + b, where m = slope, and b = y-intercept.

Since you are not given the y-intercept, you have to solve for it through the equation, y = (4/5)x (which is the slope you are given) + b, and replace x and y with values given, which are (-5,-3)

y = (4/5)x + b

-3 = (4/5)(-5) + b

-3 = -4 + b

1 = b

Then replace b in the first equation to get the answer

y = (4/5)x + 1

5 0

3 years ago