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Delvig [45]
3 years ago
12

Write 0.0000789 In scientific notation

Mathematics
1 answer:
marta [7]3 years ago
5 0

Answer:

7.89*10^-5

Step-by-step explanation:

First nonzero digit is 5 places to the right of the decimal point

0.0000<u>7</u>89

move decimal point over 5 places

7.89

mulitply by 10^-5 because the decimal point moved 5 places

7.89*10^-5

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Find a fraction equivalent to 5/7 whose squared terms add up to 1184.
bogdanovich [222]

The system of equations of two unknowns is formulated and solved.

\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left\{\begin{matrix} \ \ \ \dfrac{x}{y} = \dfrac{5}{7} \\ x^2+y^2 = 1184 \end{matrix}\right. \ \Longrightarrow \ x=\dfrac{5}{7}y  } \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left (\dfrac{5}{7}y \right )^2+y^2=1184\ \Longrightarrow\ 25y^2+49y^2=58016 } \end{gathered}$}

                                                              \large\displaystyle\text{$\begin{gathered}\sf \bf{74y^{2}=58016} \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \  \ \ \ \ y^{2}=784 } \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \ \ \ \ y=\pm\sqrt{784}=\pm28  } \end{gathered}$}

                                                                  \large\displaystyle\text{$\begin{gathered}\sf \bf{ x=\dfrac{5}{7}(\pm 28)=\pm 20  } \end{gathered}$}

The fraction that satisfies the request is \bf{\dfrac{20}{28}} , since in \bf{\dfrac{-20}{-28}} the negative signs are canceled and the first fraction is obtained.

3 0
2 years ago
Calculate the slope of the points (-2, -1) and (3, 4). Show all of your work.
LiRa [457]
Slope formula;

m = y2 - y1/ x2 - x1     (-2, -1), (3, 4)

m = 4 - (-1)/ 3 - (-2)

m = 5/5

m = 1 

the slope is 1.

hope this helps, God bless!
8 0
3 years ago
Find the decimal equivelent to 2/11 what kind of decimal is it
kolbaska11 [484]

Answer:

Simply divide the numerator by the denominator:

= 2/11

= 2 ÷ 11

= 0.18181818181818

pls mark me as the brainliest

8 0
3 years ago
Your kite is stuck in a tree that is 40 feet tall. The angle your string makes with the ground is 72°. Rather than worrying abou
Debora [2.8K]

Answer:

42 feet of string

Step-by-step explanation:

First, draw a diagram of the string, the height and the angle.

the length of the string is equal to the hypotenuse of the triangle

let length of the string=x

sin(θ)=opp/hyp

sin(72°)=40ft/x

x=40ft/sin(72°)

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3 years ago
The function g(x) = x2 – 10x + 24 is graphed on a coordinate plane. Where will the function cross the x-axis
vivado [14]

Answer:

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3 years ago
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