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3 years ago

2 1/2 +2/3 Thank you!

Mathematics

1 answer:

MArishka [77]3 years ago

6 0

Answer:

3 1/6

Step-by-step explanation:

2 1/2 + 2/3 = 2 3/6 + 4/6. add 3 and 4, you get 2 7/6. simplify by taking 6 from 7 and add 1 to 2. that leaves you with the answer

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Write an equation (a) in slope-intercept form and (b) in standard form for the line passing through (-3,5) and parallel to x + 4

Dmitry [639]

Answer:

$\boxed{\sf Standard-form :x + 4y -17=0 }\\$

$\boxed{\sf Slope-intercept\ form :y =\dfrac{-1}{4}x +\dfrac{17}{4}}$

Step-by-step explanation:

Here a equation of the line is given to us and we need to find out the equation of line which passes through the given point and parallel to the given line , the given equation is ,

$\longrightarrow x + 4y = 7\\$

Firstly convert it into slope intercept form of the line which is y = mx + x , as ;

$\longrightarrow 4y = -x + 7 \\$

$\longrightarrow y =\dfrac{-x}{4}+\dfrac{7}{4}\\$

On comparing it to y = mx + c , we have ,

$\longrightarrow m =\dfrac{-1}{4}\\$

$\longrightarrow c =\dfrac{7}{4}\\$

Now as we know that the slope of two parallel lines is same . Therefore the slope of the parallel line will be ,

$\longrightarrow m_{||)}=\dfrac{-1}{4}\\$

Now we may use point slope form of the line as ,

$\longrightarrow y - y_1 = m(x-x_1) \\$

On substituting the respective values ,

$\longrightarrow y - 5 =\dfrac{-1}{4}\{ x -(-3)\}\\$

$\longrightarrow y -5=\dfrac{-1}{4}(x+3)\\$

$\longrightarrow 4(y -5 ) =-1(x +3) \\$

$\longrightarrow 4y -20 = - x -3 \\$

$\longrightarrow x + 4y -20+3=0\\$

$\longrightarrow \underset{Standard \ Form }{\underbrace{\underline{\underline{ x + 4y -17=0}}}} \\$

Again the equation can be rewritten as ,

$\longrightarrow y - 5 = \dfrac{-1}{4}(x +3) \\$

$\longrightarrow y = \dfrac{-1}{4}x -\dfrac{3}{4}+5 \\$

$\longrightarrow y = \dfrac{-1}{4}x -\dfrac{20-3}{4} \\$

$\longrightarrow \underset{Slope-Intercept\ form }{\underbrace{\underline{\underline{ y =\dfrac{-1}{4}x +\dfrac{17}{4}}}}}\\$

6 0

2 years ago

Elena's account balance with her parents is -5.50$ she adds a certain amount of money to her balance by mowing

8090 [49]

Answer:

big dawg

Step-by-step explanation:happy

4 0

3 years ago

Read 2 more answers

Most __________ signs are rectangular, with the longer dimension vertical, and have a white background.

Furkat [3]

Answer:

Regulatory

Step-by-step explanation:

the rectangular sign with longer vertical dimension and have white background are called regulatory signs.

regulatory signs are those signals which are used to indicate or reinforce traffic laws.

these regulatory sign informs the driver and tell them to apply the traffic law at certain required places.

6 0

3 years ago

Use the spinner to determine the probability of each outcome type your answers as fractions in simplest form. Fractions should b

DaniilM [7]

Answer:

Probability of spinning a 1 is 25 percent.

Probability of spinning an even number is 50 percent

Probability of spinning a 5 is 0 percent

probability of spinning an odd number is 50 percent

Step-by-step explanation:

5 0

3 years ago

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For skewed data displays, the median is often a better esitmate of the center of distribution than the mean, but

bazaltina [42]

For skewed data displays, the median is often a better estimate of the center of distribution than the mean because the former is unaffected by large numbers.

Mean refers to the average of set of two or more numbers.

Mean of a set having 'n' numbers = $\frac{Sum Of 'n' Numbers}{n}$

<h3>What is median?</h3>

Median refers to the middle-most value of a list of numbers, arranged either in ascending or descending order.

Median = $\left \{ {{\frac{n}{2}^{th} term, if n = even } \atop( (\frac{n-1}{2}+\frac{n+1}{2})/2)^{th} term, if n = odd }} \right.$

Now,

Since it takes the average of all the values in the data set, the mean is the most widely used measure of central tendency.
Because it is unaffected by exceptionally big numbers, the median performs better than the mean when analyzing data from skewed distributions.

Hence, For skewed data displays, the median is often a better estimate of the center of distribution than the mean.

To learn more about mean and median, refer to the link:brainly.com/question/6281520

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7 0

1 year ago