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Anastasy [175]
2 years ago
15

} " alt=" \huge\fbox\green{QUESTION} " align="absmiddle" class="latex-formula">
\mathsf \blue{calculate \: the \: gradient}
​

Mathematics
1 answer:
Anni [7]2 years ago
3 0

\huge \fbox \orange{♧Answer♧}

\mathcal\blue{METHOD\:1}

\mathsf \purple{ - ( \frac{y}{x} )}

\mathsf \purple{ - ( \frac{ - 4}{5})}

\mathsf \purple{( \frac{4}{5} )}

\mathcal\blue{METHOD\:2}

\mathsf\purple{m\:=\:(Y2\:-\:Y1)\:÷\:(X2\:-X1)}

\mathsf\purple{m\:=\:(-4\:-0)\:÷\:(0\:-\:5)}

\mathsf\purple{( \frac{4}{5})}

\mathcal\blue{METHOD\:3}

\mathsf\purple{m\:=\:rise\:÷\:run}

\mathsf\purple{m\:=\:( \frac{4}{5})}

\mathbb\pink{NOTE:}

  • The difference between the y-coordinates of the two points is called the rise.
  • The difference between the x-coordinates of the same two points is called the run.
  • The slope can be calculated by dividing the rise by run.
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At a school with 100​ students, 33 were taking​ Arabic, 39 ​Bulgarian, and 40 Chinese. 14 students take only​ Arabic, 19 take on
barxatty [35]

Answer:

6 students are taking all three

20 students are taking none.

Step-by-step explanation:

Please check image attached.

From the total of 33 that are taking Arabic, 14 only take Arabic and 13 take Arabic and Bulgarian (b + d), so the students that take only Arabic and Chinese together is:

a = 33 - 14 - 13 = 6

From the total of 39 that are taking Bulgarian, 19 only take Bulgarian and 13 take Arabic and Bulgarian, so the students that take only Bulgarian and Chinese together is:

c = 39 - 19 - 13 = 7

Now, from the total of 40 that are taking Chinese, 21 only take Chinese, 6 take only Arabic and Chinese and 7 take only Bulgarian and Chinese, so the number of students that take all three languages is:

d = 40 - 21 - 6 - 7 = 6 students

The number of students that take any language is 14 + 19 + 21 + 6 + 7 + 13 = 80 students, so 100 - 80 = 20 students take none of the three languages

4 0
4 years ago
The ratio of mango ice cream to strawberry ice cream is 2 : 5 .Total no. of ice cream is 49.what is the no. of strawberry ice cr
WARRIOR [948]

Answer:

35

Step-by-step explanation:

First, we add the ratio of the mango to strawberry ice cream and we're going to end up with 2+5=7. If we divide 49 by 7, we're going to find out how much we need to multiply to both sides of the ratio to get the specific amounts. So, if we multiply 7 (49/7) to 5, we're going to get 35. Therefore the number of strawberry ice cream is 35.

Also, we can check this by multiplying 7 to 2 as well, where we will end up with 14. 35 + 14 = 49 so we know this is correct!

7 0
3 years ago
Please answer this! & explain how to get the answers.
konstantin123 [22]

 (x - 2) • (x - 3) • (x - 4) • (x - 5)

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 ((((x4)-(14•(x3)))+71x2)-154x)+120

Step  2  :

Equation at the end of step  2  :

 ((((x4) -  (2•7x3)) +  71x2) -  154x) +  120

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,3 ,4 ,5 ,6 ,8 ,10 ,12 ,15 , etc

6 0
3 years ago
<img src="https://tex.z-dn.net/?f=4859%20%5Cdiv%2023" id="TexFormula1" title="4859 \div 23" alt="4859 \div 23" align="absmiddle"
DerKrebs [107]
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