Type the correct answer in each space. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Mathematics

2 answers:

kolbaska11 [484]4 years ago

7 0

Given two points (x₁,y₁) and (x₂,y₂) the slope of the line that passes through theses points will be:m=(y₂-y₁)/(x₂-x₁)
We have two points A(-2,-2) and B(2,-2); therefore the slope will be:m=(-2+2)/(2+2)=0/4=0
slope-intercept form:y=mx +bm=slopeb=y-intercept =-2
y=0x-2y=-2
Answer: The slope of diagonal AB is 0 and its equation is y=-2

Kryger [21]4 years ago

3 0

The slope of diagonal AB is 0 and its equation is y=-2

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How are part-to-part ratios different from part-to-whole ratios?

PolarNik [594]

Answer:

Step-by-step explanation:

Ratios can be of 2 types here:

Part to Part

and

Part to Whole

Part-to-Part ratios give the relationship between 2 distinct things/groups. Such as the ratio of male to female in a class, or ratio of water to sugar in a drink etc.

Part-to-Whole ratios give the relationship between one group/thing to the whole population. Such as the ratio of male to total students in a class, or the ratio of cups of sugar to total cups of drinks etc.

<u>Note:</u> If there are 2 parts in a population, we can essentially write 3 ratios. For example, the ratio of male to female in a class is 4 to 5. So in total there are 4+5 = 9 parts (whole). So we can say:

ratio of male to total population is 4 to 9

ratio of female to total population is 5 to 9

Also,

ratio of male to female (as stated before) is 4 to 5

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4 0

3 years ago

The product of a positive number and 14 more than seven times the number is 105. Find the two numbers. first number =______ and

Nostrana [21]

Let the positive number be $x$

The expression is
$x(14+7x)=105$ ⇒ expanding the bracket gives,
$14x+7 x^{2} =105$ ⇒ rearranging to equate one side to zero
$7x^{2} +14x-105=0$ ⇒ Dividing each term by 7 to simplify
$x^{2} +2x-15$ ⇒ Factorising gives
$(x+5)(x-3)=0$
$x=-5$ and $x=3$

Hence, the first number is -5 and the second number is 3

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