Which integer is the smallest? A. -84 B. -4 OC. 34 OD. 24 Advanced Placement, AP AP Central", College Board", and SAT are tradem
1 answer:
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Answer <u>(assuming it can be in slope-intercept form)</u>:
Step-by-step explanation:
1) First, we need to find the slope of the given equation. To do that easily, convert it to slope-intercept form, represented by the formula . Isolate y:
The number in place of , or the coefficient of the x-term, represents the slope of the equation. So, the slope of the given equation is -2.
Lines that are parallel share the same slope. So, the slope of the new equation will be -2 as well.
2) Now, remember that the slope-intercept form is represented by the formula . In order to write an equation of a line using that formula, we need to substitute values for
and
. We know
is the slope, so we already know what that equals. Now, we just need to find
.
To do that, substitute -2 for in the slope-intercept formula. Additionally, substitute the x and y values of the point (2,6) for the x and y in the formula as well. This sets up the equation so that we can isolate
and find its values:
So, = 10.
3) Substitute values for and
into the slope-intercept formula to write the slope-intercept form of the line:
(1) A part to whole ratio compares different parts of the group to each others is true.
(2) the ratio 3:1 can also be written as 1 to 3 is false.
(3) A part to whole ratio can be written as a fraction, a decimal, and a percent is true.
(4) two term and three term ratios compare quantities measures in different units is false.
(1) A ratio has two parts, a numerator and a denominator.
Example: if we have 2 oranges and 3 apples in a fruit basket.
- fruits ratio = 2:3
- total fruits ratio = 5
- fraction of orange =
- fraction of apple =
This ratio compares a part of each fruit to the whole
Thus<em>, a part to whole ratio compares different parts of the group to each others is</em> true.
(2) The ratio 3:1 is written as .
Thus, <em>the ratio 3:1 can also be written as 1 to 3 is</em> false.
(3) the ratio 2:3, has the following fractions, decimal and percentage with respect to whole ratio;
- <em>fraction</em> of 2 =
, <em>decimal</em> = 0.4, <em>percentage</em> = 40%
- <em>fraction</em> of 3 =
, <em>decimal</em> = 0.6, <em>percentage</em> = 60%
Thus, <em>a part to whole ratio can be written as a fraction, a decimal, and a percent is</em> true.
(4) the units of the quantities compared have to be the same in order to find their ratios.
Thus, <em>two term and three term ratios compare quantities measures in different units is</em> false.
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