Answer:
a. y = -1/2x - 2
Step-by-step explanation:
The correct answer choice can be determined by finding the slope of the line. The slope is the ratio of rise to run.
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<h3>slope</h3>
The x-intercept is 4 units left of the y-axis. As the line "runs" those 4 units, it "rises" -2 units to intercept the y-axis at -2. The slope of the line is ...
m = rise/run = -2/4 = -1/2
In the slope-intercept form of the equation of a line, the slope is the coefficient of x. This information is sufficient to let us choose the first answer choice.
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<h3>equation</h3>
The slope-intercept equation is ...
y = mx +b . . . . . . . slope m, y-intercept b
We know the slope is -1/2, and the y-intercept is where x=0, at y=-2. Then the equation is ...
y = -1/2x -2 . . . . . matches choice A
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<em>Additional comment</em>
When answering multiple-choice questions, you only need to do enough work to tell which answers are <em>not</em> viable.
When we plot the points, we see that the line has negative slope. (eliminates choice C). The slope is shallow, rather than steep (the x-intercept is farther from the origin than the y-intercept), so the magnitude of the slope is less than 1 and choices B and D are eliminated.
Are there answer choices ?
Answer: Further explanation
There are several number operations that involve multiplication:
1. commutative
2. associative
3. closed
Multiplication between integers will produce integers too
4. distributive property
* addition
* substraction
5. identity
The multiplicative identity property is a multiplicative property in mathematics where each number multiplied by 1 will produce the original number or can be stated simply :
"The product of any number and one is that number"
So The Multiplicative Identity is 1
can be stated in the formula:
From the available answer choices
a) (- 3 + 5i) + 0 = -3 + 5i
this is an addition operation and not multiplication while O is an identity in the sum operation, so the statement is false
b) (-3 + 5i) (1) = -3 + 5i
this is a multiplication operation and 1 is a Multiplicative Identity of multiplication, so the statement is true
c) (-3 + 5i) (-3 + 5i) = -16-30i
d) (-3 + 5i) (-3 + 5i) = 16 + 30i
choice c and is a multiplication factor, so the statement is false
Step-by-step explanation:
Answer:
Step-by-step explanation:
m=p/3
t=(3/10)(1-1/3)
t=(3/10)(2/3)=p/5
p-p/3-p/5=35
(15p-5p-3p)/15=35
7p/15=35
7p=525
p=75
So the book has 75 pages.
Answer:
Volume = 1330.6cm³
Step-by-step explanation:
Step one
This problem bothers on the mensuration of solid shapes a cylinder.
We know that the volume of a cylinder is expressed as
V= πr²h
Step two
Given data
Base of the cylinder /diameter = 11cm
Hence radius = 11/2= 5.5cm
Length /height of cylinder = 14cm
Step three
Substituting our given data we have
Volume = 3.142*(5.5)²*14
Volume = 3.142*30.25*14
Volume = 1330.637cm³
to 1 decimal place we have
Volume = 1330.6cm³
