we are given two points as
(2,4) and (-2,-4)
Let's assume
first point as (x1,y1)=(2,4)
so, x1=2 and y1=4
Second point as (x2,y2)=(-2,-4)
so, x2=-2 and y2=-4
now, we can use slope formula
now, we can plug values
now, we can simplify it
so, slope is 2 ..................Answer
Answer:
(7/8 - 4/5)^2 = 9/
1600
= 0.005625
Step-by-step explanation:
Subtract: 7/
8
- 4/
5
= 7 · 5/
8 · 5
- 4 · 8/
5 · 8
= 35/
40
- 32/
40
= 35 - 32/
40
= 3/
40
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(8, 5) = 40. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 5 = 40. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - seven eighths minus four-fifths = three fortieths.
Exponentiation: the result of step No. 1 ^ 2 = 3/
40
^ 2 = 32/
402
= 9/
1600
In words - three-fortieths squared = nine one-thousand six-hundredths.
Answer:
a. 129 meters
Step-by-step explanation:
The given parameters of the tree and the point <em>B</em> are;
The horizontal distance between the tree and point <em>B</em>, x = 125 meters
The angle of depression from the top of the tree to the point <em>B</em>, θ = 46°
Let <em>h</em> represent the height of the tree
The horizontal line at the top of the tree that forms the angle of depression with the line of sight from the top of the tree to the point <em>B</em> is parallel to the horizontal distance from the point <em>B</em> to the tree, therefore;
The angle of depression = The angle of elevation = 46°
By trigonometry, we have;
tan(θ) = h/x
∴ h = x × tan(θ)
Plugging in the values of the variables gives;
h = 125 × tan(46°) ≈ 129.44
The height of the tree, h ≈ 129 meters
4 cups of blue paint and 8 cups of red paint
explanation
to pour one cup of blue paint, two cups of red paint has to be poured.
since when you add both those it adds to 3
so multiply each by 4 to get 4 cups of blue paint and 8 cups of red paint
Y=250+2x is the amount she spends
y=12x is the amount she makes
If the amount she spent = the amount she makes then she break even
250+2x=12x
250=12x-2x
250=10x
So x = 250/10=25 necklaces she needs to sell to break even
Answer is 25 necklaces
