9514 1404 393
Answer:
(d) y = -2x +8
Step-by-step explanation:
The parallel line will have the same x-coefficient, eliminating choices B and C. If it goes through point (4, 0), then (x, y) = (4, 0) will satisfy the equation.
A: 0 = -2(4) +4 = -4 . . . . . not true
D: 0 = -2(4) +8 . . . . . . . . true
The equation you're looking for is ...
y = -2x +8
__
<em>Additional comment</em>
Since you know the slope is -2 and a point on the line is (4, 0), you can use the point-slope form of the equation for a line as a starting point.
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
For m = -2, and (h, k) = (4, 0), the equation becomes ...
y -0 = -2(x -4)
Simplified to slope-intercept form, this is ...
y = -2x +8
The solutions of the equation 3x - y = 1 are (-2,-7),(-1,-4) and (3,8) thus option (A),(B) and (D) are correct.
<h3>What is the equation?</h3>
There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
In another word, the equation must be constrained with some constraints.
As per the given equation,
3x - y = 1
Substitute, x = -2
3(-2) - y = 1
y = -7 thus (-2,-7) satisfied.
Similarly (-1,-4) and (3,8) are also satisfied.
Hence "The solutions of the equation 3x - y = 1 are (-2,-7),(-1,-4) and (3,8)".
For more about the equation,
brainly.com/question/10413253
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Answer:
260,548668 or 260.55 round to the nearest hundreds
Step-by-step explanation:
Area of the trapezoid:
[(major base + minor base)x height]/2
[(22 + 12) x 12]/2 = 204 cm^2
radius = diameter / 2 = 12 / 2 = 6 cm
Area of a semicircle
(radius^2 x pi)/2 = (6^2 x pi)/2 = 56.548668 cm^2
total area = 204 + 56,548668 = 260,548668 cm^2
The answer would be 16 S'mores and the limiting reactant would be the grahams.
(This is assuming that S'mores would need 2 grahams, 1 marshmallow and 1 chocolate piece.)
Limiting reactant would be the reactant that runs out first.
Let's take your problem into account and see what we have:
48 marshallows
32 grahams (2 x 16 per pack)
45 chocolate pieces (5 x 15 pieces per bar)
Since need 2 of the grahams per S'more then the maximum yield of the grahams is 16 S'mores.
The maximum yield of marshmallows is 48.
The maximum yield of chocolate is 45.
Since you cannot make S'mores without the grahams, then you can only make 16 S'mores before the grahams run out.
Answer:
Pedro: 1481 Base hits
Ricky: 1198 Base hits
Step-by-step explanation:
First, take the total amount of base hits last season 2679, then subtract how many more Pedro has 283.
2679 - 283 = 2396 now divide the sum in half 2396 ÷ 2 = 1198 that gives you how many each player has, you're then going to add the amount that you took off to only Pedras total since he had 283 more
Pedro: 1198 + 283 = 1481
Ricky: 1198
