Jesus earned 50 points in a video game. He lost 40 points, earned 87 points, then lost 30 more points. Write and evaluate an exp
1 answer:
The final score in the video game is 67.
Step-by-step explanation:
Points earned = 50 points, 87 points
Points lost = 40 points, 30 points
Let,
Plus sign (+) represent the points earned.
Negative sign (-) represent the points lost.
Therefore,
Points earned = +50, +70
Points lost = -40, -30
Adding all the points to get final score;
Final score = 50+(-40)+87+(-30)
The final score in the video game is 67.
Keywords: integers, subtraction
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Answer:
44
Step-by-step explanation:
Since triangles are similar, so their corresponding sides would be in proportion.
Therefore,
Answer:
a) (8,8,-6)
b) 4x+4y+3z = -3
Step-by-step explanation:
a)
The surface is given by the equation
f(x,y,z) = 0 where
The gradient of this function is the vector
If we evaluate it in the point P = (-2,2,1) we obtain the point
(8,8,-6)
b)
The vectors with their tails at P are of the form
(-2,2,1)-(x,y,z) = (-2-x, 2-y, 1-z)
as they must be orthogonal to the gradient, they must be orthogonal to the vector (8,8,6) so their inner product is 0
and the equation of the desired plane is
4x+4y+3z = -3
I think the question is missing some details. I found a similar question with an image as i attached in this question.
From this image, it its clear that m1, m2 and m3 refers to the angles in the middle of the rhombus
Answer:
x = 9
y = 81
z = 5
Step-by-step explanation:
Note that in rhombus, all sides are the same. If the diagonal lines are made, it will create 4 division of angles of 90 degrees.
Therefore m1 = m2 = m3 = 90 degrees
m1 = 10x and m1 =90
So, 10x = 90. Rearrange it to get x = 90/10 = 9
x = 9
m2 = x + y and m2 = 90
So, x + y = 90
9 + y = 90
y = 90 - 9 = 81
m3 = 18z and m3 = 90
So, 18z = 90
z = 90/18 = 5
