Answer:
25 degree
Step-by-step explanation:
ez
there will be one solution because the lines intersect at exactly one set of points.
(0,6)(6,3)
slope(m) = (3-6) / (6-0) = -3/6 = -1/2
y = mx + b
6 = -1/2(0) + b
6 = b
y = -1/2x + 6
(0,0)(6,6)
slope(m) = (6-0) / (6-0) = 6/6 = 1
y = mx + b
6 = 1(6) + b
6 = 6 + b
6 - 6 = b
0 = b
y = x + 0
x = -1/2x + 6
1/2x + x = 6
1/2x + 2/2x = 6
3/2x = 6
x = 6/(3/2)
x = 6 * 2/3
x = 12/3 = 4
<span>solution is : (4,4)</span>
Let X = the 29% alloy and Y = the 60% alloy.
They want a total of 80kg, so you have X +Y = 80
Rewrite that to get X = 80-Y
You also want 0.20X + 0.60Y = 0.52(80)
Replace X with 80-y:
0.20(80-y) + 0.60y = 0.52(80)
Simplify:
16 - 0.20y + 0.60y = 41.6
Combine like terms:
16 +0.40y = 41.6
Subtract 16 from each side:
0.40y = 25.6
Divide both sides by 0.40
y = 25.6 / 0.40
y = 64
Now you have Y replace y with 80 in X = 80-Y
X = 80 - 64
X = 16
They need 64 Kg of the 60% alloy and 16 Kg of the 20% alloy.
Answer:
Step-by-step explanation:
From the given information.
suppose a multiple choice test consists of 5 questions, each with 4 possible answers of which 1 is correct.:
So, we can now suggest that a person can answer each question in 4 different ways given that there are 5 different questions.
Thus, the students can check off one answer to each question in 
= 4 × 34 × 4 × 4 × 4
= 1024 different ways.
From the 4 possible answers, since 1 will be correct, definitely 3 other answers will be incorrect.
Thus, the number of ways a student can check off one answer to each question and get all the answers wrong is = 3⁵
= 3 × 3 × 3 × 3 × 3
= 243 ways
The answer is -1/2
Rise/run
X=run
Y=rise
y2-y1/x2-x1
(-9)-(-3)/(8)-(-4)
-6/12
-1/2
Brainliest my answer if it helped you out?