Since we have that the slope is m = 7/9 and the y-intercept is b = 12, we can write the equation of the line in slope-intercept form:
to find three coordinate points, we can use arbitrary values on x to get the y-coordinate. To make things easier, let's use x = 9, 18 and 27:
therefore, the line with slope m = 7/9 and y-intercept 12 passes through the three points (9,19), (18,26) and (27,33)
Answer:-5
Step-by-step explanation:
Answer:
18.
Step-by-step explanation:
1) formula of the perimeter given in the condition is:
p=2(VW+XV) or p=2(VY+XY).
Note, VW=XY and XV=VY;
2) if to substitute p=84, VW=2z+2 and XV=3z into the formula above, then
2(2z+2+3z)=84, ⇔ 5z+2=42; ⇒ z=8.
3) if z=8, then VW=2z+2=2*8+2=18.
The compound inequality to show the possible length of the third side is; 25 ≤ x +9+12≤ 30 and it's solution is; 4 ≤ x ≤ 9.
<h3>What is the compound inequality to represent the situation?</h3>
The required compound inequality as described in the task content in terms of the sum of all three sides is;
25 ≤ x +9+12≤ 30
25 -9 -12 ≤ x; 4 ≤ x.
x +9+12≤ 30
x ≤ 30 -9 -12
x ≤ 9
The compound solution is therefore; 4 ≤ x ≤ 9.
Read more on compound inequality;
brainly.com/question/1485854
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Answer: B) 10 three-point questions and 14 five-point questions
<u>Step-by-step explanation:</u>
x represents three-point questions
y represents five-point questions
3x + 5y = 100 → 1(3x + 5y = 100) = 3x + 5y = 100
x + y = 24 → -3(x + y = 24) = <u> -3x -3y = -72 </u>
2y = 28
y = 14 (five-point questions)
x + y = 24
x + 14 = 24
x = 10 (three-point questions)