Answer:
A. (0, -2) and (4, 1)
B. Slope (m) = ¾
C. y - 1 = ¾(x - 4)
D. y = ¾x - 2
E. -¾x + y = -2
Step-by-step explanation:
A. Two points on the line from the graph are: (0, -2) and (4, 1)
B. The slope can be calculated using two points, (0, -2) and (4, 1):
Slope (m) = ¾
C. Equation in point-slope form is represented as y - b = m(x - a). Where,
(a, b) = any point on the graph.
m = slope.
Substitute (a, b) = (4, 1), and m = ¾ into the point-slope equation, y - b = m(x - a).
Thus:
y - 1 = ¾(x - 4)
D. Equation in slope-intercept form, can be written as y = mx + b.
Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.
y - 1 = ¾(x - 4)
4(y - 1) = 3(x - 4)
4y - 4 = 3x - 12
4y = 3x - 12 + 4
4y = 3x - 8
y = ¾x - 8/4
y = ¾x - 2
E. Convert the equation in (D) to standard form:
y = ¾x - 2
-¾x + y = -2
Answer:
15) 20.4
16) 40.4
17) 2.5
18) 32
Step-by-step explanation:
15) Use the calculator: 42.7/11.1*5.3
16) Use the calculator: 121.1/3
17) Use the calculator: 32.5/ (42.9/3.3)
18) 28.8/ (1.8/2)
If n>4, then n+3<2n<3n-2 (n+3<2n is true because this unequality is equivalent to 3<n and 2n<3n-2 is also true because this unequality is equivalent to 2<n). Hence, the side AC is the smallest one and the side AB is the biggest one.
The largest side is opposite the largest angle, the medium side is opposite the medium angle and the smallest side is opposite the smallest angle.
Then, m∠B<m∠A<m∠C.
Answer: m∠B<m∠A<m∠C.
Answer:
165 mL
Step-by-step explanation:
Density is mass divided by volume:
D = M / V
Solving for volume:
V = M / D
The density is given in g/mL. So first let's convert the mass from kg to g:
2.25 kg × (1000 g / kg) = 2250 g
Plugging in values:
V = (2250 g) / (13.6 g/mL)
V = 165.4 mL
Rounded to 3 significant figures, the volume is 165 mL.
**THE PERSON UNDER ME IS ALSO CORRECT, THIS IS JUST ANOTHER WAY TO APPROACH RATIOS**
Explanation: Ratio seldom compares two numbers by dividing them (this depends on the problem). We are given A 16 computers and B 26 chairs. Therefore we have the formula of A/B.For example 16/26
Solving: Divide A by B: 16/26= 0.615 or 0.6
Multiple: Multiple the quotient by 100 in order to get the percentages. 0.615 x 100 = 61.5% (if you rounded 0.61, the answer would be 60%; for this problem I didnt round hence, 61.5%)
Answer: 61.5 %
Side note: I hope this helps, feel free to let me
know if you have anymore questions.