Answer:
cosS is 33/65
Step-by-step explanation:
Answer:
<h2>They both have the same slope</h2>
Step-by-step explanation:
The standard equation of a given line is expressed as y = mx+c where m is the slope and c is the intercept.
given the function f(x)= 3x − 3, comparing this equation with the standard format, we will have;
mx = 3x
Divide through by x
mx/x = 3x/x
m = 3
Hence the slope of the function f(x)= 3x − 3 is 3.
For a function g(x) passing through the points (0, 2) and (1, 5), to determine the slope, we will use the formula for calculating slope expressed as;
m = Δy/Δx = y₂-y₁/x₂-x₁
From the coordinates, x₁ = 0, y₁ = 2, x₂ = 1, y₂ = 5
m = 5-2/1-0
m = 3/1 = 3
Hence the slope of g(x) passing through the points (0, 2) and (1, 5) is also 3.
<em>This shows that both functions have the same slope.</em>
Answer:
6. C. 16.64 km
7. B. P 216.00
8. B. P 565 425
9. C. 0.27
10. D. 24.6875
11. B. 3 kg
12. B. ratio
13. A. Proportion
14. D. 6:10
15. B. 2:3
Step-by-step explanation:
6. Mr. Bernard travels 5.12 km per hour on his bike. How far can he travel in 3.25 hours?
Speed = 5.12km/hr
Time = 3.25 hr
To find the distance;
Distance = speed * time
Distance = 5.12 * 3.25
Distance = 16.64 km
7. Mrs. Allysa purchased 48 pencils at P 4.50 each. How much did she pay for all the pencils?
Quantity = 48 pencils
Cost price = P 4.50
To find the total selling price;
Total = quantity * cost price
Total = 48 * 4.50
Total = P 216
8. The Villaroel family bought a 125.65 square meter lot at P 4500.00 per square meter. How much did they
pay?
Quantity = 125.65 m²
Cost price = P 4500
Total price = 125.65 * 4500
Total price = P 565425
9. What is 2.7/10 = 0.27
10. What is 98.75/4 = 24.6875
11. A store owner has 63 kilograms of candy. If she puts the candy into 21 jars, how much candy will each jar
contain?
Mass = 63 kg
Amount = 21 jars
Each jar = 63/21 = 3 kg
12. Ratio: It is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
13. Proportion: It is a statement that two ratios are equal.
14. What ratio is equal to 3:5?
We would multiply both ratio by 2
3:5 * 2 = 6:10
15. What ratio is proportional to 4:6?
We would divide both ratio by 2
4:6 / 2 = 2:3
Answer:
6. is H
7. is B
Explanation:
the communitive property states that if: a+b=c, then b+a=c
if each ballon costs 2 dollars, that would b 2x or $2 (aka the 2) for 1 balloon (aka the x) and since he has a 10$ off coupon, you have to subtract 10$ so y=2x-10
Answer:
honors
Step-by-step explanation: