Answer:
<u>The two numbers are 23 and 56</u>
Step-by-step explanation:
Let's say the two numbers are A and B.
We are told:
1) A+B=79
2) 3A+5B=283
Let's take the first expression and solve for A:
A+B=79
A=79-B
Now use this value of A in the second expression:
3A+5B=283
3(79-B)+5B=283
237-3B+5B=283
2B = 46
B = 23
Since B=23, we know from 1) that
A+B=79
A+23=79
A = 56
<u>CHECK:</u>
Does A+B=79?
56+23 = 79? <u>YES</u>
Does 3A+5B=283?
3(56)+5(23)=283
168 + 115 = 283? <u>YES</u>
Answer:
Step-by-step explanation:
Given the coordinate points (6, -3) and (7, -10), we are to find the equation of a line passing through this two points;
The standard equation of a line is y = mx+c
m is the slope
c is the intercept
Get the slope;
m = Δy/Δx = y2-y1/x2-x1
m = -10-(-3)/7-6
m = -10+3/1
m = -7
Get the intercept;
Substitute the point (6, -3) and m = -7 into the expression y = mx+c
-3 = -7(6)+c
-3 = -42 + c
c = -3 + 42
c = 39
Get the required equation by substituting m = -7 and c= 39 into the equation y = mx+c
y = -7x + 39
Hence the required equation is y = -7x + 39
I don't know about the first one but for the second one:

Answer:
A = 3 ft, B = 7 ft, C = 4 ft, D = 5 ft, Surface Area = 96 ft^2
Step-by-step explanation:
<u>Step 1: Determine the sides</u>
A → 3 ft
B → 7 ft
C → 4 ft
D → 5 ft
<u>Step 2: Determine the surface area</u>
Area of the sides



Area of the top and bottom triangles

Total Area


Answer: A = 3 ft, B = 7 ft, C = 4 ft, D = 5 ft, Surface Area = 96 ft^2