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Lady_Fox [76]
2 years ago
9

Find the x and y-intercept of the line −5x + 3y = −24

Mathematics
1 answer:
AnnyKZ [126]2 years ago
6 0

Answer:

x-intercept is 24/5

y-intercept is -8

Step-by-step explanation:

-5x+3y = -24

when x = 0...

y = -24/3 = -8

when y = 0

x = 24/5

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What is the equation in slope intercept form?
patriot [66]

Answer:

Step-by-step explanation:

The line has a slope of -1/3. For lines to be perpendicular there product must equal negative 1

m1(m2)=-1

-m/3=-1

m=3

So we know our line has a slope of three so

y=3x+b, we can solve for the y intercept, b, using point (-2,8)

8=3(-2)+b

8=-6+b

b=14, so our line is

y=3x+14

8 0
2 years ago
Find the 85th term of the arithmetic sequence – 25, -37, -49, ...
nasty-shy [4]

Answer:

a(85) = -1033

Step-by-step explanation:

Explicit Arithmetic Sequence:

an = a1 + d(n-1)

d = -12 (by -37 + 25)

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a(85) = -1033

5 0
2 years ago
Read 2 more answers
When the positive integer n is divided by 7, the remainder is 2. What is the remainder when 5n is divided by 7?
ser-zykov [4K]

Therefore the reminder is 3 when 5n is divided by 7.

Step-by-step explanation:

we know that

Dividend = quotient × Divisor +Reminder

⇔ n = Q(n) × 7 + 2          [ let Q(n)  is quotient]

multiplying by 5 both sides

5n = 5 Q(n) ×7 + 2×5

⇔5n = 5 Q(n) ×7 +10

⇔5n=  5 Q(n) ×7 +7 +3

⇔ 5n = (5Q(n) +1) × 7 +3

Therefore the reminder is 3 when 5n is divided by 7.

6 0
3 years ago
Leora wants to paint the nursery in her house. The nursery is an 8–by–10–foot rectangle, and the ceiling is 10 feet tall. There
tatuchka [14]

Answer:

The correct answer is - 242 ft^2

Step-by-step explanation:

Given:

one door : 3*6.5 => 19.5 ft^2

other door: 3*6.5 => 19.5 ft^2

a window: 2*3.5 => 7 ft^2

total =       46 ft^2

area of all four walls: 2h (l+b)

= 2(8) (10+8)

= 16 (18)

= 288 ft^2

paint required excluding doors and window:

=> area of your wall - (area of doors and window)

=> 288 - 46

= 242 ft^2

4 0
3 years ago
If f(x)=3^2-1 and g(x)=x+2 find (f+g)(x)
Dovator [93]
9 - 1 + x + 2 ( x )
9x - x + x2 + 2x
x2 + 10x
6 0
3 years ago
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