The dinosaur's ribs and arms are at the intersection of the diagonals shown in the diagram. Compute their equations!First, compute the slopes:

Slope of l:
Slope of m:

Answers

Answer 1
Answer:

Answer:

Slope of l:    

0.5

Slope of m:  

✔-0.75

Step-by-step explanation:

Line l:

y - 4 = 0.5(x - 1)

Line m:

y - 5 = -0.75(x - 43)

last part is Line l:

y = 0.5x + 3.5

Line m:

y = -0.75x + 37.25

Answer 2
Answer:

Answer:

(Did it on edge)

Step-by-step explanation:


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Solve this inequality: 9h + 2 < –79.

Answers

The given expression of inequality can be solved as  h < -9.

What is linear inequality?

Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.

Unlike a linear equation it can have a range of values inside an interval.

The given inequality is as below,

9h + 2 < –79.

It can be solved as follows,

9h + 2 < –79

Subtract 2 from both sides to get,

9h + 2 - 2 < –79 - 2

⇒ 9h < -81

Divide by 9 on both sides as,

9h ÷ 9 < -81 ÷ 9

⇒ h < -9

Hence, the solution of the given inequality is h < -9.

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9 h +2 < - 79 

9 h < - 79 - 2

9 h < -81

h < - 81 / 9

h < - 9

hope this helps!.

At a restaurant, you eat 2 taco salads and drink two glasses of ice tea. Your friend eats 1 taco salad and drinks 1 glass of ice tea. The restaurant charges you $11 and your friend $6.50. Can you determine the prices of taco salads and ice tea? Explain.

Answers

Set up a system of equations that represent x as taco salads and y as iced tea:
2x + 2y = 11 (you)
x + y = 6.50 (your friend)
Solve the system of equations by solving one of the equations for a variable:
x+y = 6.50 (I solved for y):
y = 6.50 - x.
Plug this equation into the y of the first equation:
2x + 2(6.50 - x) = 11
Solve for x:
2x + 13 - 2x = 11
2x cancels out:
13 = 11
No solution, so it is not possible to determine the prices of the items.

What is not the sum to 13

Answers

Answer:

Step-by-step explanation:

3 plus 3 is not 13

If each light fixture on a job requires 4 lamps and each room requires 16 fixtures, how many lamps will be required for 6 rooms?

Answers

Answer:

384 lamps

Step-by-step explanation:

This is simply a multiplication problem. From the question, we know that each fixture needs 4 lamps with a single room needing 16 fixtures.

The number of lamps required by each room is thus 16 * 4 = 64 lamps

Now, the total number of lamps required by 6 rooms is thus 64 * 6 = 384 lamps

Final answer:

To find the total number of lamps required for 6 rooms, multiply the number of fixtures per room by the number of rooms, then multiply the result by the number of lamps per fixture.

Explanation:

To find the total number of lamps required for 6 rooms, we need to first determine the number of fixtures in 6 rooms. Since each room requires 16 fixtures, the total number of fixtures in 6 rooms would be 16 x 6 = 96 fixtures.

Each fixture requires 4 lamps, so to find the total number of lamps required for 96 fixtures, we multiply 96 x 4 = 384 lamps.

Therefore, 384 lamps will be required for 6 rooms.

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find the indicated terms of the arithmetic sequence with the given description. the 50th term is 1001, and the common difference is 6. find the first and second terms.

Answers

Answer:

a₁ = 707 a₂ = 713

Step-by-step explanation:

the nth term of an arithmetic sequence is

a_(n) = a₁ + (n - 1)d

a₁ is the first term, d the common difference , n the term number

given

a₅₀ = 1001 , then

a₁ + 49d = 1001 ← substitute d = 6

a₁ + 49(6) = 1001

a₁ + 294 = 1001 ( subtract 294 from both sides )

a₁ = 707

and a₂ = a₁ + d = 707 + 6 = 713

If y varies directly as x and y = 49 when x = 7, what is the value of y when x = 3?

Answers

Direct variation:
y=kx

y=49 when x=7.
49=7k \nk=(49)/(7) \nk=7

y=? when x=3.
y=7 * 3 \ny=21

y=21 when x=3.
y=21 because 3/21=7 and 7*3=21 so Y=21