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2 years ago

Write an equation for the line in slope-intercept form

Mathematics

1 answer:

choli [55]2 years ago

4 0

Points: (0,4) and (2,-3)
Find slope: (-3-4)/(2) = -7/2
4 = -7/2(0) + b, b = 4
Equation: y = -7/2x + 4

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Quadrilateral ABCD has opposite sides that are parallel and side AB congruent to side DC. What classification can be given to AB

Helen [10]

I think the correct answer from the choices listed above is option B. Quadrilateral ABCD must be a rectangle because it is characterized by having opposite sides that are parallel and side AB congruent to side DC which are characteristics of a rectangle.

8 0

3 years ago

Read 2 more answers

2. Use the following picture for this question:

Art [367]

Answer:

a. $24\sqrt{3}$ and 41.6

b. 52.1

Step-by-step explanation:

Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.

Note: the exact value of tan 60 is $\sqrt{3}$

Thus, we can write $Tan(60)=\frac{y}{24}\\y=24*Tan(60)\\y=24*\sqrt{3} \\y=24\sqrt{3}$

Approximate value (rounded to nearest tenth): $24\sqrt{3} =41.6$

Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.

Thus we can write and solve:

$Sin(53)=\frac{41.6}{x}\\x=\frac{41.6}{Sin(53)}=52.1$

4 0

2 years ago

3 + 5x - 10 = 13, Whats x?

Romashka [77]

Hi there, 3+-10=-7 so, -7+5x=13. First, we add -7 to both sides, which gives us 5x=13+7, 13+7=20, so 5x=20. Now, we divide both sides by 5, Therefore, x=4

5 0

2 years ago

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Solve1 over 25 = 5^x ^+ 4. x = -7/2 x = −6 x = 9/2 x = 2

Basile [38]

The equation seems to be

   1
-------- = 5 ^ (x + 4)
25

In that case, this is the solution, stept by step:

1) factor 25: 25 = 5^2

      1
=> ----------- = 5^(x + 4)
       5^2

2) invert 5^2

=> 5^(-2) = 5^(x+4)

3) Given that the bases are equal, the exponents also have to be equal:

=> - 2 = x + 4

3) transpose +4:

=> - 2 - 4 = x

=> x = - 6

Answer: - 6

6 0

3 years ago

What is the linear equation 1-3y=4

TEA [102]

1-3y = 4

3у=1-4

3у=-3

У=-1.

6 0

2 years ago