Answer:
4y + 24
Step-by-step explanation:
4(y + 6)
(4 * y) + (4 * 6)
(4y) + (24)
4y + 24
Answer:
The ladder can reach a height of 22.6 feet.
Step-by-step explanation:
In order to find the height that the ladder can reach, you need to use the Pythagorean Theorem. The Pythagorean Theorem assumes that the house to the ground will form a right triangle and the leaning ladder is the hypotenuse. Using the formula: a² + b² = c², we can plug in the values that we know and solve for the missing variable. In this case we know the base of the triangle 'b' and the hypotenuse 'c': a² + 8² = 24² or a² + 64 = 576. To solve for a, we must first subtract 64 from both sides: a² + 64 - 64 = 576 - 64 or a² = 512. In order to find just the value of 'a', which represents the height, we need to take the square root of both sides: √a² = √512 or a ≈ 22.6 feet.
Answer:
2x + 5y = - 15
Step-by-step explanation:
The line that passes through (–5, –1) and (10, –7) points and the point-slope form of the equation is 
.
Now, we have to arrange this in the standard form.
So,
⇒ 5(y + 7) = - 2(x - 10)
⇒ 5y + 35 = - 2x + 20
⇒ 2x + 5y = - 15 (Answer)
Answer:
same slope is parallel lines
Step-by-step explanation:
Answer:
Angle C
Step-by-step explanation:
By applying sine rule in the given triangle,
Therefore, sides of the given triangle will be in the same ratio as the sine of the angles.
Since, BD > BC > CD
Therefore, Opposite angles of these sides will be in the same ratio.
∠C > ∠D > ∠B
Largest angle of the triangle is angle C.
