Step-by-step explanation:
Perpendicular slopes must be opposite reciprocals of each other: m1 * m2 = –1
4x+ y= 3
y= -4x + 3
slope = -4
the new slope = 1/4
the equation formula y= mx+b
m = new slope
y = (x/4) + b
From the point given (4,-3)
y = -3. x = 4
-3 = 1 + b
b = -4
the equation =
Answer:
x = - 5, x = - 3
Step-by-step explanation:
Given
x² + 15 = - 8x ( add 8x to both sides )
x² + 8x + 15 = 0 ← in standard form
Consider the factors of the constant term (+ 15) which sum to give the coefficient of the x- term (+ 8)
The factors are 5 and 3, since
5 × 3 = 15 and 5 + 3= 8, thus
(x + 5)(x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x + 3 = 0 ⇒ x = - 3
A 30-60-90 triangle is special because of the relationship of its sides. Also <span>It turns out that in a 30-60-90 triangle, you can find the measure of any of the three sides, simply by knowing the measure of at least one side in the triangle.
Hope this helps. :)</span>
Answer:
Step-by-step explanation:
Answer: blue= 93.625
Step-by-step explanation:
Let the red ball be y
Four times of red is 4y
And blue is seven times of red which means 7(4y)
4y+7(4y)=107
Open the bracket
4y+28y=107
32y=107
y=107/32
Make y the subject of formula
y=3.34
Therefore,blue is
7(4(3.34))
Blue= 93.625
