Answer:
80 marbles
Step-by-step explanation:
so he 50
50+20+10+50=80
so its 80 marbles
Two things must be performed to make an equation that satisfies this. First, we need to come up with a general equation that is perpendicular to the one in the problem. To do this, the reciprocal of the slope is calculated (negative inverse). The line that is perpendicular to y=1/8x + 2 has a slope of -8. This is what our equation looks like so far:
y’=-8x
This is good, but it doesn’t pass through (1,5). To make it do this, put the point in the equation and solve it - a point on a graph that intersects the line is a “solution” of the equation, so we need to solve for it!
y’ = -8x
(5) = -8(1)
Nope, 5 doesn’t equal -8. Let’s make the two sides equal by adding 13 to the right side.
y’ = -8x + 13
(5) = -8(1) + 13
5=5 - yes!
Our equation that is perpendicular to the one in the question and also passes through the point (1, 5) is y’=-8x + 13.
Hope this helps!
The original figure will be enlarged by the dilation.
The image and the pre-image will be similar figures.
The corresponding angles of the figures will be congruent.
<h3>What is
dilation?</h3>
Dilation is the increase or decrease in the size of a figure by a scale factor k. Dilation produces similar shapes.
If k > 1, this is an enlargement, if k < 1, it is a reduction.
Trevor is dilating a figure on the coordinate plane by a scale factor of 9/5 (>1). Hence:
The original figure will be enlarged by the dilation.
The image and the pre-image will be similar figures.
The corresponding angles of the figures will be congruent.
Find out more on dilation at: brainly.com/question/10253650
Sec ( -π/4 ) =
=1 / cos( -π/4 ) =
= 1 / cos (π/4 ) =
= 1 / √2/2 = 2/√2 = √2
( correct )
Answer:
The required equation is 
Step-by-step explanation:
Consider the provided equation.
Solve the equation for b.
Square both the sides.
Subtract a² from both the sides.
Square root both the sides.
Hence the required equation is
