Mathematics, 05.10.2019 09:00 savannahvargas512

Hiro painted his room. after 3 hours of painting at a rate of 8 square meters per hour, he had 28 square meters left to paint.
let y represent the area (in square meters) left to paint after x hours.
which of the following information about the graph of the relationship is given?

slope and x-intercept

slope and y-intercept

slope and a point that is not an intercept

x-intercept and y-intercept

y-intercept and a point that is not an intercept

two points that are not intercepts

Answers: 2

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Answer from: claaay1

Slope and a point that is not an intercept

Step-by-step explanation:

Let

x > the time in hours

y > the area (in square meters) left to paint

we know that

Hiro paint at a rate of 8 square meters per hour

The rate is equal to the slope of the linear equation

we have the point (3, 28) ---> After 3 hours of painting, he had 28 square meters left to paint.

therefore

we have

Slope and a point that is not an intercept

Answer from: Quest

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

Which construction does the image below demonstrate? 1. an equilateral triangle circumscribed abou

Answer from: Quest

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12

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