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chubhunter [2.5K]

3 years ago

14

Find an equation of the line that passes through (6,-1) and has a slope of 3

1 answer:

Sergeu [11.5K]3 years ago

5 0

Answer:

The equation is: y y = 5/4 * x - 13

Step-by-step explanation:

The slope-intercept y = mx + c form of a straight line is In this case we have a point, (x, y) and the slope, m so all we need is a value for c. Substitute into y = mx + c - 3 = 5/4 * (8) + c - 3 = 10 + c c = - 13 y = 5/4 * x - 13 The equation is: y the formula for the situation have a point, (x 1 ,y 1 ) and the slope, Or you can use where you (m) y-y 1 =m(x-x 1 ) y - (- 3) = 5/4 * (x - 8) y + 3 = 5/4 * x - 10 y = 5/4 * x - 13 Answer link < II

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Name a tangent line in the diagram. EXPLAIN how you know it is a tangent.

jeyben [28]

Line FG would be tangent because it touches the circle without crossing over, or going through the circle

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4 years ago

Secant BE and CF intersect at point A inside D. What is the measure of BF?

svet-max [94.6K]

Answer:

$\text{BF}=80^{\circ}$

Step-by-step explanation:

We have been given a circle D. Secant BE and CF intersect at point A inside D. We are asked to find the measure of arc BF.

We know that when two secants intersect inside a circle, then the measure of angle formed is half the sum of intercepting arcs.

$m\angle EAF=\frac{\text{Measure of arc EF+Measure of arc BC}}{2}$

$70^{\circ}=\frac{\text{Measure of arc EF+Measure of arc BC}}{2}$

$2*70^{\circ}=\frac{\text{Measure of arc EF+Measure of arc BC}}{2}*2$

$140^{\circ}=\text{Measure of arc EF+Measure of arc BC}$

We know that degree measure of circumference of circle is 360 degrees, so we can set an equation as:

$\text{Arc EF+BC+EC+BF}=360^{\circ}$

$140^{\circ}+140^{\circ}+\text{BF}=360^{\circ}$

$280^{\circ}+\text{BF}=360^{\circ}$

$280^{\circ}-280^{\circ}+\text{BF}=360^{\circ}-280^{\circ}$

$\text{BF}=80^{\circ}$

Therefore, the measure of arc BF is 80 degrees.

5 0

3 years ago

A sum of money doubles in 20 years on simple interest. It will

bezimeni [28]

40 years if the rate stays the same

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3 years ago

Geometry (m<HGF=16x+4, m<EGF=110°, and m,<HGE=3x+11). Find X.

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3 years ago

For her presentation on the Wonders of the World, Mary baked a square pyramid-shaped cake as pictured below. The slant height of

miskamm [114]

Answer:

volume = 195.52 in³

Step-by-step explanation:

given data

slant height of the cake = 10 inches

base length = 8 inches

solution

we know that volume pyramid is express as

volume = $\frac{A^2\times h}{3}$ ..............1

here

we use pythagoras for height

hypotenuse² = side1² + side2²

put here value with other side is half of a square side

10² = h² + 4²

solve it we get

h = 9.165 in

so put here value in equation 1 we get

volume = $\frac{8^2\times 9.165}{3}$

volume = 195.52 in³

6 0

3 years ago