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2 years ago

Write the equation of each line in slope intercept form

Mathematics

1 answer:

aalyn [17]2 years ago

8 0

Answer:

y = 3x+2

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 3x+b

We have a point we can substitute into the line

5 = 3(1)+b

Subtract 3 from each side

5-3 =3+b-3

2 =b

y = 3x+2

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The measure of a vertex angle of an isosceles triangle is 120° and the length of a leg is 8 cm. Find the length of a diameter of

Goryan [66]

ANSWER

The length of a Diameter is 3.714

EXPLANATION

The circumscribed triangle is shown in the attachment.

We use the cosine ratio to find the altitude of the isosceles triangle.

$\cos(60 \degree) = \frac{altitude}{hypotenuse}$

$\cos(60 \degree) = \frac{altitude}{8}$

Altitude =8cos(60°)

Altitude=4cm

Let the upper half of the altitude be y cm.

Then the radius of the circle is (y-4)cm

The upper radius meets the tangent at right angles.

From the smaller right triangle,

$\sin(60 \degree) = \frac{4 - y}{y}$

$y\sin(60 \degree) = 4 - y$

$y\sin(60 \degree) + y= 4$

$(\sin(60 \degree) + 1)y= 4$

$y= \frac{4}{\sin(60 \degree) + 1}$

$y = 16 - 8 \sqrt{3}$

y=1.857

The diameter is 2y

$d = 32 - 16 \sqrt{3}$

=2(1.875)

The length of a Diameter is 3.714

7 0

2 years ago

Read 2 more answers

janie served 4 same zise pizzas at the class party. explain how to find how many slices of pizza janie served if the angle for e

guapka [62]

If each slice turns a right angle that means it turns 90* so you can only have two turns per pizza which gives 4 slices (90+90+90+90=360 - this is how many degrees in a circle) so per pizza 4 slices. For four pizzas that is 4x4 which is 16 so 16slices

8 0

3 years ago

Use the diagram to answer the question.

Firlakuza [10]

D.Q (3,0)
I think
Sorry if wrong
But I am not sure!

8 0

3 years ago

How do u do #10? Plz show on paper

Studentka2010 [4]

Reflection across the line y=x simply swaps the x and y coordinates.
K'(-2, -5), A'(1, -4), I'(-1, 0), J'(-4, -2)