Where does a mathematician go when she commits a crime?

Mathematics

1 answer:

wlad13 [49]3 years ago

4 0

To prison or to the cemetery

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if the graph of an exponential function passes through the points (1,6) and (4,48) find an equation of the function

german

When you write an equation of a line, you first have to find the slope. The equation for slope is (y∨2 - y∨1) / (x∨2 - x∨1), so fill that in with your coordinates.

(48 - 6) / (4 - 1) Subtract your two sets.
42 / 3 Divide
14

So, you know the slope of the equation is 14. Now, you fill in the point-slope equation, (y - y∨1) = m(x - x∨1). Fill it in with one set of coordinates and solve.

(y - 6) = 14(x - 1) Distributive Property
y - 6 = 14x - 14 Add 6 to both sides.
y = 14x - 8

4 0

3 years ago

Read 2 more answers

A triangular colourful scenery is made in a wall with sides 50 cm, 50 cm and 80 cm. A golden thread is to hang from the vertex s

gayaneshka [121]

Answer: The required length of the golden thread needed is 30 cm.

Step-by-step explanation: Given that a triangular colorful scenery is made in a wall with sides 50 cm, 50 cm and 80 cm. A golden thread is to hang from the vertex so as to just reach the side 80 cm.

We are to find the length of the golden thread required.

As shown in the attached figure below, ABC is the triangular scenery with sides

AB = AC = 50 cm and BC = 80 cm.

AD is drawn perpendicular to BC, so that AD is the length of the golden thread required to reach side BC with length 80 cm from the vertex A.

Now, since AD ⊥ BC and ΔABC is isosceles (AB = AC), so we must have

D is the midpoint of BC.

That is,

$BD=DC=\dfrac{1}{2}BC=\dfrac{1}{2}\times0=40.$

Now, from the right-angled triangle ABD, we have

$AB^2=BD^2+AD^2\\\\\Rightarrow AD^2=AB^2-BD^2\\\\\Rightarrow AD^2=50^2-40^2\\\\\Rightarrow AD^2=2500-1600\\\\\Rightarrow AD^2=900\\\\\Rightarrow AD=30.$