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Oliga [24]
3 years ago
6

The scale of a map (in centimeters) says that 4cm represents 5km.

Mathematics
1 answer:
Firlakuza [10]3 years ago
5 0

Answer:

16/5 or 3.2

Step-by-step explanation:

4cm/5km = x/4km

Cross multiply to find answer

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Equation for a parabola with a focus of (2, -2) and a directrix of y=-8
Fantom [35]

Answer:

y=1/8(-x^2+4x+44

Step-by-step explanation:

In this question the given focus is (2,4) and a directrix of y = 8 and we have to derive the equation of the parabola.

Let (x,y) is a point on the given parabola.Then the distance between the point (x,y) to (2,4) and the distance from (x,y) to diractrix will be same.

Distance between (x,y) and (2,4)

= √(x-2)²+(y-4)²

And the distance between (x,y) and directrix y=8

= (y-8)

Now √(x-2)²+(y-4)² = (y-8)

(x-2)²+(y-4)² = (y-8)²

x²+4-4x+y²+16-8y = y²+64-16y

x²+20+y²-4x-8y = y²-16y+64

x²+20-4x-8y+16y-64=0

x²+8y-4x-44 = 0

8y = -x²+4x+44

5 0
3 years ago
Read 2 more answers
For a project, Gabrielle made a model of an Egyptian pyramid. The square base has a side length measuring 10 inches. The pyramid
Varvara68 [4.7K]
The pyramid is shown in the diagram below.
The pyramid is built from four congruent triangles and one square as the base

We have the side of the square, so the area is = 10×10 = 100

We need the height of the triangle to work out its area. We can find out by using the height of the pyramid and half of the length of the side of the square.

Using the Pythagoras rule
Height of triangle = \sqrt{12^{2}+ 5^{2} } =13

Area of one triangle = 1/2×10×12=60
Surface area of the pyramid = 100 + (4×60) = 340 square inches

3 0
3 years ago
Read 2 more answers
Two mathematical questions attached below.
BartSMP [9]

Answer:

See below

Step-by-step explanation:

9.( {m}^{3}  {n}^{5} )^{ \frac{1}{4} }   \\   =  m^{\frac{3}{4}}n^{\frac{5}{4}}\\  \\ 10. \sqrt[5]{ \sqrt[4]{x} }  \\  =  \sqrt[5]{ {x}^{ \frac{1}{4} } }  \\  =  {( {x}^{ \frac{1}{4} } )}^{ \frac{1}{5} }  \\   =  {x}^{ \frac{1}{4}  \times  \frac{1}{5} }  \\  =  {x}^{ \frac{1}{20} }  \\  \\ \sqrt[5]{ \sqrt[3]{ {a}^{2} } }  \\  =  \sqrt[5]{ {a}^{ \frac{2}{3} } }  \\  =  {( {a}^{ \frac{2}{3} } )}^{ \frac{1}{5} }  \\   =  {a}^{ \frac{2}{3}  \times  \frac{1}{5} }  \\  =  {a}^{ \frac{2}{15} }

4 0
2 years ago
This is very confusing
drek231 [11]

Answer:

13

Step-by-step explanation:

6 0
2 years ago
A student solved log4(2x – 12) = 3, as shown. Which did you include in your answer?
siniylev [52]

Answer:

x = 38

Step-by-step explanation:

using the law of logarithms

• log_{b} x = n ⇔ x = b^{n}, hence

log_{4}(2x - 12) = 3 ⇒ 2x - 12 =  4^{3} = 64

add 12 to both sides

2x = 76 ( divide both sides by 2 )

x = 38


5 0
3 years ago
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