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3 years ago

10

How do you simplify with the distribute property

1 answer:

alexandr402 [8]3 years ago

6 0

The way we always learned was
PEMDAS
P-- parenthesis
E-- exponents
M-- multiply
D--divide
A-- add
S-- subtract

do those in order

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Two vertical poles of heights 60 ft and 80 ft stand on level ground, with their bases 100 ft apart. A cable that is stretched fr

Andreyy89

Answer:

Step-by-step explanation:

Given

height of two Poles are 60 and 80 ft

Distance between them is 100 ft

Let x be the distance of Pole of ht 80 ft from Point of stretch

thus length of rope is given by

$L=L_1+L_2$

$L_1=\sqrt{80^2+x^2}$

$L_2=\sqrt{60^2+(100-x)^2}$

$L=\sqrt{80^2+x^2}+\sqrt{60^2+(100-x)^2}$

differentiate w.r.t x we get

$\frac{\mathrm{d} L}{\mathrm{d} x}=\frac{2x}{2\sqrt{80^2+x^2}}-\frac{2\left ( 100-x\right )}{\sqrt{60^2+\left ( 100-2x\right )^2}}$

Put $\frac{\mathrm{d} L}{\mathrm{d} x}=0$ to get minimum value

$\frac{2x}{2\sqrt{80^2+x^2}}=\frac{2\left ( 100-x\right )}{\sqrt{60^2+\left ( 100-2x\right )^2}}$

squaring

$x^2\left ( (100-x)^2+60^2\right )=(100-x)^2(80^2+x^2)$

Rearranging

$28x^2-1800x+640000=0$

$x=\frac{400}{7}$

thus $L_1=98.312 ft$

$L_2=73.73 ft$

$L=172.04 ft$

7 0

3 years ago

Can anyone HELP with my HOMEWORK for GRADE‼️

noname [10]

Answer:

The coordinates of point C are (a,0).

Step-by-step explanation:

Given information: ABC is right isosceles triangle.

From the given figure it is noticed that the side BC is hypotenuse of the triangle ABC.

By pythagoras theorem,

$hypotenuse^2=leg^2+leg^2$

$hypotenuse^2=2leg^2$

$hypotenuse=leg\sqrt{2}$

Therefore hypotenuse cannot be equal to leg. So, we can say that in triangle ABC,

$AB=AC$

Length of AB is

$AB=\sqrt{(a-0)^2+(0-0)^2}=a$

From the figure it is noticed that the point C lies on the x-axis, therefore the y-coordinates of C is 0.

Let the coordinates of C be (x,0) and length of AC must be a.

$AC=\sqrt{(x-0)^2+(0-0)^2}$

$a=x$

Therefore coordinates of point C are (a,0).

5 0

4 years ago

Notes on how to multiply/divide with scientific notation

snow_tiger [21]

Answer:

Treat the numbers separately and powers separately.

Multiply the two results at the end.

Example:

(2×10⁵) ÷ (4×10²)

(2 ÷ 4) × (10⁵ ÷ 10²)

0.5 × 10³

5.0 × 10²

3 0

3 years ago

Nick bought a pair of glasses for $200. He later saw the same glasses advertised for 20% less than what he originally paid. What

alexandr402 [8]

$160

.20 * 200= 40

200-40=160

8 0

3 years ago

Read 2 more answers

Manuel is standing 5.3m north of jackets. Rowyn is standing 2.5m west of the jackets . Dennis is standing 1.9m east of the jacke

kkurt [141]

He would be standing 5.3+2.5=7.8

so hes standing 7.8m away

4 0

3 years ago