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4 years ago

Completely factor the equation: 35 + 5x

Mathematics

1 answer:

OlgaM077 [116]4 years ago

5 0

5 (x + 7) is the answer

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Solve for x in the equation x^2+11x

suter [353]

Answer:

Pretty sure it would be the last one.

Not sure if you want me to do the work. All I can say is that it would be<em> very long.</em>

6 0

3 years ago

Read 2 more answers

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

How many packest of sweets each containing 250g can be made from 10kg?

exis [7]

40 Packets. 1,000g = 1kg. 250g x 4 = 1kg (1kg = 4 Packets). 1kg x 10 = 10kg (4 Packets x 10 = 40 Packets)

5 0

4 years ago

What is the rule for the function shown in the table?

lisabon 2012 [21]

Answer:

y = - 3x - 2

Step-by-step explanation:

The function is linear and can be expressed in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (- 1, 1) ← 2 ordered pairs from the table

m = $\frac{1-4}{-1-(-2)}$ = $\frac{-3}{-1+2}$ = $\frac{-3}{1}$ = - 3 , then

y = - 3x + c

To find c substitute any ordered pair into the equation

using (0, - 2 ) , then

- 2 = - 3(0) + c = 0 + c ⇒ c = - 2

y = - 3x - 2 ← function rule

8 0

3 years ago

WILL MARK BRAINLIEST A satellite is to be put into an elliptical orbit around a moon as shown below. A vertical ellipse is shown

Radda [10]

Answer:

a=567 km+900 km

a=1,467 km

b=567 km+169 km

b=736 km

x^2/a^2+y^2/b^2=1

x^2/(1,467)^2+y^2/(736)^2=1

Step-by-step explanation:

7 0

3 years ago