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Inessa05 [86]
3 years ago
7

1.

Mathematics
1 answer:
Simora [160]3 years ago
3 0

Answer:

x = 2

Step-by-step explanation:

Given 2 intersecting chords, then the product of the parts of one chord is equal to the product of the parts of the other chord, that is

EB × AE = ED × CE

x(x + 1) = 3 × 2 = 6

x² + x = 6 ( subtract 6 from both sides )

x² + x - 6 = 0 ← in standard form

(x + 3)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 2 = 0 ⇒ x = 2

But x > 0 , then x = 2

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Expressing the given functions
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\bf \begin{cases}
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\\\\\\
f(\ g(x)\ )=[g(x)]^2\implies f(\ g(x)\ )=(7x-5)^2\impliedby h(x)
4 0
3 years ago
If the legs of a right triangle are both 8 cm, find the area of the triangle. A) 8 cm2 B) 16 cm2 C) 32 cm2 D) 64 cm2
Alex787 [66]

Answer:

32cm

Step-by-step explanation:

Area of a triangle= 1/2 X b X h

b= 8

h=8

1/2 X 8 X 8

= 4 X 8

= 32cm

5 0
3 years ago
Read 2 more answers
The cup was filled at a constant rate. It started empty. After 2 seconds, it held 70 cm^3 of water.
nydimaria [60]

Answer:

About 90%

Step-by-step explanation:

If the cup was filled at a constant rate, then the cup fills at 70/2=35 cubic centimeters per second. The formula for the volume of a cone is \frac{1}{3} \pi r^2 h, or in this case \frac{112}{3}\pi cubic centimeters. After 3 seconds, the cup would have 35*3=105 cubic centimeters of water inside of it, or about 89.52% which rounds to 90%. Hope this helps!

8 0
3 years ago
Marissa and Callie both have babysitting jobs. Marissa charges $19 plus $1.50 per hour. Callie charges $15 plus $2.75 per hour.
aliya0001 [1]

Answer:

4 hours

Step-by-step explanation:

Write an equation

19 +1.5x < 15+2.75x

Subtarct 15 on both sides

4+1.5x<2.75x

subtract 1.5x on both sides

4< 1.25x

Divide 1.25 on each side

3.2<X

Since they on,y charge per hour so 4 hours

3 0
3 years ago
Read 2 more answers
Consider the Polynomial P(x)=x^3-5x^2-x+5. is (x-5) a factor?
Alborosie

Answer:

Option B, Yes, the remainder is 0, so x-5 is a factor of P(x)

Step-by-step explanation:

<u>Step 1:  Factor</u>

p(x) = x^3 - 5x^2 - x + 5

<em>p(x) = (x - 5)(x + 1)(x - 1)</em>

<em />

<em>Yes, the remainder is 0 so, x-5 is a factor of p(x)</em>

<em />

Answer:  Option B, Yes, the remainder is 0, so x-5 is a factor of P(x)

8 0
3 years ago
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