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2 years ago

Find the value of x.

Mathematics

1 answer:

Masja [62]2 years ago

8 0

Answer:

x = 8

Step-by-step explanation:

Two secants drawn from an external point to the circle.

The (outside ) × (whole) of one secant is equal to the (outside) × (whole) of the other secant, that is

(x + 2)(x + 2 + 2x - 8) = (x + 1)(x + 1 + 2x - 5)

(x + 2)(3x - 6) = (x + 1)(3x - 4) ← expand both sides using FOIL

3x² - 12 = 3x² - x - 4 ( subtract 3x² - x - 4 from both sides )

x - 8 = 0 ( add 8 to both sides )

x = 8

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Please help, seriously confused

Rufina [12.5K]

Original height = original width = x mm

1. She made an enlarged copy...
height = 2x
width = 2x

2. She cut off a rectangle...
height = 2x
width = $\frac{2}{3} *2x= \frac{4}{3}x$

3.She doubled the width...
height = 2x
width = $2*\frac{4}{3}x = \frac{8}{3}x$

height * width = area

$2x * \frac{8}{3}x=139 \ 968 \\ \\ \frac{16}{3}x^2= 139 \ 968 \\\\ x^2=139 \ 968: \frac{16}{3}=139 \ 968 * \frac{3}{16}= 8 \ 748*3 = 26 \ 244 \\ \\ x= \sqrt{26 \ 244} = 162 \ mm$

Original height was 162 mm

6 0

3 years ago

One number is 2 less than a second number. Twice the second number is 5 less than 3 times the first. Find the two numbers.

Evgen [1.6K]

Answer:

9 and 11

Step-by-step explanation:

First number = x -2

Second number = x

and 2x = 3(x-2) - 5

2x = 3x - 6 - 5

x = 11

first number = 11-2 = 9

8 0

1 year ago

Use synthetic division to determine if x+2 is a factor of f(x)=5x2+13x+6

Karolina [17]

Answer:

x+2 is a factor of $f(x) = 5x^2 + 13x + 6$

Step-by-step explanation:

To check: If (x+2) is a a factor of the polynomial $f(x) = 5x^2 + 13x + 6$

We need to check if x = -2 is the FACTOR of the given polynomial.

⇒ To show: f (-2) = 0

Now

$f(-2) = 5(-2)^2 + 13(-2) + 6\\=5(4) -26 + 6\\= 20 + 6 - 26\\= 26 - 26 = 0\\\implies f(-2) = 0$

Since, f(-2) = 0

⇒ -2 is the ROOT of the Polynomial f(x).

⇒(x +2) is the factor of the given polynomial.

Hence, x+2 is a factor of $f(x) = 5x^2 + 13x + 6$

4 0

3 years ago

What is -9/2+5/12 dhdjjxjxjxjxjxjjx

Scrat [10]

Answer:

-4 1/12.

Step-by-step explanation:

-9/2 + 5 /12

The Lowest Common denominator is 12 so we have:

-54/12 + 5/12

= -49/12

= -4 1/12.

7 0

2 years ago

Ally ran 5 miles in 36 minutes. Sami ran 6 miles. If ally ran at a faster rate then Sami, in how many minutes could Sami have ru

laiz [17]

I believe the answer would be 6 minutes

5 0

2 years ago