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3 years ago

What is the value of x?

Mathematics

1 answer:

lesya692 [45]3 years ago

4 0

When two secant lines intersect each other outside a circle, the products of their segments are equal.

(x+4)(x+4+1) = (x+1)(x+1+11)
(x+4)(x+5) = (x+1)(x+12)
x² + 5x + 4x + 20 = x² + 12x + x + 12
9x - 13x = 12 - 20
-4x = -8
4x = 8
x = 2

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Paul opens a savings account with $350. He saves $150 per month. Assume that he does not withdraw money or make any additional d

Verizon [17]

I believe the equation is y=350+150x with y being the total amount of money in his account and x being the number of months..Paul starts with $350, which is the y-intercept (starting value) of the equation then the slope is 150 because his total savings increases by $150 for every month he saves without making any withdrawals. I apologize if I'm wrong but I hope this helps.

8 0

3 years ago

Use this image to classify each pair of lines.

irga5000 [103]

Answer:

Parallel

Step-by-step explanation:

7 0

2 years ago

Find the equation of the line that contains the given point and is parallel to the given line. Write the equation in slope-inter

AlexFokin [52]

Answer:

Step-by-step explanation:

5 0

3 years ago

1.Arsenic-74 is used to locate brain tumors. It has a half-life of 17.5 days. 90 mg wereused in a procedure. Write an equation t

Sophie [7]

$1)\text{ }N_t\text{ = 90\lparen}\frac{1}{2})^{\frac{t}{17.5}}$

2) 5.625 mg will be left

Explanation:

1) Half-life = 17.5 days

initial amount of Arsenic-74 = 90 mg

To get the equation, we will use the equation of half-life:

$\begin{gathered} N_t\text{ = N}_0(\frac{1}{2})^{\frac{t}{t_{\frac{1}{2}}}} \\ where\text{ N}_t\text{ = amount remaining} \\ N_0\text{ = initial amount} \\ t_{\frac{1}{2}\text{ }}\text{ = half-life} \end{gathered}$ $N_t\text{ = 90\lparen}\frac{1}{2})^{\frac{t}{17.5}}$

2) we need to find the remaining amount of Arsenic-74 after 70 days

t = 70

$\begin{gathered} N_t=\text{ 90\lparen}\frac{1}{2})^{\frac{70}{17.5}} \\ N_t\text{ = 5.625 mg} \end{gathered}$

So after 70 days, 5.625 mg will be left

4 0

1 year ago

What is a equation in point slope form for a line perpendicular to y=-4x-10 that contains (1,-5)

mixas84 [53]

Y = 1/4x -5

HOPE THIS HELPS

3 0

4 years ago