1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
malfutka [58]
3 years ago
13

Determine the possible smallest value(s) of x.

Mathematics
1 answer:
Len [333]3 years ago
7 0

Answer:

x = 5, x = 7

Step-by-step explanation:

Tangents to a circle from an external point are congruent, that is

x² = 12x - 35 ( subtract 12x - 35 from both sides )

x² - 12x + 35 = 0 ← in standard form

Consider the factors of the constant term (+ 35) which sum to give the coefficient of the x- term (- 12)

The factors are - 5 and - 7, since

- 5 × - 7 = + 35 and - 5 - 7 = - 12, thus

(x - 5)(x - 7) = 0

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

x - 7 = 0 ⇒ x = 7

smallest value of x is 5

largest value of x is 7

You might be interested in
Olivia hikes at a consistent rate of 3 mph. If she hikes for 6 hours, how far will she have traveled?
Step2247 [10]
We can use the distance = rate times time formula.

This formula states that if you travel at a constant rate for a certain amount of time, you will know the distance that you traveled.

We know the rate is 3 mph and she hiked for 6 hours.

distance = 3 * 6
distance = 18

So, she traveled 18 miles.


4 0
4 years ago
Read 2 more answers
Which point is a solution to the inequality y > − 5 x + 3 ?
aleksandr82 [10.1K]
Ans

y>-5x+3 meen the area abuv the strate line y=-5x+3

line go thru point (0,3) & hav slope=-5=downhill
4 0
2 years ago
What will be the total cost in dollars<br> if Javier sends 70 text messages?
Vanyuwa [196]

Answer:how much is one message?

Step-by-step explanation:

4 0
4 years ago
Line l is tangent to the graph of y= x - x²/500 at point Q &amp; it crosses the y-axis at (0, 20)
insens350 [35]
A. Equation of line l: y = mx + 20 where m = y' = 1- (1/250)x 

At the point Q, The equation of the line equals the equation of the parabola. 

So (1-x/250)x + 20 = x - x^2/500 

20 = x^2/250 - x^2/500 = x^2/500 
x = sqrt(20*500) = 100ft 

B. m = 1 - 100/250 = 3/5. 

<span>Equation of line L is y = 3/5x + 20 
</span>
C)  If a spotlight is located at the x intercept of line L (-33 1/3,0), its light will go only above line L past the point where line L is tangent to the hill at (100,80) because the hill blocks the light below the tangent line. 

<span>The highest point on the equation of y = x - x²/500 is at (250,125), so a tree 50 feet tall at that location would reach up to (250,175). The tangent line goes through (250,170), so the top 5 feet of the tree would be above the tangent line, in the glow of the spotlight. 
</span>
--------------------------

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
8 0
3 years ago
A tank that measures 40 feet by 36 feet by 18 feet is filled with water to 5/6 of its height. 1/3 of the water is poured out of
rodikova [14]

so assuming the tank is just a big tall rectangular box-like tank.


well, the volume of a rectangular prism is simply the product of its length, height and width. So the volume for this one will be 40 * 36 * 18, or 25920 ft³.


if we fill that up to only 5/6, not the whole tank, how much is 5/6 of 25920? well, is really just their product, namely 21600 ft³.


and then we dump 1/3 of that 21600, how much is that anyway? well 1/3 of 21600 is really just their product, so 7200 ft³.


so we had 21600 ft³ of water, and dumped 7200 ft³, we're left only with 21600 - 7200, or 14400 ft³.

4 0
4 years ago
Other questions:
  • The gas tank of Tyrell's truck holds 19.8 gallons. when the tank is empty Tyrell fills it with gas that cost $3.65 per gallon. a
    6·2 answers
  • Which cube is formed by folding the pattern?​
    5·1 answer
  • Plot a point at the y-intercept pf the following function on the graph provided. 3y= -5^x+7
    15·1 answer
  • A shop is having a sail
    12·1 answer
  • Can someone please give me a step by step on how to solve 4x(3/4-1/2)+3x6
    9·1 answer
  • Help plz:))) I’ll mark u brainliest <br> ASAP!!!
    11·1 answer
  • Solve -72 = 8 (y - 3) pls
    10·2 answers
  • I Don't Know!!!
    10·1 answer
  • Why does the quadratic formula work all the time
    9·1 answer
  • A friend of mine borrowed $800 for 3 years. He claims he paid $968 for the interest and principal. What was the rate on the loan
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!