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
there are 6 pure spectral color : red,orange,yellow, green,blue, and violet. some animals cannot see orange or red. what fractio
Gnoma [55]
<span>Bees see “primary colors” as blue, green and ultra violet. <span>They can distinguish yellow, orange, blue-green, violet, purple, as combinations of their three primary colors.</span></span>
8 0
3 years ago
School QUICK CARE
grandymaker [24]

Answer:

Step-by-step explanation:

Total pencils = 48

Total erasers = 72

If we put 1 pencil and 1.5 eraser in each pouch then total pouches = 48 pouches

3 0
3 years ago
The sum of two numbers is 80 If four times the smaller number is subtracted from the larger number, the result is 10. Find the t
timama [110]
This can be solved using a system of equations. 
\left \{ {{x+y=80} \atop {x-4y=10} \right. &#10;
Subtract y from both sides.
x=80-y
Substitute:
80-y-4y=80-5y=10
Subtract 80 from both sides:
5y=70
Divide both sides by 5:
y= \frac{70}{5} =14
Substitute.
x=80-14=66
3 0
3 years ago
Read 2 more answers
40% off sale! Yanika buys a Riding Right mountain bike during the sale. If the original price was $835, how much does Yanika pay
tamaranim1 [39]
501 dollars is the correct answer
5 0
4 years ago
Read 2 more answers
HELP FASSTT THANK U IF SO
valentina_108 [34]

Answer:

The answer is -13/8 or -1 5/8 in mixed form.

Step-by-step explanation:

The fraction 1 5/8 converted to improper is 13/8 so count 13 points to the right of the number line from 0. So that is where it falls.

Now if we are to find the opposite of a positive integer or fraction we are just to put a negative mark so it will be -1 5/8 or -13/8 in improper form. So just count 13 points to the left of the number line from 0 and that's your answer buddy!

But tbh this is actually an extensive and time taking process but if you follow this you can be sure of your answer. So the easier process is to see the whole and the parts of whole. As you can see there are 8 parts between each number so it means each number is divided into 8 parts and to make it easier the fraction shows that 1 5/8 has 8 parts for each to. So we will take the 1 of the 1 5/8 and skip 8 parts to the whole number 1. Then we will take the 5 from 5/8 and count 5 points from 1. That's the position of 1 5/8 on the number line. As for the opposite, add negativity sign and do just the same! And that's the answer!

HOPE it helps though...

3 0
2 years ago
Other questions:
  • In the diagram bisectors of triangle ABC meet at point G. Find BG.
    9·1 answer
  • What is your hart rate if you count 18 beats in 15 seconds
    15·1 answer
  • Marta is 5 feet 4 inches tall, and casts a 12-foot shadow. a nearby tree casts a 25-foot shadow. how tall is the tree, rounded t
    5·1 answer
  • Which is the focus of a parabola with equation y^2=4x
    11·2 answers
  • yesterday , Elsa had K baseball cards today she gave 12 away ,using K write an expression for the number of cards elsa has left
    11·2 answers
  • What is 6,333 rounded to the nearest thousand
    10·2 answers
  • A circle with a radius of 15 yards contains a sector with an area of 609 yde. Find the measure of
    11·1 answer
  • Help answer please help
    6·2 answers
  • Is my answer correct? (Correct me if im wrong)
    14·1 answer
  • Factor Quadratics
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!