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Tasya [4]
3 years ago
7

One solution of the quadratic equation X2 – 19x + 48 = 0 is 3. What is the other solution?

Mathematics
1 answer:
Liula [17]3 years ago
7 0

Answer:

16

Step-by-step explanation:

The equation is X2 – 19x + 48 = 0

Using the quadratic formula

X= - b +- √ ( b^2 - 4ac)/ 2a

Where a= 1 b= -19 c= 48

Substitute into the formula we have

CHECK THE ATTACHMENT

HENCE, the solution are 3 and 16

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Find the value of a.<br> A. 58<br> B. 130<br> C. 86<br> D. 65
tatiyna

Answer:

C. \ \ \ 86°

Step-by-step explanation:

1. Approach

In order to solve this problem, one must first find a relationship between arc (a) and arc (c). This can be done using the congruent arcs cut congruent segments theorem. After doing so, one can then use the secants interior angle to find the precise measurement of arc (a).

2. Arc (a) and arc (c)

A secant is a line or line segment that intersects a circle in two places. The congruent segments cut congruent arcs theorem states that when two secants are congruent, meaning the part of the secant that is within the circle is congruent to another part of a secant that is within that same circle, the arcs surrounding the congruent secants are congruent. Applying this theorem to the given situation, one can state the following:

a = c

3. Finding the degree measure of arc (a),

The secants interior angle theorem states that when two secants intersect inside of a circle, the measure of any of the angles formed is equal to half of the sum of the arcs surrounding the angles. One can apply this here by stating the following:

86=\frac{a+c}{2}

Substitute,

86=\frac{a+c}{2}

86=\frac{a+a}{2}

Simplify,

86=\frac{a+a}{2}

86=\frac{2a}{2}

86=a

5 0
3 years ago
If f(x) = 4^x - 8 and g(x) = 5x + 6, find (f - g)(x)
olganol [36]

Answer:

4^x-5x-14

Step-by-step explanation:

f-g=(4^x-8)-(5x+6)=4^x-8-5x-6=4^x-5x-14

6 0
3 years ago
Read 2 more answers
What does 2 3/5 divided by 1 1/25 equal
Nataliya [291]

Alright, so let's make 2 3/5 into an improper fraction.

2 x 5 = 10 + 3 = 13

So 13/5 / 11/25.

Keep, change, flip rule: 13/5 x 25/11.

Now you multiple the numerator and denominator from both fractions. (I'm not going to do the math for you. Hope this helped and sorry if my explanation is...yeah.)


4 0
2 years ago
1. What is the value of x? Show all of your work.
asambeis [7]
AB^2 + BC^2 = AC^2
AB^2 + 6^2 = square root 117^2
AB^2 + 36 = 117

Now subtract 117 from both sides
AB^2 = 81
AB = square root 81 = 9
\sqrt{81}  = 9
Therefore AB is 9 cms.
3 0
3 years ago
If a=3 and b=5 then ab/15+a(6+7b)=
lilavasa [31]

Answer:155

Step-by-step explanation:

If a=3 and b=5 then

3•5/15+3•6+7•5=155

8 0
3 years ago
Read 2 more answers
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