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3 years ago

In the triangle of ABC, D is a point on AB , AC = 7, AD = 6, and BC = 18. The length of DB could be

Mathematics

1 answer:

Ray Of Light [21]3 years ago

8 0

Answer:

19 > DB > 5

Step-by-step explanation:

In a triangle Δ ABC, AC = 7, and BC = 18.

Therefore, the length of the third side of the triangle Δ ABC i.e. length of AB can have a maximum value of < (7 + 18) i.e. 25 and the minimum value of the length AB will be > (18 - 7) i.e. 11

Hence, the length of AB will be given by 25 > AB > 11.

Now, AB = AD + DB = 6 + DB {Since length of AD is given to be 6}

Therefore, 25 > 6 + DB > 11

⇒ 19 > DB > 5 (Answer)

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Complete the equation of the line through (-6,-5)(−6,−5)(, minus, 6, comma, minus, 5, )and (-4,-4)(−4,−4)(, minus, 4, comma, min

alina1380 [7]

Answer:

$y=\frac{1}{2}x-2$

Step-by-step explanation:

We have been given two points on a line $(-6,-5)$ and $(-4,-4)$ . We are asked to write an equation passing through these points.

We will write our equation in slope-intercept form of equation $y=mx+b$ , where,

m = Slope of line,

b = Initial value or the y-intercept.

Let us find slope of given line using slope formula.

$m=\frac{y_2-y_1}{x_2-x_1}$

Let point $(-6,-5)=(x_1,y_1)$ and point $(-4,-4)=(x_2,y_2)$ .

$m=\frac{-4-(-5)}{-4-(-6)}$

$m=\frac{-4+5}{-4+6}$

$m=\frac{1}{2}$

Now, we will substitute $m=\frac{1}{2}$ and coordinates of point $(-6,-5)$ in slope-intercept form of equation as:

$-5=\frac{1}{2}*(-6)+b$

$-5=-3+b$

$-5+3=-3+3+b$

$-2=b$

Upon substituting $m=\frac{1}{2}$ and $b=-2$ in slope-intercept form of equation, we will get our required equation as:

$y=\frac{1}{2}x-2$

Therefore, our required equation would be $y=\frac{1}{2}x-2$ .

8 0

3 years ago

How do you know what to split 26 into ?

madam [21]

Answer:

see explanation

Step-by-step explanation:

Assuming you are factoring the expression

Given

4y² + 26y + 30 ← factor out 2 from each term

= 2(2y² + 13y + 15) ← factor the quadratic

Consider the factors of the product of the coefficient of the y² term and the constant term which sum to give the coefficient of the y- term.

product = 2 × 15 = 30 and sum = 13

the factors are 10 and 3

Use these factors to split the y- term

2y² + 10y + 3y + 15 ( factor the first/second and third/fourth terms )

= 2y(y + 5) + 3(y + 5) ← factor out (y + 5) from each term

= (y + 5)(2y + 3)

Thus

4y² + 26y + 30

= 2(y + 5)(2y + 3)

5 0

3 years ago

How do you do this? plz I really need help.

Vlada [557]

The top two answers are equivalent, while the bottom one is not. You would use distributive property in the parentheses. If both expressions are the same, they are equivalent

7 0

3 years ago

I needd helppp passing!!!

OLga [1]

The answer is: False

This does not mean that AD will be congruent to BC because AD and BC has the same specific angle and volume.

6 0

3 years ago

In a certain state, fishing licenses are in the form of LLL NN, where L stands for a letter of the alphabet and N stands for a o

Pavel [41]

<h2>Answer:</h2>

There are 1757600 possibilities.

<h2>Step-by-step explanation:</h2>

In a certain state, fishing licenses are in the form of LLL NN

L stands for a letter of the alphabet (a to z)

N stands for a one-digit number from 0 to 9.

Now, for the series LLL, 3 alphabets are placed that can be any from a to z. This means at each place, 26 letters can be placed.

Similarly, for NN, 2 numbers are placed that can be any, between 0 and 9. At each place 0 to 9 can be placed.

Hence, the total possible outcomes will be :

$26\times26\times26\times10\times10$ =1757600

Therefore the answer is 1757600 possibilities.

5 0

3 years ago

Read 2 more answers