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3 years ago

14

Write a quadratic function f whose zeros are 13 and 2.

1 answer:

Katena32 [7]3 years ago

6 0

Answer:

(x-13)(x+3) = f(x) = x^2 -10x -39

Step-by-step explanation:

You might be interested in

Describe lengths of three segments that could not be used to form a triangle. Segments with lengths of 5 in., 5 in., and ______

Vesna [10]

Answer:

$c = 11$

Step-by-step explanation:

Given

Let the three sides be a, b and c

Such that:

$a = b= 5$

Required

Find c such that a, b and c do not form a triangle

To do this, we make use of the following triangle inequality theorem

$a + b > c$

$a + c > b$

$b + c > a$

To get a valid triangle, the above inequalities must be true.

To get an invalid triangle, at least one must not be true.

Substitute: $a = b= 5$

$5 + 5 > c$ $===>$ $10 > c$

$5 + c > 5$ $===>$ $c > 5 - 5$ $===>$ $c > 0$

$5 + c > 5$ $===>$ $c > 5 - 5$ $===>$ $c > 0$

The results of the inequality is: $10 > c$ and $c > 0$

Rewrite as: $c > 0$ and $c < 10$

$0 < c < 10$

This means that, the values of c that make a valid triangle are 1 to 9 (inclusive)

Any value outside this range, cannot form a triangle

So, we can say:

$c = 11$ , since no options are given

8 0

3 years ago

The vertices of a triangle are located at the points A(0, 1), B(2, 4) and C(3, 0). The triangle is translated 5 units down to ob

lyudmila [28]

Answer:

The coordinates of the vertices of triangle A'B'C' are $A'(x,y) = (0,-4)$ , $B'(x,y) = (2,-1)$ and $C'(x,y) = (3,-5)$ .

Step-by-step explanation:

According to this statement, triangle ABC must be translated 5 units in the -y direction to form triangle A'B'C'. We need to use the following operations:

$A'(x,y) = A(x,y) +(0,-5)$ (1)

$B'(x,y) = B(x,y) +(0,-5)$ (2)

$C'(x,y) = C(x,y) + (0,-5)$ (3)

If we know that $A(x,y) = (0,1)$ , $B(x,y) = (2,4)$ and $C(x,y) = (3,0)$ , then the new vertices of the rectangle are, respectively:

$A'(x,y) = (0,-4)$ , $B'(x,y) = (2,-1)$ , $C'(x,y) = (3,-5)$

8 0

3 years ago

6. The length of the hypotenuse of a right triangle is 15 m. The length of one leg

ycow [4]

Answer:

the other leg will be eight meters long

4 0

3 years ago

I need help finding R

Nataly [62]

I think it'd be (-18,-9) because the change from Q to Q' was by 9 so I would assume that to get R' you would also multiply the x,y by 9

5 0

3 years ago

1. Using the algebraic expression 6p + 5 = c. Where p represents packs of cards and c represents cost. Solve for the number of p

Scilla [17]

1.) 8
2.) 7
3.) 16
4.) 4
5.) -6

7 0

3 years ago