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Sindrei [870]
3 years ago
13

What are numbers that have a sum of 13 and a difference of 2.

Mathematics
1 answer:
natulia [17]3 years ago
3 0

Answer: 15/2,11/2

Step-by-step explanation:

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Type the correct answer in each box. Use numerals instead of words.
Natali5045456 [20]

Given:

Consider the given function is f(x)=-(x+1)(x-3)(x+2).

To find:

The remaining zero and y-coordinate of y-intercept.

Solution:

We have,

f(x)=-(x+1)(x-3)(x+2)

For zeros, f(x)=0.

-(x+1)(x-3)(x+2)=0

(x+1)(x-3)(x+2)=0

(x+1)=0,(x-3)=0,(x+2)=0

x=-1,x=3,x=-2

So, three zeros of given function are -1, 3 and -2.

Putting x=0 in the given function, we get

f(0)=-(0+1)(0-3)(0+2)

f(0)=-(1)(-3)(2)

f(0)=-(-6)

f(0)=6

So, the y-coordinate of y-intercept of the given function is 6. It means the y-intercept is at point (0,6).

Therefore, the zeros of the function f(x)=-(x+1)(x-3)(x+2) are –1, 3, and -2 and the y-intercept of the function is located at (0,6).

7 0
2 years ago
Given: ∆ABC, AB = CB BD − median to AC E∈ AB ,F∈ BC AE = CF Prove: △ADE ≅ △CDF ΔBDE ≅ ΔBDF
NemiM [27]

Answer:

1) By SAS theorem, ΔADE≅ΔCDF

2) By SSS theorem, ΔBDE≅ΔBDF

Step-by-step explanation:

Consider isosceles triangle ABC (see diagram).

1. In triangles ADE and CDF:

  • AD≅DC (since BD is median, then it divides side AC in two congruent parts);
  • AE≅CF (given);
  • ∠A≅∠C (triangle ABC is isosceles, then angles adjacent to the base are congruent).

By SAS theorem, ΔADE≅ΔCDF.

2. In triangles BDE and BDF:

  • side BD is common;
  • DE≅DF (ΔADE≅ΔCDF, then congruent triangles have congruent corresponding sides);
  • BE≅FB (triangle ABC is isosceles, AB≅BC, AE≅CF, then BE=AB-AE, FB=BC-CF).

Be SSS theorem, ΔBDE≅ΔBDF.

7 0
3 years ago
Transforming data
Papessa [141]

Answer:

See below in bold.

Step-by-step explanation:

Mean = 150 cm = 150 * 0.033 feet

= 4.95 feet.

The standard deviation =  10 cm = 10 * 0.033

= 0.33 feet.

7 0
3 years ago
Please help with these Math question's ASP.
vodomira [7]

Answer:

See below in bold.

Step-by-step explanation:

1.  x/8 = 15/24

Cross multiplying:

24x = 8*15

x = (8*15)/24

x = 5.

2.   5/6 = 35/x

5x = 6*35

5x = 210

x = 210/5

x = 42.

3.<em>  </em>18/42

Divide top and bottom by 6:

18 / 6 / 42/6

= 3/7.

4.  15/75

Divide top and bottom by 15:

= 1/5.

5 0
3 years ago
Find f(-3) if f(x) = x 2.
ValentinkaMS [17]

Answer:

-6

Step-by-step explanation:

All you have to do is plug in the -3 in the expression so the new expression would be -3(2) so the answer is -6

6 0
2 years ago
Read 2 more answers
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