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OlgaM077 [116]
3 years ago
7

How is 7x➕721 factored

Mathematics
1 answer:
weeeeeb [17]3 years ago
8 0

Answer:

7(x+103)

Step-by-step explanation:

you pull out a 7 from it

you take the 7 and put it outside the parenthesis

whatever you have left over that both 7x and 721 don't share you put in the parenthesis

7(x+103)

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Find, corrrect to the nearest degree, the three angles of the triangle with the given vertices. D(0,1,1), E(-2,4,3), C(1,2,-1)
Sholpan [36]

Answer:

The three angles of the triangle given above are 23, 73 and 84 correct to the nearest degree. The concept of dot product under vectors was applied in solving this problem. The three positions forming the triangle were taken as positions vectors. The Dot product also known as scalar product is a very good way of finding the angle between two vectors. ( in this case the sides of the triangle given above). Below is a picture of the step by step procedure of the solution.

Step-by-step explanation:

The first thing to do is to treat the given positions in space as position vectors which gives us room to perform vector manipulations on them. Next we calculate the magnitude of the position vector which is the square root of the sun of the square of the positions of the vectors along the three respective axes). Then we calculate the dot product. After this is calculated the angle can then be found easily using formula for the dot product.

Thank you for reading this and I hope it is helpful to you.

4 0
3 years ago
I will give brainliest to simplest explanation! There are 2 Senators from each of 50 states. We wish to make a 3-Senator committ
Alika [10]

Answer:

117,600 ways

Step-by-step explanation:

This problem can be solved using fundamental principle of counting , according to which , if there are m different things and n different things,

then there m*n ways to combine.

Example: if there 5 shirts and 3 ties,

then number of ways in which different combination shirt and tie can be worn is

5*3 = 15 ways.

____________________________________

In the problem,\

number of states is 50,

let those states be

A1, A2, A3, A4 ......A50

in each state there are 2 senate

Condition

3-Senator committee in which no two members are from the same state.

then

first member can be chosen from any of the 50 state,

hence first member can be chosen in 50 ways

for simplicity lets take state A1, you can choose any one you wish

second member cannot be from state A1, then number of state left = 49

second member can be chosen from  any of 49 state left

hence second member can be chosen in 49 ways

for simplicity lets take state A2,

Third member cannot be from state A1 and A2, then number of state left = 48

Third member can be chosen from  any of 48 state left

hence Third member can be chosen in 48 ways

for simplicity lets take state A3,

Hence no. of ways of choosing  3-Senator committee be formed such that no two Senators are from the same state = 50*49*48 = 117,600 ways

8 0
3 years ago
If the mean of 6 numbers increased by 3, by how much would the sum of
Angelina_Jolie [31]
I think 6x3=18
So, the answer is 18
8 0
2 years ago
Read 2 more answers
(X^2+ x– 12) (x^2+ 10x + 25)
yulyashka [42]

Solution:

  • (x² + x – 12)(x² + 10x + 25)
  • => (x⁴ + 10x³ + 25x²) + (x³ + 10x² + 25x) + (-12x² - 120x - 300)
  • => x⁴ + 10x³ + 25x² + x³ + 10x² + 25x - 12x² - 120x - 300
  • => x⁴ + (10x³ + x³) + (25x² + 10x² - 12x²) + (25x - 120x) - 300
  • => x⁴ + (11x³) + (23x²) + (-95x) - 300
  • => x⁴ + 11x³ + 23x² - 95x - 300

The only term that has a x-variable is "-95x".

The coefficient of x is -95.

6 0
2 years ago
Read 2 more answers
stions 5-7 the Grade 6 pupils graduated? In a school of 680 Grade 6 pupils, 646 graduated. What percent of the Grade 6 pupils gr
Natalka [10]

Answer:

95% of Grade 6 pupils graduated

8 0
2 years ago
Read 2 more answers
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