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3 years ago

Find the coordinates of point b on ac such that the ratio of AB to BC is 2:1

Mathematics

1 answer:

riadik2000 [5.3K]3 years ago

5 0

Answer:

(-2, 3)

Step-by-step explanation:

the point B is

B(x,y)

AB (A to B) is twice BC ( B to C )

AB is 2 - x. BC is x - (-4)= x + 4

2-x=2 (x + 4)

2-x=2x + 8

3x = -6

x = -2

(Same logic as above)

AB is -5 -y. BC is u - 7

-5 -y = 2(y - 7)

-5 - y = 2y - 14

3y = 9

y= 3

the point is (-2, 3)

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If 5 consecutive integers sum to 255, the largest of the 5 is?

makvit [3.9K]

Answer:

Step-by-step explanation:

x + (x + 1) + (x +2) + (x +3) + (x +4) = 255

5x + 10 = 255

5x = 255 - 10

5x = 245

x = 245/5

x = 49

Thus, the largest of the five consecutive numbers = x + 4

= 49 + 4

= 53

3 0

3 years ago

Solve the inequality below for x.<br><br> –3.2(2x – 1) ≤ 17.6

larisa86 [58]

Answer:

x > -9/4

Step-by-step explanation:

Step 1 :

Simplify ——

Equation at the end of step 1 :

32 88

(0 - (—— • (2x - 1))) - —— < 0

10 5

Step 2 :

Simplify ——

Equation at the end of step 2 :

16 88

(0 - (—— • (2x - 1))) - —— < 0

5 5

Step 3 :

Equation at the end of step 3 :

16 • (2x - 1) 88

(0 - —————————————) - —— < 0

5 5

Step 4

-16 • (2x-1) - (88) -32x - 72

5 5

Step 5 :

Pulling out like terms :

5.1 Pull out like factors :

-32x - 72 = -8 • (4x + 9)

Equation at the end of step 5 :

-8 • (4x + 9)

————————————— < 0

Step 6 :

6.1 Multiply both sides by 5

6.2 Divide both sides by -8

6.3 Divide both sides by 4

x+(9/4) > 0

5 0

3 years ago

Read 2 more answers

A soccer team played 32 games. They won 24 and lost 8. Mia was the goalie in 5/8 of the winning games and 1/4 of the losing game

kramer

the 1/2

I am not 100% sorry if it is wrong

7 0

3 years ago

Evaluate 6(41 - 21) - 6(20-2) = ____

arlik [135]

First you should distribute and then you can do the subtraction which will give you 12.

3 0

3 years ago

Read 2 more answers

A class will have 1 test and 5 homework assignments to complete. If the test is worth 80 points and each homework assignment is

GrogVix [38]

Answer:

180 points.

Step-by-step explanation:

Given:

A class will have 1 test and 5 homework assignments to complete.

The test is worth 80 points.

Each homework assignment is work 25% of the test.

Question asked:

How many points may be earned during this unit ?

Solution:

By unitary method:

Points may be earned from 1 assignments = $25\% of 80$ (given)

= $\frac{25}{100} \times 80 = \frac{2000}{100} = 20$

Points may be earned from 5 assignments = $5\times 20 = 100$

Points may be earned from 1 test = $80$

Total points may be earned = 100 + 80 = 180

Therefore, 180 points may be earned during this unit.

3 0

3 years ago