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Zarrin [17]
3 years ago
14

To find the sum of 4 and -5.

Mathematics
1 answer:
Katen [24]3 years ago
5 0

Answer:

-1

Step-by-step explanation:

-5 + 4 = 1

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Which is the correct step below for using the grouping method to factor the following polynomial? 8x - 6 - 12x2 + 9x
IrinaVladis [17]
8x - 6 - 12x^2 + 9x

2(4x-3)-3x(3x-3)

=> (2-3x)(3x-3)

=> 3(x-1)(2-3x)
4 0
3 years ago
Read 2 more answers
B is the midpoint of AC and E' is the midpoint of BD. If A(-9,-4), C(-1, 6), and E(-4,-3), find the coordinates of D.
Ipatiy [6.2K]
The coordinates for D are (-4, -7)

First we must locate point B as it is vital to finding the midpoint of BD. To do this, we take the average of the endpoints AC since B is its midpoint. 

x values = -9 + 1 = -8
Then divide by 2 for the average -8/2 = -4

y values = -4 + 6 = 2
Then divide by 2 for the average 2/2 = 1

Therefore B must be (-4, 1)

Now we know the values of E must be the average of B and D. So we can write equations for each coordinate since we know they are averages. 

x - values = (Bx + Dx)/2 = Ex
(-4 + Dx)/2 = -4 ---> multiply both sides by 2
-4 + Dx = -8 ---> add -4 to both sides
Dx = -4

y - values = (By + Dy)/2 = Ey
(1 + Dy)/2 = -3 ---> multiply both sides by 2
1 + Dy = -6 ---> subtract 1 from both side
Dy = -7

So the coordinates for D must be (-4, -7)
5 0
3 years ago
Read 2 more answers
Fill in the blank with the correct inequality symbol​
12345 [234]

Answer:

>

Step-by-step explanation:

4 is greater than 3

sqrt15 is greater than sqrt6

So 4+sqrt15 must be greater than 3+sqrt6

6 0
2 years ago
A bank loaned out ​$19,000​, part of it at the rate of 9 % per year and the rest at 19 % per year. If the interest received in o
VMariaS [17]

Answer: $11100 was loaned at 9%

Step-by-step explanation:

Let x represent the amount that the

bank loaned out at the annual rate of 9%.

Let y represent the amount that the

bank loaned out at the annual rate of 19%.

The bank loaned out ​$19,000​, part of it at the rate of 9% per year and the rest at 19% per year. It means that

x + y = 19000

The interest on $x after 1 year would be

9/100 × x = 0.09x

The interest on $y after 1 year would be

19/100 × y = 0.19y

If the interest received in one year totaled ​$2500. It means that

0.09x + 0.19y = 2500- - - - - - - - - 1

Substituting x = 19000 - y into equation 1, it becomes

0.09(19000 - y) + 0.19y = 2500

1710 - 19000y + 0.19y = 2500

- 0.09y + 0.19y = 2500 - 1710

- 0.1y = - 790

y = - 790/- 0.1

y = $7900

x = 19000 - y = 19000 - 7900

x = $11100

7 0
3 years ago
The sum of three consecutive odd integers is 18
DIA [1.3K]

Answer: If x =7, then x + 2 = 9 and x + 4 = 11. These are your three consecutive odd integers.

Step-by-step explanation:

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3 years ago
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