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nevsk [136]
2 years ago
5

Eleven subtracted from two times a number is -31.

Mathematics
1 answer:
erica [24]2 years ago
7 0

Answer:

x=-10

Step-by-step explanation:

2x-11=-31\\

Add 11 on both sides.

2x-11=-31\\2x=-20\\2x/2x=-20/2\\x=-10

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What does it mean to solve an equation?
Ivanshal [37]
To add, subtract, multiply or divide the number given to get a whole number or an integer
4 0
3 years ago
On a coordinate plane, triangles R S T and L M N are shown. Triangle R S T has points (5, 5), (2, 1), and (1, 3). Triangle L M N
ivolga24 [154]

Answer:

LMN has a larger area

Step-by-step explanation:

Given

RST

R =(5,5)

S= (2,1)

T = (1,3)

LMN

L = (0,-1)

M= (2,-4)

N= (-2,-3)

Required

Compare both areas

The area of triangle is:

Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|

For RST, we have:

Area = \frac{1}{2}|5*1 - 2*5 + 2*3 - 1*1 + 1*5 - 5*3|

Area = \frac{1}{2}|-10|

Remove absolute signs

Area = \frac{1}{2}*10

Area = 10

For LMN, we have:

Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|

Area = \frac{1}{2}|0*-4-2*-1+2*-3--2*-4--2*-1-0*-3|

Area = \frac{1}{2}|-14|

Remove absolute signs

Area = \frac{1}{2}*14

Area = 7

<em>By comparing both areas, we can conclude that LMN has a larger area</em>

3 0
3 years ago
PLEASE HELP!! for 20 points<br> What is the area of the<br> composite figure?
belka [17]

Answer:

46

Step-by-step explanation:

Break the shape into smaller shapes, then solve:

Large Rectangle -> 4x8=32

Tiny Rectangle at the bottom ->2x3=6

Triangle at top can be broken into two right triangles ->

(4x2)(1/2)=4

(4x2)(1/2)=4

Add: 32+6+4+4=46

4 0
2 years ago
A circle has a radius of 7/4 units and is centered at <br> (−2.5,−4.4)
lana66690 [7]
Are you asking for the expression?

If so, you plug into the format (x - h)² + (y - k)² = r² where (h, k) is the center and r is the radius.

(x + 2.5)² + (y + 4.4)² = (7/4)²

Simplify to get your equation and answer:

(x + 2.5)² + (y + 4.4)² = 49/16
6 0
3 years ago
Read 2 more answers
For a confidence level of 88%, find the critical value for a normally distributed variable. The sample mean is normally distribu
Elanso [62]

Answer:

z = ±  0.772193214

Step-by-step explanation:

8 0
3 years ago
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