Answer:
10 squared units
Step-by-step explanation:
This triangle is pretty easy since it creates a right triangle. So the base length and height length are pretty easy to identify.
The area of a triangle is .5*base*height.
The base length after drawing the points is a horizontal so just count it or do 4-0=4.
The height length after drawing the points is a vertical so just count it or do 4-(-1)=4+1=5.
So the area of the triangle is .5*4*5=.5(20)=10 units squared.
Now if you didn't fill like drawing it and you knew how to find the determinant.
You just compute
.5 times det| 0 -1 1 |
| 0 4 1 |
| 4 -1 1 |
.5[ 0 det| 4 1 | - -1 det| 0 1 | + 1 det | 0 4 | ]
| -1 1 | | 4 1 | | 4 -1 |
.5[ 0 - -1(0-4) + 1(0-16)]
.5[ 0 -4 -16]
.5[-20]
-10
And if you get a negative just take the absolute value of it giving you 10.
Answer:
3^6
Step-by-step explanation:
3^8 ÷ 3^2
= 3^ (8-2)
= 3^6
3/70=x/100
(3/70)*100=x
300/70=x
x=30/7=4.2857 roughly
x = -1/3
Explanation:
-3x-2=-1
collect like terms by adding +2 to both sides:
-3x -2 + 2 = -1 + 2
-3x = 1
Divide both sides by the coefficient of x:
coefficient of x = -3
-3x/-3 = 1/-3
x = -1/3
Step-by-step explanation:
☄
The ratio of new houses to antique houses in a village is 4 : 5 . If there are 12 new houses , how many antique houses are there ?
☄
✏ Let , the number of antique houses in a village be ' x ' .
Then , According to the question :

⤑
Apply cross product property
⤑
⤑
⤑
⤑
So, The number of antique houses in a village is 15.

Hope I helped ! ♡
Have a wonderful day / night ツ
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁