Answer:
x=3, y=-1
Step-by-step explanation:
We are already given an equation solved for x, making substitution much easier. We know x=4y+7, meaning we can put 4y+7 whenever we see x in the second equation
2x-6y=12
We substitute 4y+7 in place of x
2(4y+7)-6y=12
Now we only have one variable to work on, distribute the 2
8y+14-6y=12
Combine similar terms, 8y-6y=2y
2y+14=12
Subtract 14 from both sides
2y=-2
y=-1
Now we plug in -1 for y in the first equation to find x
x=4(-1)+7
x=-4+7
x=3
The simplification of the given expression 
, we get 
.
Given expression is:
By applying the multiplication, we get
→ 
By multiplying the (-) sign into the bracket, we get
→ 
→ 
By arranging the terms, we get
→
Thus the answer above is right.
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brainly.com/question/19593573
Answer and explanation:
Geometary software is merely a software implementation of solving the area of a triangle. Therefore geometry software employs all the methods used in coordinate algebra(manual) albeit behind the scenes, in the console of the software, and just displays the area in the screen after solving. While geometry software displays the area using automated methods in code, coordinate algebra solves area of the triangle manually using several steps. In both cases, we observe that algebra is required to solve area of the triangle as it is part of the algorithm used in the code for the geometry software. Also being able to use the geometry software requires that one understand coordinate algebra to be able to plot lines, points and planes at the correct locations on the screen and get desired result.
Answer:
m<EAD=29°
m<CAB=119°
Step-by-step explanation:
Angles on a straight line sum up to 180°
This implies that,
61°+90°+EAD=180°
151°+EAD=180°
Subtracting 151° from both sides,we obtain,
EAD=180°-151°
EAD=29°
Angles on a straight line add up to 180°.
This implies that,
CAB+61°=180°
Subtracting 61° from both sides,we obtain
CAB=180°-61°
CAB=119°
Thus,m<EAD=29° and m<CAB=119°
Answer:
1/6
Step-by-step explanation:
there are six sides and 3 is one side so the probability of rolling a 3 is 1 in six
