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ddd [48]
3 years ago
12

Using a graphical method, solve the simultaneous equations x+y =4 and y=2x+1

Mathematics
1 answer:
adoni [48]3 years ago
7 0

Answer:

(1, 3)

Step-by-step explanation:

Given the expression

x+y = 4 ... 1

y = 2x+1 ....2

Substitute equation 2 into 1

x + (2x+1) = 4

3x + 1 = 4

3x = 4-1

x = 3/3

x = 1

Since y = 2x + 1

y = 2(1) + 1

y = 3

Hence the solution to the equation is (1,3). This means that the coordinate point on the graph where both lines intersect will be at (1, 3)

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A quadilateral ABCD is drawn to circumcribe a circle . prove that AB+CD=AD+BC
lora16 [44]

Answer:

Helllllp

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
The sum of 3 consecutive even integers is 50 more than the smallest one. Find the integers.
Yuliya22 [10]
Let's imagine the integers are a, b, and c. Since we know the sum of these numbers is 50 more than the smallest (which is a), our equation would look like this:

a + b + c = a + 50

We need a common variable, though, which we don't have right now. Since we know that these are 3 consecutive <em>even </em>integers, we know that:

b = a +2, which means that the second number is 2 more than the first number.
Using that same logic, we know that c = b +2 and since we know what b equals, we can sub that into this:

c = b + 2
c = (a + 2) + 2
c = a +4

So now instead of having this:

a + b + c = a + 50 

We have this:

a + (a + 2) + (a + 4) = a + 50
3a + 6 = a + 50

Subtract a + 6 from both sides:

3a + 6 - (a + 6) = a + 50 - (a + 6)
2a = 44

Divide both sides by 2

2a/2 = 44/2
a = 22

The smallest integer is 22 which means the set would be:
22, 24, and 26


4 0
3 years ago
write an equation in point slope form of the line that passes through the point (-3,6) and has a slope of 5
quester [9]

Answer:

y=5x+6

Step-by-step explanation:

use the equation y=mx+b

m=slope and b=y-intercept

You can go ahead and insert 5 into the equation because we know that the slope of the line is 5. for b. the y-intercept, we know that points are in (x,y) form so we can infer that -3 is the x and 6 is the y. from here you can plug in the number 6 for b and there's your equation. hope this helps!!

7 0
4 years ago
Which inequality represents all possible solutions of -6n &lt; -12
rewona [7]

Answer:

The only solutions would be that the numbers HAVE to be greater than 2

Step-by-step explanation:

-6n < -12

-n < -2

n > 2

5 0
3 years ago
Find the area of the parallelogram that has a base of 23 cm and a height of 17 cm.
astraxan [27]

The area of the parallelogram is 391 cm².

The area of a parallelogram is calculated by multiplying the base by the height.

A=b×h

A=23 cm×17 cm

A=391 cm²

8 0
3 years ago
Read 2 more answers
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