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vivado [14]
3 years ago
8

Which graph below shows a line that contains ordered pairs that are solutions of the equation shown?

Mathematics
1 answer:
Vinvika [58]3 years ago
7 0

Given:

The equation is:

y=-x+4

To find:

The graph of the line that contains ordered pairs that are solutions of the given equation.

Solution:

We need to find the graph of the given equation.

We have,

y=-x+4

At x=0, we get

y=-0+4

y=4

So, the x-intercept of the given equation is at point (0,4).

At y=0, we get

0=-x+4

x=4

So, the y-intercept of the given equation is at point (4,0).

From the given graphs it is clear that the line in option C has x-intercept at point (0,4) and y-intercept at point (4,0).

Therefore, the correct option is C.

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5+ (9.7 - b ) =6.8 what is the value of b
Alex777 [14]

Answer:

b = 7.9

Step-by-step explanation:

5 + (9.7 - b) = 6.8 \\ 5 + 9.7 - b = 6.8 \\ 14.7 - b = 6.8 \\  - b = 6.8 - 14.7 \\  - b =  - 7.9 \\  = b = 7.9

6 0
3 years ago
Find the distance between the points (3,-5)<br> and<br> (3,-2).
iren [92.7K]

Answer:

3 units

Step-by-step explanation:

Distance between two points (x1,y1) and (x2,y2) on coordinate plane is given by

distance = \sqrt{(x1-x2)^2 +(y1-y2)^2  }

Given points in the problem are (3,-5)  and (3,-2).

Thus distance between points (3,-5)  and (3,-2).

distance = \sqrt{(x1-x2)^2 +(y1-y2)^2  }\\=>distance = \sqrt{(3-3)^2 +(-5-(-2))^2  }\\=>distance = \sqrt{(0)^2 +(-5+2)^2  }\\\\=>distance = \sqrt{0 +(-3)^2  }\\\\=>distance = \sqrt{9  }\\=>distance = 3

Distance between points (3,-5)  and (3,-2) is 3 units

3 0
3 years ago
A florist has 30 carnations and 42 roses. He wants to put the flowers in vases so that each vase has the same number of flowers
Nesterboy [21]

Note that

  • 30=2·3·5;
  • 42=2·3·7.

Find the grearest common factor GCF(30,42). You can see that numbers 30 and 42 have common factors 2 and 3, then

GCF(30,42)=2\cdot 3=6.

This gives that the greatest number of identical vases florist can fill is 6. Each vase will contain

  • 30:6=5 carnations;
  • 42:6=7 roses.

Therefore, in each vase will be 12 flowers (5 carnations and 7 roses).


4 0
3 years ago
Someone solve for X please ? Step by step
irina1246 [14]
Start by distributing the 7 to both terms on the left hand side, and the 5 to both terms on the right hand side.

7(x - 2) = 5(x + 4)
7x - 14 = 5x + 20

Now, to solve for x, start by isolating the variable as much as you can.
7x - 5x = 20 + 14
2x = 34

x = 17
3 0
3 years ago
Precise approximation of squar root of 12
Lady bird [3.3K]

3.46410161514. i used a calculator so hopefully this is correct

6 0
3 years ago
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