Answer:
Step-by-step explanation:
The coordinates of point P are (-1.4,0.6)
Step-by-step explanation:
We are given A coordinate grid shown from negative 2 to positive 2 on x-axis and negative 2 to positive 2 on y-axis. There are 4 grid lines between a whole unit of the grid.
that means each grid has a value of 0.2.
" A point labeled P is shown at the intersection of 7 grid lines to the left of the y-axis and 3 grid lines above the x-axis "
As P lies on the left of the y-axis and above the x-axis hence the x-value will be negative and y-value will be positive.
According to the given information P lies 7 grid lines to the left of y-axis.
i.e. it has x-value -7×0.2= -1.4
and 3 grid lines above the x-axis i.e. it has y-value:
y-value= 3×0.2=0.6
Hence, the coordinates of Point P are (-1.4,0.6).
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Answer:
The larger number is -6, the smaller number is -15
Step-by-step explanation:
We have two numbers, a and b.
We know that one number is larger than another by 9.
Then we can write:
a = b + 9
then a is larger than b by 9 units.
If the greater number is increased by 10 (a + 10) and the lesser number is tripled (3*b), the sum of the two would be -41:
(a + 10) + 3*b = -41
So we got two equations:
a = b + 9
(a + 10) + 3*b = -41
This is a system of equations.
One way to solve this is first isolate one variable in one of the two equations:
But we can see that the variable "a" is already isolated in the first equation, so we have:
a = b + 9
now we can replace that in the other equation:
(a + 10) + 3*b = -41
(b + 9) + 10 + 3*b = -41
now we can solve this for b.
9 + b + 10 + 3b = -41
(9 + 10) + (3b + b) = -41
19 + 4b = -41
4b = -41 -19 = -60
b = -60/4 = -15
b = -15
then:
a = b + 9
a = -15 + 9 = -6
a = -6
Answer: look at the picture i attached!
Answer:
x=1 is the solution of the equation 2x+4=10−4x
Step-by-step explanation:
The graphs of f(x)=2x+4 and g(x)=10−4x intersect at (1, 6)
2x +4 = 10 - 4x
We need to solve for x by combining like terms
Add 4x on both sides
6x + 4= 10
Now subtract 4 on both sides
6x = 6
divide both sides by 6
x= 1
x=1 is the solution of the equation 2x+4=10−4x
Answer: Hope this helps
y = 3/5x + 100
Slope: 3/5
Y-int: 100
Step-by-step explanation:
y = mx + b
<em>replace b with y-int</em>
y = mx + 100
<em>replace m with the slope which is 3/5</em>
y = 3/5x + 100
<em>How do you get slope?</em>
<em>Well I did rise/run with two points so I saw it ran 5 squares and rose only 3.</em>
<em>How do you get the y-int?</em>
<em>Well the y-int is the point where x is 0. So using the point (0,100), since x is 0, the y-int is 100.</em>
