To form an equation with the given information, we use the formula :
y = mx + b, m being the slope and b being the y-intercept.
Since it is given that the slope is -9/7, we substitute m with -9/7.
y = -9/7x + b
To find b, we will substitute the known coordinates into the equation :
At point (-7 , 4), x = -7, y = 4
4 = -9/7 (-7) + b
4 = 9 + b
b = 4 - 9
b = -5
Now we know that b = -5, we will substitute b = -5 into the equation that we found earlier, y = -9/7 x + b :
y = - 9/7x - 5
To make it more readable, we can multiply the equation by 7:
7y = -9x - 5
7y + 9x + 5 = 0
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Answer : 7y + 9x + 5 = 0
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Answer:
1.(6*4) + (18*6) + (6*4)
1.(6*10) + (6*6) + (6*10)
Step-by-step explanation:
there are two ways to break this shape into three rectangles:
1.Top right rectangle, Top left rectangle, Bottom long rectangle
2. Left rectangle, Middle square, Right rectangle.
Answer:
x = 23, and y = 27.
Step-by-step explanation:
Lets say,
x = width
y = length
this means,
x(2) + y(2) = 100
It also says that the width is 4 meters less than the length.
if we put that into equation form it would look like this,
y - 4 = x
using these 2 equations, we can use the subustusion method to find the x.
x(2) + y(2) = 100
turns in to this :
step 1. (y - 4) (2) + y(2) = 100 - given
step 2. 2y -8 + 2y = 100 - distribute
step 3. 4y -8 = 100 - Combine like terms
step 4. 4y = 108 - Get rid of the 8
step 5 4y/4 = 108 /4 - divide
step 6 . y = 27
So if y is 27, then
x(2) + 27(2) = 100
x(2) + 54 = 100
100 - 54 = 46, so x(2) is 46, but to get x, we need to divide 46 by 2, since x multiplied by 2 equals 46.
46 / 2 = 23 = x
so x = 23, and y = 27.
and the rule that y - 4 = x still applies, since 27 - 4 = 23.
I hope this wasn't confusing! It did take a long time tho.
Answer:
The length of side <em>b</em> is 9.
Step-by-step explanation:
Triangles are similar if they have the same shape, but can be different sizes.
When two figures are similar, the ratios of the lengths of their corresponding sides are equal.
If you know that two objects are similar, you can use proportions and cross products to find the length of an unknown side. We know that the triangle 
is similar to the triangle 
. Therefore the following relation must be true:
We know that side 
is equal to 8, side 
is equal to <em>b, </em>side 
is equal to 
, and side 
is equal to 3.
Substituting these values into the above relation and solving for <em>b</em> we get that:
Answer:
(1,5)
Step-by-step explanation:
2x-3(x+4)=-13 y=1+4
2x-3x-12=-13 y=5
-x-12=-13
+12
-x=-1/-1
x=1
