Answer:
The graph in the attached figure
Step-by-step explanation:
we have
-3x-2y=2
step 1
Find the y-intercept
The y-intercept is the value of y when the value of x is equal to zero
so
For x=0
-3(0)-2y=2
-2y=2
y=-1
The y-intercept is the point (0,-1)
step 2
Find the x-intercept
The x-intercept is the value of x when the value of y is equal to zero
so
For y=0
-3x-2(0)=2
-3x=2
x=-2/3=-0.667
The x-intercept is the point (-0.667,0)
step 3
Find the third point
For x=2
substitute
-3(2)-2y=2
-6-2y=2
-2y=8
y=-4
The third point is (2,-4)
step 4
Plot the points and graph the line
see the attached figure
Note Just two points was enough to draw the line.
<span>: 2s + 3t = 28, 2s = 28 - 3t s = 14 - 3t/2 Substitute s into second equation 5s + 6t = 61, 5(14 - 3t/2) + 6t = 61, 70 - 15t/2 + 6t = 61, 70 - 3t/2 = 61, 3t/2 = 9, t = 6. We can then substitute t back into first equation: 2s + 3t = 28, 2s + 3 * 6 = 28, 2s = 10, s = 5. So the final answer is: s = 5 t = 6</span>
By applying Pythagorean's theorem, the missing side of this right-angled triangle is: A. 7√3 inches.
<h3>How to find the missing side?</h3>
By critically observing the triangle shown in the image attached below, we can logically deduce that it is a right-angled triangle. Thus, we would find the missing side by applying Pythagorean's theorem:
z² = x² + y²
Also, the sides of this right-angled triangle are:
- Opposite side = x inches.
- Adjacent side = 7 inches.
Substituting the given parameters into the formula, we have;
14² = x² + 7²
196 = x² + 49
x² = 196 - 49
x² = 147
x = √147
x = √49 × √3
x = 7√3 inches.
Read more on Pythagorean theorem here: brainly.com/question/23200848
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Answer:
144in
Step-by-step explanation:
You have to convert the 1ft into 12in and then multiply 12 x 6 x 2