Answer:
(-7, 7)
Step-by-step explanation:
The formula for calculating the coordinate point is expressed as;
M(X, Y) = (ax1+bx2/a+b, ay1+by2/a+b)
X = ax1+bx2/a+b
X = 2(-10)+3(-5)/2+3
X = -20-15/5
X = -35/5
X = -7
Y = ay1+by2/a+b
Y = 2(10)+3(5)/2+3
Y = 20+15/5
Y = 35/5
Y = 7
hence the required coordinate is (-7, 7)
The value of x and y from the given figure are 3 and 36
<h3>Similarity theorem of triangles</h3>
From the given similar triangles, the following expression is true
4/6 = x/54
Cross multiply
6x = 4 *54
x = 4 * 9
x = 36
Similarly
y/6 = 27/54
y/6 = 1/2
x =3
Hence the value of x and y from the given figure are 3 and 36
Learn more on similar triangle here; brainly.com/question/14285697
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Answer:
<u><em>The cylinders volume is </em></u><u><em>113.04 cubic inches</em></u>
Step-by-step explanation:
<u><em>The volume of a cylinder can be represented by the formula : </em></u><u><em>V = π*r^2*h</em></u>
<u><em>So, now that we have the formula, we can simply </em></u><u><em>plug in the values</em></u><u><em>, and we have the volume of the cylinder.</em></u>
<u><em>V = π * 2^2 * 9</em></u>
<u><em>V = π * 4 * 9</em></u>
<u><em>It says to use 3.14 as π.</em></u>
<u><em>V = 3.14 * 4 * 9</em></u>
<u><em>V = 113.04</em></u>
<u><em>The cylinders volume is </em></u><u><em>113.04 cubic inches</em></u>
Answer:
35x + 60y = 14,000
And
x + y = 260