Answer:
- y -5 = -7(x +3)
- y = 7
Step-by-step explanation:
The point-slope form of the equation can be used for this. It is generally written as ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
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1. For m=-7, (h, k) = (-3, 5), the equation is ...
y -5 = -7(x +3)
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2. For m=0, (h, k) = (4, 7), the equation is ...
y -7 = 0(x -4)
y = 7
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<em>Comment on the form of the answer</em>
Since a point and slope are given, "<em>the</em> equation" is appropriately written in point-slope form. For the second problem the simplified version would be ...
y -7 = 0
Sometimes, "<em>the</em> equation" means the answer is expected in slope-intercept form. In that case, a little rearranging is necessary for the first answer. It becomes ...
y = -7x -16
There are perhaps a dozen different forms that a linear equation can be written in. Considering those, "the equation" is somewhat ambiguous. Your curriculum materials may offer a clue as to the form intended.
Mr.willer needs 216 cans because 27 vans times 8 banks equals 216 and 23 times 9 equals 207 so he would need 9 more cans
3.4x3=10.2...
hope this helps!!
<span> first, write the equation of the parabola in the required form: </span>
<span>(y - k) = a·(x - h)² </span>
<span>Here, (h, k) is given as (-1, -16). </span>
<span>So you have: </span>
<span>(y + 16) = a · (x + 1)² </span>
<span>Unfortunately, a is not given. However, you do know one additional point on the parabola: (0, -15): </span>
<span>-15 + 16 = a· (0 + 1)² </span>
<span>.·. a = 1 </span>
<span>.·. the equation of the parabola in vertex form is </span>
<span>y + 16 = (x + 1)² </span>
<span>The x-intercepts are the values of x that make y = 0. So, let y = 0: </span>
<span>0 + 16 = (x + 1)² </span>
<span>16 = (x + 1)² </span>
<span>We are trying to solve for x, so take the square root of both sides - but be CAREFUL! </span>
<span>± 4 = x + 1 ...... remember both the positive and negative roots of 16...... </span>
<span>Solving for x: </span>
<span>x = -1 + 4, x = -1 - 4 </span>
<span>x = 3, x = -5. </span>
<span>Or, if you prefer, (3, 0), (-5, 0). </span>
Answer:
112
Step-by-step explanation:
I am not 100% sure because I can't see information given on the shape, but assuming it is equal angles