<em><u>question</u></em><em><u>:</u></em><em><u> </u></em>
<em>reflection </em><em>across </em><em>the </em><em>y </em><em>axis </em>
<em><u>answer:</u></em><em><u> </u></em>
<em>P </em><em>-</em><em>></em><em> </em><em>P' </em><em>(</em><em>-</em><em>4</em><em>,</em><em>-</em><em>2</em><em>)</em><em> </em>
<em>M </em><em>-</em><em>></em><em> </em><em>M' </em><em>(</em><em>-</em><em>4</em><em>,</em><em> </em><em>-</em><em>4</em><em>)</em><em> </em>
<em>Z </em><em>-</em><em>></em><em> </em><em>Z' </em><em>(</em><em>-</em><em>5</em><em>,</em><em>-</em><em>4</em><em>)</em>
<em>hope </em><em>this </em><em>helps, </em><em>have </em><em>a </em><em>great </em><em>day </em><em>:</em><em>)</em><em> </em>
<h2>Answer: y = x - 1</h2>
<h3>Step-by-step explanation:
</h3>
<u>Find the slope of the parallel line</u>
When two lines are parallel, they have the same slope.
⇒ if the slope of this line = 1
then the slope of the parallel line (m) = 1
<u>Determine the equation</u>
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line: (5, 4)
⇒ y - 4 = 1 (x - 5)
∴ y - 4 = x - 5
We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:
since y - 4 = x - 5
<h3> y = x - 1</h3>
To test my answer, I drew a Desmos Graph with the information provided in the question and my answer.
Answer:
The second option: 4 1/2 x = 22 1/2
Step-by-step explanation:
The whole volume is 22 1/2 so that is on one side of the equals sign but it must be by itself. Then the formula for volume is length x width x height.
so 22 1/2 = l x w x h
Two of these numbers are given. You multiply 3 x 1 1/2 to get 4 1/2 times the unknown value of x
Step-by-step explanation:
ABC is an isoceles triangle (both legs are equally long). and AB is its baseline.
OC is now a median for ABC splitting the angle at C and AB in half.
so, we have 2 right-angled triangles : OAC and OBC.
the half-angles at C are 42/2 = 21°.
the angles at A and B are 90°.
and the half-angles at O are 180 - 90 - 21 = 69°.
remember that the sum of all angles in a triangle must always be 180°.
AB are the heights of both of these triangles.
the single height is sin(69)×7 = 6.535062985... cm
and so,
AB = 2× height = 13.07012597... cm.