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DIA [1.3K]
3 years ago
5

How do you solve this? Please help

Mathematics
1 answer:
Pie3 years ago
6 0
Wbertkdiwrjrjjwjwj !!!
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Find the vertex and length of the latus rectum for the parabola. y=1/6(x-8)^2+6
Ivan

Step-by-step explanation:

If the parabola has the form

y = a(x - h)^2 + k (vertex form)

then its vertex is located at the point (h, k). Therefore, the vertex of the parabola

y = \dfrac{1}{6}(x - 8)^2 + 6

is located at the point (8, 6).

To find the length of the parabola's latus rectum, we need to find its focal length <em>f</em>. Luckily, since our equation is in vertex form, we can easily find from the focus (or focal point) coordinate, which is

\text{focus} = (h, k +\frac{1}{4a})

where \frac{1}{4a} is called the focal length or distance of the focus from the vertex. So from our equation, we can see that the focal length <em>f</em> is

f = \dfrac{1}{4(\frac{1}{6})} = \dfrac{3}{2}

By definition, the length of the latus rectum is four times the focal length so therefore, its value is

\text{latus rectum} = 4\left(\dfrac{3}{2}\right) = 6

5 0
3 years ago
Select the correct answer from each drop-down menu.
kow [346]

Triangle ABC and triangle XYZ are similar based on angle-side-angle criterion.

Triangle ABC and triangle RQP are similar based on side-angle-side criterion.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Two triangles are said to be congruent if they have the same shape and their corresponding sides are congruent.

Triangle ABC and triangle XYZ are similar based on angle-side-angle criterion.

Triangle ABC and triangle RQP are similar based on side-angle-side criterion.

Find out more on equation at: brainly.com/question/2972832

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5 0
2 years ago
(-7 - 2n)(-0.6) simplify equation
Degger [83]

Answer:

4.2  +  1.2 n

hope this helps!

7 0
3 years ago
Round 0.172 to the nearest hundredth.
aleksandr82 [10.1K]
It is <span>Round 0.172 to the nearest hundredth.</span>
8 0
3 years ago
Read 2 more answers
-5+7=7+-5 is this number sentence true or false
vovikov84 [41]

Answer: True

Step-by-step explanation:

We can simplify each of the expressions on either side to see if they are equal.

Left side: -5+7=7-5= 2

Right side: 7+-5=7-5= 2

Yes, they are equal.

7 0
1 year ago
Read 2 more answers
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