Answer:
+1 and -1
Step-by-step explanation:
The function in this problem is:

First of all, we have to define the domain of the function, which is the set of values of x for which the function is defined.
In order to find the domain, we have to require that the denominator is different from zero, so

which means:

So the domain is all values of x, except from 4 and -7.
Now we can solve the problem and find the zeros of the function. The zeros can be found by requiring that the numerator is equal to zero, so:

This is verified if either one of the two factors is equal to zero, therefore:

and

We see that both values are part of the domain, so they are acceptable values: so the zeros of the function are +1 and -1.
Answer:
1. 109
2. 29
3. 71
Step-by-step explanation:
1. since a triangle's interior angles always add up to 180, you can add 35 and 36 to get 71, then subtract that from 180 to find the third angle
2. the unnamed angle in triangle RUV is supplementary to <1.Supplementary angles are angle the add up to 180. So you can subtract 109 from 180 to find the unnamed angle. It is 71. Now you can repeat the steps in question one to find <2 in triangle RUV. You get that <2 is 29
3. Angle 3 and the unnamed angle are vertical angles. This means that they are opposite to each other and are congruent. This means that they have the same measure. Knowing that the unnamed angle is 71, we can say that angle 3 is also 71.
The light's coverage area is given mathematically as i.e. Area=
Given that a lighthouse casts a revolving beam of light as far as they peir and asked the area is covered.
The revolving beam of light covers the whole space i.e entirely 360°
I.e. it forms a circle-like region
Area of circle =
{ where r is the radius of circle}
Let's assume the distance traveled by light as "d"
as it forms a circular region, it forms a circle of radius "d"
Mathematical connection i.e. area of the region
⇒area of circular region=
{where d is the radius of region}
Learn more about area here:
brainly.com/question/27683633
#SPJ9
Answer:
1,184 sq cm
Step-by-step explanation:
Surface area= 2 (1/2 x 8 x 12 + 34 x 10) + 34 x 12
= 1,184 sq cm
Hope this helps!