Slope = (1-0)/(-2-4) = -1/6
<span>POINT-SLOPE equation
y - 0 = -1/6(x - 4)
hope it helps</span>
Well i think is better expressed if x^2=9.then x=3, that will be better expressed. Now the converse if clearly false, since if x^2<span>=9</span> it is possible that <span>x=−3. I hope this is useful for you</span>
Answer:
Carter family = 25 hours
Davis family = 31 hours
Step-by-step explanation:
Let's say the number of hours the Carter family used their sprinkler is x and the number of hours the Davis family used their sprinkler for is y.
So combined:
x + y = 45 hours
and we are also told that:
40x + 15y = 1300 L
So we can do simultaneous equations to solve the problem.
With some rearranging, we can figure out that:
y= 45 - x
and by substituting that into the second equation:
40x + 15 (45 -x) = 40x + 675 - 15x = 1300L
25x = 1300 - 675
25x = 625
x = 25 = hours that the Carter family used their sprinkler
and we can substitute that back into the original equation to find how many hours the Davis family used their sprinkler so:
25 + y = 56
y = 31
The Davis family used their sprinkler for 31 hours whilst the Carter family used their sprinkler for 25 hours.
Answer:
Length of rectangle = 16 cm
Width of rectangle = 4 cm
Step-by-step explanation:
Given:
Area of rectangle = 64 cm²
Find:
Length and width
Computation:
Assume;
Length of rectangle = a
So,
Width of rectangle = a -12
Area of rectangle = l x b
So,
a(a-12) = 64
a² - 12a - 64 = 0
a² - (16-4)a - 64 = 0
a² - 16a+ 4a - 64 = 0
a (a-16) + 4(a-16)= 0
(a-16)(a+4) = 0
a= 16 , a = -4
So,
Length of rectangle = 16 cm
Width of rectangle = a -12
Width of rectangle = 16 -12
Width of rectangle = 4 cm
<h2>The missing measures of the angles are:</h2>

<u>Given</u>:

<em><u>Note the following:</u></em>
- An equilateral triangle has all its three angles equal to each other. Each angle =
.
- This implies that, since
is equilateral, therefore, 
- Base angles of an isosceles triangle are congruent to each other.
- This implies that, since
is isosceles, therefore, 
Applying the above stated, let's find the measure of each angle:
- Find

(an angle in an equilateral triangle equals 60 degrees)
- Find




- Find
and
(base angles of isosceles triangle WZY)


(base angles of isosceles triangle are congruent)
Therefore,

- Find


Substitute

The missing measures of the angles are:

Learn more here:
brainly.com/question/2944195