The total number of students in the four classes is 100 students.
<h3>How to compute the value?</h3>
From the information, the numbers of students in the four sixth-grade classes at Northside School are 26, 19, 34, and 21.
Therefore, the total number of students will be:
= 26 + 19 + 34 + 21
= 100
Therefore there are 100 students.
Learn more about numbers on:
brainly.com/question/24644930
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Its 7y
hope this helpeddd!
Answer:
cos 2Ф = - 161/289 , tan 2Ф = - 240/161
Step-by-step explanation:
* Lets explain how to solve the problem
∵ cos Ф = - 8/17
∵ Ф lies in the 3rd quadrant
- In the 3rd quadrant sin and cos are negative values, but tan is
a positive value
∵ sin²Ф + cos²Ф = 1
∴ sin²Ф + (-8/17)² = 1
∴ sin²Ф + 64/289 = 1
- Subtract 64/289 from both sides
∴ sin²Ф = 225/289 ⇒ take √ for both sides
∴ sin Ф = ± 15/17
∵ Ф lies in the 3rd quadrant
∴ sin Ф = -15/17
∵ cos 2Ф = 2cos²Ф - 1 ⇒ the rule of the double angle
∵ cos Ф = - 8/17
∴ cos 2Ф = 2(-8/17)² - 1 = (128/289) - 1 = - 161/289
* cos 2Ф = - 161/289
∵ tan 2Ф = sin 2Ф/cos 2Ф
∵ sin 2Ф = 2 sin Ф × cos Ф
∵ sin Ф = - 15/17 and cos Ф = - 8/17
∴ sin 2Ф = 2 × (-15/17) × (-8/17) = 240/289
∵ cos 2Ф = - 161/289
∴ tan 2Ф = (240/289)/(-161/289) = - 240/161
* tan 2Ф = - 240/161
Answer:
y + 12 = - 
(x - 2)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y = 3x is in the form y = mx with slope m = 3
Given the slope of a line m then the slope of a line perpendicular to it is
= - 
= -
Hence
y - (- 12) = - (x - 2), that is
y + 12 = - (x - 2) ← in point- slope form
<h2>
Explanation:</h2>
A Perfect-Square Trinomials are quadratics that result after squaring binomials. So these Perfect-square trinomials are given in the form:
Whose Squared-Binomial Form is:
In this exercise, we have the variable 
, so changing 
it is true that:
Therefore, for our given expression we have:
So our goal is to complete this expression:
Step 1. First of all, we need to square our variable w. therefore:
Step 2. Here 
Step 3. Let's find b:
Finally, our complete expression is:
<h2>Learn more:</h2>
Factors of polynomials: brainly.com/question/1554148
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