There is only one solution for the equation 4z + 2(z -4) = 3z + 11 because the exponent for the power of z is 1.
<h3>What is an equation?</h3>
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
<h3>What is the Solution?</h3>
A solution is any value of a variable that makes the specified equation true.
According to the given information:
4z + 2(z-4)= 3z+11
Solve the equation,
4z+2z-8=3z+11
6z-3z=11+8
3z =19
z=
Hence,
Number of solution that can be found for the equation 4z + 2(z-4)= 3z+11 is option(2) one
To know more about Equations and Solutions visit:
brainly.com/question/545403
#SPJ4
1) Those are polar coordinates
2) The expression inside cosine is the angle of the vector to be drawn
3) r is the length of the vector to be drawn.
For example:
- if you take angle =0 and r results to be =2, it means that you have to put a point over the x-axis at a distance of two units from the origin.
4) You have to look for notable values, like points on the axis and notable angles (0, 45°, 90°, 180 °,...)
5) Use derivation to find maximum and minimum values.
6) The graph of this function looks like the infinite symbol: ∞
7) Some notable points are: (0,0) ; (0,2) ; (0, - 2)
See attached the complete graph as a reference.
Answer:
Yessssss!
Step-by-step explanation:
Answer:
c = 12.5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Identify</u>
Leg <em>a</em> = 7.5
Leg <em>b</em> = 10
Hypotenuse <em>c</em> = <em>c</em>
<em />
<u>Step 2: Solve for </u><em><u>c</u></em>
- Substitute in variables [Pythagorean Theorem]: 7.5² + 10² = c²
- Rewrite: c² = 7.5² + 10²
- Evaluate exponents: c² = 56.25 + 100
- Add: c² = 156.25
- [Equality Property] Square root both sides: c = 12.5
We know that there are 16 girls. That is the first part of the ratio. Now, it says girls to students, which mean you have to add up the total of girls and boys together. 12+16=28. There are 28 students in total. Now, you have the ratio of 16:28. But, it says simplified...so we need to divide both sides of the ratio by a number. Let's choose 4 because 4 can go both into 16 and 28. 16/4=4. 28/4=7. So, the simplified ratio of girls to students in the classroom is 4:7.
Hope this helped!
