Answer:
2
Step-by-step explanation:
Given in the question,
a + b = √17
(a+b)² = 17
a² + b² +2ab = 17
a² + b² = 17 - 2ab
<h3>Area of triangle </h3>
1/2 (h)(b)
here h is perpendicular height of triangle = a
b is the base of triangle = b
<h3>Use pythagorus theorem:</h3>
hypotenuse² = base² + height²
3² = a² + b²
9 = a² + b²
9 = 17 - 2ab
9 - 17 = -2ab
-8 = -2ab
cancel minus on both sides
8 = 2ab
ab = 8/2
ab = 4
Plug ab in the formula of area
1/2 (h)(b)
1/2 (a)(b)
1/2 (4)
4/2
2
To solve for the x, distribute first the numerical coefficients to the terms on the parentheses. This becomes,
7x - 21 = 4x + 20
Transpose all the terms with x and the constant on either sides of the equation,
7x - 4x = 20 + 21
3x = 41 ; x = 41 / 3
Thus, the answer is x = 41/3 which is fourth among the choices.
For the answer to the question above asking h<span>ow many more book does the other grade need to read to have the same rate?
I think the answer here is </span>the 7 grader needs to read 94 more books in order to catch up with 6 grade.
Answer:
Step-by-step explanation: 84500 - 1700 = 82800
82800 ÷ 12 = 6900
Erin makes $6900 a month
The system of equations 6x+4y=14 and 9x+6y=c are linear equations
The value of c that makes the system have infinitely many solutions is 21
<h3>How to determine the value of c?</h3>
The system of equations are given as:
6x+4y=14
9x+6y=c
Divide through the second equation by 3
3x + 2y = c/3
Multiply through by 2
6x + 4y = 2c/3
Subtract the first equation from the above equation
6x - 6x + 4y - 4y = 2c/3 - 14
Evaluate the differences
2c/3 - 14 = 0
Add 14 to both sides
2c/3 = 14
Multiply by 3/2
c = 21
Hence, the value of c that makes the system have infinitely many solutions is 21
Read more about system of equations at:
brainly.com/question/14323743
