Answer:
y=(7±√89)/-4
Step-by-step explanation:
y=(-b±√b^2 -4ac)/2a
Rewrite given equation in quadratic form so it is -2y-7y+5=0
Then, in formula, sub -2 for a, -7 for b, and 5 for c
y=-(-7)±√(-7)^2 -4(-2)(5)/2(-2)
When you multiply that out you get
7±√49-(-40)/-4
The next step is the answer given above
If you need the answer not in sq rt form, it is y=-4.1085 and y=0.0608
The value of c is 81/64 for the expression a perfect square trinomial.
<h3>
What is an Expression?</h3>
An expression can be defined as a mathematical statement that consists of variables, constants and mathematical operators simultaneously.
It is given that an expression
x² +9/4x +c is a perfect square polynomial
c =?
(a+b)² = a² +2ab+b²
2ab = 9/4
b = 9/8
c = b² = 81/64
Therefore the value of c is 81/64 for the expression a perfect square trinomial.
To know more about Expression
brainly.com/question/14083225
#SPJ1
Answer:
Length = 18 in
Width = 15 in
Step-by-step explanation:
We have that the area of a rectangle is:
A = L * W
but L = 1.2 * W
A = 1.2 * (W ^ 2)
1.2 * (W ^ 2) = 270
(W ^ 2) = 270 / 1.2
W ^ 2 = 225
Therefore, W is equal to:
W = 225 ^ (1/2)
W = +/- 15, but only +15 makes sense
W = 15
Now for L:
L = 1.2 * 15
L = 18
A = 15 * 18 = 270 in ^ 2
Answer:
x = 6
Step-by-step explanation:
We want to solve:
First, isolate the variable by moving all the terms with x to one side and all the constants to the other side:
Combining the fraction on the left, we get:
6/3 = 2, so:
2x = 12
Dividing both sides by 2 yields:
x = 6
This is how I would solve it:
1st # = x 4(x+1)=3x+18
2nd # = x+1 4x+4=3x+18
4x=3x+14
x=14
To check: 15x4=60; 60-42=18. <u>1st # = 14; 2nd # = 15.</u>
