Answer:
AW=10
Step-by-step explanation:
In a parallelogram opposite sides are congruent meaning XA and AZ are congruent. YA and AW are congruent. So...
Solving for XA and AZ
XA=AZ
3m=5m-4
-2m=-4
m=2
If YW=10m then 10 x 2 = 20
20 divided by 2 = 10
Using the discriminant of a quadratic equation, it is found that the quadratic equation would have one repeated solution for m = -3.
<h3>What is the quadratic equation?</h3>
The quadratic equation is given as follows:
mx² + 12x - 12.
<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>
A quadratic equation is modeled by:
The discriminant is:
The solutions are as follows:
- If
, it has 2 real solutions.
- If
, it has 1 real solutions.
- If
, it has 2 complex solutions.
For this problem, the coefficients are:
a = m, b = 12, c = -12.
Hence the discriminant is:
b² - 4ac = 144 + 48m.
We want it to be of 0, hence:
144 + 48m = 0
m = -144/48
m = -3.
More can be learned about the discriminant of a quadratic equation at brainly.com/question/19776811
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<span>32*18=576 oz. </span>
<span>Store A offers 24-12 oz cans for $5.89. That means $5.89 gets you 288 oz. Store B offers 12-12oz cans for $3.79, so that means $3.79 gets you 144oz. </span>
<span>Store A is $5.89 per every 288 oz. You need 576 oz, which is double that. That means it will cost you twice as much as it would buying 24-12 oz cans: </span>
<span>$5.89*2=$11.78 </span>
<span>Store B is $3.79 for 144 oz. As previously stated, you need 576 oz, so you'll need to buy 4 12-packs of 12 oz cans: </span>
<span>$3.79*4=15.16 </span>
<span>So not only is Store A a better deal, but they'll save you $15.16-$11.78=$3.38 dollars. </span>
Answer:
x = 11
Step-by-step explanation:
A segment parallel to a side of a triangle cuts off proportional segments on the sides.
48/6 = (3x + 7)/5
8 = (3x + 7)/5
3x + 7 = 40
3x = 33
x = 11
