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NikAS [45]
1 year ago
15

Find the area of the shapes below. Make sure to label your answers with units.

Mathematics
1 answer:
Anvisha [2.4K]1 year ago
3 0
Triangle: 13.3 km Why: the formula is 1/2 base x height.
Square: 57.4 Why: 7x8.2 which equals 57.4
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Solve the nonlinear system of equations. State the number of solutions.
WITCHER [35]

Answer:

Step-by-step explanation:

Hello,

Question 15

We can search x such that:

   x^2-4x+4=2x-5\\\\\text{*** subtract 2x-5 from both sides ***}\\ \\x^2-4x-2x+4+5=0\\ \\\text{*** simplify ***}\\ \\x^2-6x+9=0 \\ \\\text{*** we can notice a perfect square ***}\\ \\x^2 -2\cdot x \cdot 3 + 3^2=(x-3)^2=0\\\\\text{*** taking the root ***}\\\\x-3=0\\\\\large \boxed{\sf \ \ x=3 \ \ }

There is 1 solution.

Question 16

Again, we search x such that:

  x^2-8x+15=2x-6\\\\\text{*** subtract 2x-6 from both sides ***}\\\\x^2-8x-2x+15+6=0\\\\\text{*** simplify ***}\\\\x^2-10x+21=0 \\ \\\text{*** we are looking for two roots where the sum is 10 and the product is 21 = 7 x 3 ***} \\\\x^2-7x-3x+21=x(x-7)-3(x-7)=(x-3)(x-7)=0\\\\\large \boxed{\sf \ \ x= 3 \ or \ x =7 \ \ }There are two solutions.

 

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

7 0
3 years ago
A number is multiplied by 4, and then 6 is added to the product. The result is 18. What is the number? I already know that the a
allsm [11]
You can check your answer by multiplying 3 with 4 <span>and then add 6  to the product. Then your result will be 18.</span>
4 0
3 years ago
Please help me <br><br> dont take my points
oksian1 [2.3K]
1. √16 = 4
2. √2.25 = 1.5
3. 6^2 / 9 *2 = 8
4. 12-2 / 6+4 = 1
5. √16+9 = 5
6. 63 / 3^2 + |2| = 9
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2 years ago
Read 2 more answers
Common differences among the
drek231 [11]
The x is horizontal on a graph and then the y axis is vertical on a graph.
3 0
3 years ago
Donald says he uses a standard number cube for simulations that involve 2, 3, or 6 equal outcomes. Complete the explanation for
Alexxandr [17]

Answer:

C

Step-by-step explanation:

7 0
3 years ago
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