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3 years ago

7. A large wall map is drawn so that 1 inch equals

Mathematics

1 answer:

ladessa [460]3 years ago

3 0

From all the math I’ve done it does not seem that any of them a correct

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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

If the diameter of a circle is 5 centimeters, how long is the arc subtended by an angle measuring 60° ?

s2008m [1.1K]

circumference = 5 * PI = 15.7079632679 
arc length = circumference • [central angle (degrees) ÷ 360]
arc length = 15.7079632679 * 60 /360
arc length = 2.617993878

8 0

3 years ago

Read 2 more answers

How many ways can a committee chairman choose 4 people for a subcommittee if there are 12 members on the whole committee?

Marina86 [1]

A group of k elements can be chosen from a group of n elements in $\frac{n!}{k!(n-k)!}$ ways.

$(^{12} _4)=\frac{12!}{4!(12-4)!}=\frac{12!}{4! \times 8!}=\frac{8! \times 9 \times 10 \times 11 \times 12}{2 \times 3 \times 4 \times 8!}=\frac{9 \times 10 \times 11 \times 12}{2 \times 3 \times 4}= \\ \\
=3 \times 5 \times 11 \times 3=495$

The answer is B. 495.

7 0

3 years ago

AHHHhHhHhHHhhHHHhHH!!!!!!!!

erma4kov [3.2K]

Answer:

8x4x2=64+24=88 the answer is 88 yw :) pls give brainliest

Step-by-step explanation:

4 0

3 years ago

Many bank accounts never go below zero. But some banks will allow a negative balance, at least for a short time, called an overd

Sergio039 [100]

Answer:

the amount after 3 weeks is $37.33

Step-by-step explanation:

Given that

His balance is -$48.82 i.e. overdraft

Now in order to get the positive balance, he plans to deposit the money of $28.55 per week

We need to find out the amount after 3 weeks

So,

= -$48.32 + $28.55 + $28.55 + $28.55

= $37.33

hence, the amount after 3 weeks is $37.33

3 0

3 years ago