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Nitella [24]
3 years ago
10

I need help please!!!

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
4 0

Answer:

Image is all black, cant help ya!

Step-by-step explanation:

I believe it is 5x-7+ jkjksorry

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PLEASEE HELPPPP IVE BEEN WAITING FOR HOURS!!!!!
kozerog [31]

Answer:

The perimeter is 32\sqrt{7} cm.

Step-by-step explanation:

Perimeter is found by adding all sides of the triangle together. So, this is what we need to find: 8\sqrt{7}+4\sqrt{63}+6\sqrt{28}

  • Only <u>like radicals</u> can be added or subtracted from one another. They'll have the same root number (which seems to be true for this question) as well as the radicand, which is the number/expression under the radical.

Look at the number under the radical: 7, 63, and 28. These numbers all share a factor of 7:        7/7 = 1,          63/7 = 9,         28/7 = 4.

Notice how 9 and 4 are perfect squares, so we can simplify the radicals using this common factor of 7.

8\sqrt{7} remains the same;    4\sqrt{63}=4\sqrt{9(7)} =4(3)\sqrt{7}=12\sqrt{7}; and

6\sqrt{28}=6\sqrt{4(7)}=6(2)\sqrt{7}=12\sqrt{7}. Now they are like radicals and can be added!

8\sqrt{7}+12\sqrt{7}+12\sqrt{7}=32\sqrt{7}

3 0
2 years ago
Jessica and Martha each have a bag of cookies with unequal quantities. They have 30 cookies total between the two of them. Each
Basile [38]

Answer:

Part 1) The inequality that describes the relationship between the number of cookies each one of them has is x^{2} -30x+224\geq 0

Part 2) Jessica has at least 2 cookies more than Martha

Step-by-step explanation:

Part 1) Find the inequality that describes the relationship between the number of cookies each one of them has

Let

x----> the number of cookies when Jessica started

30-x ----> the number of cookies when Martha started

we know that

Each of them ate 6 cookies from their bag

so

The cookies left in each bag are

(x-6)  ----> Jessica

and (30-x-6)=(24-x) ---> Martha

The product is equal to (x-6)(24-x)

The product of the number of cookies left in each bag is not more than 80.

so

(x-6)(24-x)\leq 80\\ \\24x-x^{2}-144+6x\leq 80\\ \\-x^{2} +30x-144-80\leq 0\\ \\-x^{2} +30x-224\leq 0

Multiply by -1 both sides

x^{2} -30x+224\geq 0

Part 2) Solve the quadratic equation

x^{2} -30x+224\geq 0

Solve by graphing

The solution is x=16 cookies

so

(30-x)=30-16=14 cookies

therefore

The number of cookies when Jessica started was 16 cookies

The number of cookies when Martha started was 14 cookies

The number of cookies left in each bag  is equal to

Jessica

16-6=10 cookies

Martha

14-6=8 cookies

Jessica has at least 2 cookies more than Martha

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