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2 years ago

One of the legs of a right triangle measures 10 cm and the other leg measures 7 cm.

Mathematics

1 answer:

Phoenix [80]2 years ago

6 0

Answer:

12.2 cm

Step-by-step explanation:

we are going to use the formula (below).

Our a and b are going to be our two legs: 10cm and 7cm

$C^{2} =10^{2} +7^{2} \\C^{2}=100+49\\C^{2}=149\\C=\sqrt{149} \\C=12.2cm$

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3 years ago

Question 1 (1 point)

olga55 [171]

Answer:

1) $2y^{2}+4y-9$

2) $18x^{5}y^{4}z$

3) $6x^{5}-12x^{4}+9x^{3}$

4) 40

5) $x^{3}-7x^{2}+3x+36$

Step-by-step explanation:

1) Distribute the negative sign that is outside the parentheses and then you must add like terms, as following:

$(y^{2}-3y-5)-(-y^{2}-7y+4)=y^{2}-3y-5+y^{2}+7y-4=2y^{2}+4y-9$

2) According to the Product property of exponents, when you multiply powers with the same base, you must add the exponents. Then:

$(6xy^{3}z)(3x^{2}yx^{2})=18x^{5}y^{4}z$

3) Apply the Distributive property and the Product property of exponents. Then, you obtain:

$-3x^{3}(-2x^{2}+4x-3)=6x^{5}-12x^{4}+9x^{3}$

4) $(4a+5)^{2}$ is a square of a sum, then, by definition you have:

$(a+b)^{2}=a^{2}+2ab+b^{2}$

Then:

$(4a+5)^{2}=(4a)^{2}+2(4a)(5)+5^{2}=16a^{2}+40a+25$

The coefficient of the second term is the number in front of the variable <em>a.</em> Then, the answer is: 40

5) Apply the Distributive property and the Product property of exponents, then, oyou must add the like terms:

$(x-4)(x^{2}-3x-9)=x^{3}-3x^{2}-9x-4x^{2}+12x+36=x^{3}-7x^{2}+3x+36$

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3 years ago

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Harlamova29_29 [7]

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2 years ago

4 tomatoes and 8 avocados cost $10. Six tomatoes and 14 avocados cost $17. How much does a single avocado and a single tomato co

Nataly_w [17]

Answer:

One avocado costs $1 and one tomato costs $0.50

Step-by-step explanation:

Set up a system of equations where t is the number of tomatoes and a is the number of avocados:

4t + 8a = 10

6t + 14a = 17

Solve by elimination by multiplying the top equation by 3 and the bottom equation by -2:

12t + 24a = 30

-12t - 28a = -34

Add them together and solve for a:

-4a = -4

a = 1

Plug in 1 as a into one of the equations and solve for t:

4t + 8a = 10

4t + 8(1) = 10

4t + 8 = 10

4t = 2

t = 0.5

So, one avocado costs $1 and one tomato costs $0.50

3 0

3 years ago