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Nostrana [21]
3 years ago
8

Find the product for the following expressions: (8c + 2)(5c-7)

Mathematics
2 answers:
Marianna [84]3 years ago
8 0

Answer:40c^2-46c -14

Step-by-step explanation:

(8c+2)*(5c-7)

8c*(5c-7)+2(5c-7)

40c^2-56c+10c-14

40c^2-46c-14

klio [65]3 years ago
3 0

<u>Answer:</u>

<h2>(8c + 2)(5c-7) = 40c²-46c-14</h2>

<u>Explanation:</u>

(8c + 2)(5c-7) = 40c²-56c+10c-14

(8c + 2)(5c-7) = 40c²-46c-14

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If A(1,2), B(5,-4) and (-3,2) are the vertices of a triangle, which statement holds true?
Zigmanuir [339]

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The correct option is A.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

The length of different sides are:

AB = \sqrt{(5-1)^2+(-4-2)^2} = \sqrt{16+36} = \sqrt{52}\rm\ units

BC = \sqrt{(-3-5)^2+(2+4)^2} = \sqrt{64+36} = 10\rm\ units

AC = \sqrt{(2-2)^2+(-3-1)^2} = \sqrt{16} = 4\rm\ units

Since the length of all the sides of the triangle is not equal it is a scalene triangle.

Hence, the correct option is A.

Learn more about Triangle:

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2 years ago
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Please help me with the question?
mel-nik [20]

Answer:

<a=55° ,< b=55° and <c=70°

8 0
2 years ago
Kenny had 5/7 more trading cards than lee. After Kenny collected 50% more trading cards, he had 220 more trading cards than lee.
svp [43]

Answer:

Step-by-step explanation:

Let X is the number of cards Kenny has

Let Y is the number of cards Lee has

1. Kenny had 5/7 more trading cards than lee, it means

X = Y + 5/7X (1)

2. After Kenny collected 50% more trading cards, he had 220 more trading cards than lee, it means:

X + 50%X = Y +  220 (2)

So, we solve the 2 equations to find out X and Y

\left \{ {{X=Y + 5/7X} \atop {1.5X=Y +220}} \right.

<=> X = \frac{3080}{17} and Y = \frac{880}{17}

<=> X ≈181 and Y ≈ 52

6 0
3 years ago
Solve for x in the equation below(all in picture).
EleoNora [17]

Answer:

x = - 5, x = 2

Step-by-step explanation:

Using the rules of logarithms

log x - log y = log (\frac{x}{y} )

log_{b} x = n ⇔ x = b^{n}

note that log x = log_{10} x

Given

log (x² + 3x) - log10 = 0, then

log(\frac{x^2+3x}{10} ) = 0, thus

\frac{x^2+3x}{10} = 10^{0} = 1 ( multiply both sides by 10 )

x² + 3x = 10 ( subtract 10 from both sides )

x² + 3x - 10 = 0 ← in standard form

(x + 5)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 2 = 0 ⇒ x = 2

Solution is x = - 5, x = 2

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3 years ago
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Women's heights average 65 inches with a standard deviation of 2.2 inches in a certain study. Use the 68-95-99.7 rule to determi
vodomira [7]

• We are told that the average height : Mean () = 65

,

• Standard deviation : SD () = 2.2

• 95 % 0f women height range = +- 3

= 65 +-3( 2.2)

= {65 + 6.6 ; 65 -6.6}

= {71.6 ; 58.4}

• This means that 95 % 0f women height will range between ( 58.4 ) and (71.6 )

3 0
1 year ago
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