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tia_tia [17]
3 years ago
11

Fiona wrote out the description of each step for her multiplication of the binomial and trinomial (2x – 3)(5x2 – 2x + 7)

Mathematics
2 answers:
Alekssandra [29.7K]3 years ago
8 0

Answer:

See below:

Step-by-step explanation:

2x times 5x^2 = 10x^3

2x times -2x = -4x^2

2x times 7 = 14x

-3 times 5x^2 = -15x^2

-3 times -2x = 6x

-3 times 7 = -21

VashaNatasha [74]3 years ago
6 0
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Find the value of x in the isoscleles triangle sqrt45 and altitude 3​
Alisiya [41]

Answer:

c.\hspace{3}x=12

Step-by-step explanation:

Isosceles triangles are a type of triangles in which two of their sides have an identical length. It should be noted that the angles opposite the sides that are the same length are also the same. This means that these triangles not only have two equal sides, but also two equal angles.

You can solve this problem using different methods, I will use pythagorean theorem. First take a look at the picture I attached.  As you can see:

x=2a

And we can find a easily using pythagorean theorem:

(\sqrt{45} )^{2} =3^{2} +a^{2}

Solving for a:

a^{2} =(\sqrt{45} )^{2} -3^{2} \\\\a^{2} =45-9\\\\

a^{2} =36\\\\a=\sqrt{36} \\\\a=6

Therefore:

x=2a\\\\x=2(6)\\\\x=12

8 0
4 years ago
Harry bought a package of blueberries to put in his muffins.tha package he bought had 64 blueberries inside. he plans on making
Rom4ik [11]

Answer:

38

Step-by-step explanation:

He will need 38 because,

17 muffins x 6 blueberries = 102 blueberries

he already has 64, so to find the remaining amount he needs

102 blueberries - 64 blueberries = 38 blueberries

8 0
3 years ago
An angelfish was 1 1/2 inches long when it was bought. Now it is 2 1/3 inches long.
____ [38]

A)

Earlier, The length of the angelfish  = 1 \frac{1}{2} inches

Now, the length of angelfish = 2 \frac{1}{3} inches

We have to determine the grown length of angelfish

=  2 \frac{1}{3} -  1 \frac{1}{2}

= \frac{7}{3}- \frac{3}{2}

LCM of '2' and '3' is '6',

= \frac{14-9}{6}

= \frac{5}{6} inch

Therefore, the angelfish has grown by \frac{5}{6} inch.

B)

We have to determine the increased length of angelfish in feet.

Since 1 inch = \frac{1}{12} foot

So, \frac{5}{6} inch = \frac{5}{6} \times \frac{1}{12} = \frac{5}{72}

= 0.069 foot.

7 0
3 years ago
Read 2 more answers
P( x) =x^3-6x^2-5x-14 What is the remainder R when the polynomial p(x) is divided by (x-7)
Igoryamba

Answer:

The remainder is zero

Step-by-step explanation:

To find the remainder we will use the long division

\frac{x^{3}-6x^{2}-5x-14}{x-7}=x^{2}\frac{x^{2}-5x-14 }{x-7}⇒(1)

\frac{x^{2}-5x-14}{x-7}=x\frac{2x-14}{x-7}⇒(2)

\frac{2x-14}{x-7}=2⇒(3)

From (1) , (2) and (3)

The quotient of the long division is x^{2}+x+2 and no remainder

So the remainder is zero

* If you want to check your answer Multiply the quotient by the divisor

(x^{2}+x+2)(x-7)=x^{3}-6x^{2}-5x-14

8 0
3 years ago
Bob spends $650 for a gym membership plus $75 for each hour with a personal trainer. Is the description linear or exponential?
grigory [225]

Answer:

y = 75x + 650

So I think it's linear.

5 0
2 years ago
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