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aleksandrvk [35]

3 years ago

11

After simplifying, which expressions are equivalent? Select three options. (3.42 – 1.75) + (235a – 3.95) (2.5a + 1.65) + (3.4a +

4b) 0 (-3.9b + a) + (-1.7b + 4.9a) 0 -0.4b + (6b - 5.9a) O 5.9a - 5.6b

1 answer:

poizon [28]3 years ago

3 0

9514 1404 393

Answer:

C, D, E

Step-by-step explanation:

Collect terms. The last three options are all equivalent to ...

5.9a - 5.6b

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Help please ASAP thank you

jonny [76]

<u>Question 1</u>

If we let $FE=x$ , then $DE=x-5$ .

Also, as $\overline{DF}$ bisects $\overline{BC}$ , this means $BE=EC=6$ .

Thus, by the intersecting chords theorem,

$6(6)=x(x-5)\\\\36=x^2 - 5x\\\\x^2 - 5x-36=0\\\\(x-9)(x+4)=0\\\\x=-4, 9$

However, as distance must be positive, we only consider the positive case, meaning FE=9

<u>Question 2</u>

If we let CE=x, then because AB bisects CD, CE=ED=x.

We also know that since FB=17, the radius of the circle is 17. So, this means that the diameter is 34, and as AE=2, thus means EB=32.

By the intersecting chords theorem,

$2(32)=x^2\\\\64=x^2\\\\x=-8, 8$

However, as distance must be positive, we only consider the positive case, meaning CE=8

4 0

2 years ago

-3[1+2(4+5)]<br> PLease answer ASAP!!!

vaieri [72.5K]

Answer:

-57

Step-by-step explanation:

<h2><u>Use BOMAS</u></h2>

B- brackets

O- of

M- multiplication

A- addition

S - subtraction

-3[1+2(4+5)]

first solve what is in the brackets

(4+5) = 9

place 9 in the brackets

-3[1+2(9)]

now multiply the 2 and 9

2*9 = 18

-3[1+18)]

1+ 18 = 19

now multiply the (-3) with 19

= <u>-57</u>

4 0

3 years ago

Read 2 more answers

Need answer asap.thanks

Marrrta [24]

Answer:

$0.46=\frac{23}{50}$

Step-by-step explanation:

To write any decimal as a fraction you divide by 1 and multiply by a number (ranging from 10, 100, 1000 etc.) that will make 0.46 a whole number, this will explain:

Let x = $\frac{0.46}{1}$

10x = $10*\frac{0.46}{1} =\frac{4.6}{10}$

100x = $100*\frac{0.46}{1}=\frac{46}{100}$ this is our perfect fraction, now we simplify later

100x - 10x = $\frac{46}{100} -\frac{4.6}{10}$

90x = $\frac{46}{100} -\frac{4.6}{10} =0$ this is to confirm both fractions are equal

x is the same as $\frac{0.46}{1}$ as $\frac{4.6}{10}$ as $\frac{46}{100}$ but here x = $\frac{46}{100}$ because a fraction has to have no decimals.

So 0.46 is equal any of these values, as a fraction, on the other hand, it's improperly equal to $\frac{46}{100} = \frac{23}{50}$ here I divided by 2 to bring down the proper fraction. (fraction at its simplest form)

6 0

3 years ago

What is the area cause I am having a hard trouble

fomenos

The figure consists of a triangle and two rectangles.

-----------------------------
Top Triangle:
-----------------------------
Height = 22 - 10 - 7 = 5cm
Base = 20 - 5 - 5 - 10cm
Area of triangle = 1/2 x 5 x 10 = 25 cm²

-----------------------------
Middle Rectangle:
-----------------------------
Length = 10cm
Width = 7cm
Area = 10 x 7 = 70 cm²

-----------------------------
Bottom Rectangle:
-----------------------------
Length = 20 cm
Width = 10 cm
Area = 20 x 10 = 200 cm²

-----------------------------
Total Area:
-----------------------------
Area = 25 + 70 + 200 = 295 cm²

-----------------------------
Answer: Area = 295 cm²
-----------------------------

6 0

3 years ago

A rectangle has length 3 feet and width 1/4 foot. What is the area of the rectangle?

Lera25 [3.4K]

$Area=width*length\\\\length=3ft\\width=\frac{1}{4}ft\\\\ Area=3*\frac{1}{4}=\frac{3}{4}ft^2\\\\Area\ of\ rectangle\ is\ equal\ to\ \frac{3}{4}ft^2.$

5 0

3 years ago