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3 years ago

What are the prime factors of 700A. 2×2×5×5×7B. 350×2C. 2×2×2×5×7D. 2×2×25×7

Mathematics

1 answer:

Fudgin [204]3 years ago

8 0

The correct answer is A
2×2×5×5×5×7
4 × 25 × 7
700

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Which of the following equations describe the line shown below? Check all that apply.

WITCHER [35]

Here, first we need to calculate the slope of the line,
Here, Coordinates = (-6, 2) (-1, -4)
m = y2 - y1 / x2-x1
m = 2 + 4 / -6 + 1
m = 6/-5
m = -6/5

Now, Take first coordinate: y - 2 = -6/5 (x + 6)
Second coordinate: y + 4 = -6/5 (x + 1)

In short, Your Answers would be Option C & D

Hope this helps!

6 0

3 years ago

Point A is the midpoint of side XZ and point B is the

Katyanochek1 [597]

Answer:

Option (2)

Step-by-step explanation:

Given question is incomplete; here is the complete question.

Point A is the midpoint of side XZ and point B is the midpoint of side YZ.

Triangle XYZ is cut by line segment AB. Point A is the midpoint of side XZ and point B is the midpoint of side YZ. The length of XY is (5x - 7), the length of AB is (x + 1), and the lengths of XA and ZA are (2x - 2). The lengths of YB and BZ are congruent.

What is AX ?

2 units

4 units

6 units

8 units

From the figure attached,

XYZ is a triangle having A and B as the midpoints of the sides XZ and YZ.

By the theorem of midpoints,

AB = $\frac{1}{2}\text{(XY)}$

Since AB = (x + 1) and XY = (5x - 7)

(x + 1) = $\frac{1}{2}(5x-7)$

2x + 2 = 5x - 7

5x - 2x = 2 + 7

3x = 9

x = 3

Therefore, side AB = 3 + 1 = 4 units

Side XY = (5x - 7)

= 15 - 7

= 8 units

Side XA = 2(x - 1)

= 4 units

Therefore, Option (2) will be the answer.

6 0

3 years ago

Given f(x)=1/x+5 and g(x)=x-2

vladimir1956 [14]

For this case we have the following functions:

$f (x) = \frac {1} {x + 5}\\g (x) = x-2$

We must find f (g (x)). So:

$f (g (x)) = \frac {1} {(x-2) +5} = \frac {1} {x-2 + 5} = \frac {1} {x + 3}$

Finally we have to:

$f (g (x)) = \frac {1} {x + 3}$

For the function to be defined the denominator must be different from 0. That is x different from -3.

Answer:

Option B

3 0

3 years ago

A train is going at 200/KM per hour

olya-2409 [2.1K]

Answer:

It moved for 152.7 seconds

Step-by-step explanation:

Time taken/ period, T :

${ \sf{T = \frac{distance}{speed} }}$

substitute the variables:

${ \sf{T = \frac{8482}{(200 \times 1000)} }} \\ \\ { \sf{T =0.042 \: hours }}$

In seconds:

${ \sf{T = (0.042 \times 3600) \: s}} \\ { \sf{T = 152.7 \: seconds}}$

6 0

3 years ago

Read 2 more answers

Prove the identity (sina-cosatanb)/(cosa+sinatanb) = tan (a+b)

OLga [1]

Sina - (cosa)(tanb)/cosa + (sina)(tanb)
sina ≡ (tana)(cosa)

(tana)(cosa) - (cosa)(tanb)/cosa + (tana)(cosa)(tanb)
= cosa(tana - tanb)/cosa(1 + tanatanb)
(cosas cancel out)
= (tana - tanb)/(1 + tanatanb) ≡ tan(a-b)

7 0

3 years ago