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gregori [183]
3 years ago
12

A number line is shown. Which expression represents the distance between two points, X and Y, on the number line?

Mathematics
1 answer:
IrinaK [193]3 years ago
4 0

Answer: C. |-4 - 3|

<u>Step-by-step explanation:</u>

x = -4

y = 3

The distance between them is the difference. The mathematical operation for difference is subtraction.

Distance is a unit of measurement. Measurements cannot be negative so the absolute value sign is used to ensure the difference is positive.

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What is the value of x in the equation 4x+8y=40 when y = 0.8
fgiga [73]

When y=0.8

4x +8(0.8) =40

-> 4x +6.4 =40

-> 4x = 33.4

-> x=33.4/4

-> x=8.35

Hope it helps...

Regards;

Leukonov/Olegion.

8 0
3 years ago
What do I put? I am having so much trouble with this.
jek_recluse [69]
12. \frac{3}{4} ,  \frac{9}{12}

13. \frac{4}{10} ,  \frac{4}{100}

16. \frac{3}{9} is already in simplest form.
8 0
3 years ago
What is the sixth number in the Fibonacci sequence with the first two numbers 1 and 4?
Vanyuwa [196]

Answer:

23

Step-by-step explanation:

1 + 4 = 5 so we get 1 4 5

then 4+5 = 9, 1 4 5 9

5+9 = 14, 1 4 5 9 14

9+14 = 23, so

1 4 5 9 14 23

23 is the 6th number in this sequence

8 0
3 years ago
HELP FAST GIVE A DECENT AMOUNT OF POINTS! FOR EASY!
laila [671]

Answer:

The value of angle is 56.9°

Step-by-step explanation:

First, you have to find the length of hypotenuse using Pythagoras' Theorem, c² = a² + b² :

{c}^{2}  =  {a}^{2}  +  {b}^{2}

let \: a = 8.25 \\ let \: b = 6.45

{c}^{2}  =  {8.25}^{2}  +  {6.45}^{2}

{c}^{2}  = 68.0625 + 41.6025

{c}^{2}  = 109.665

c =  \sqrt{109.665}

c = 10.47cm \: (4s.f)

In order to find θ, you have to apply Sine Rule :

\sin(θ)  =  \frac{opposite}{adjacent}

let \: oppo. = 8.77 \\ let \: hypo. = 10.47

\sin(θ)  =  \frac{8.77}{10.47}

θ =  { \sin( \frac{8.77}{10.47} ) }^{ - 1}

θ = 56.9 \: (1d.p)

4 0
3 years ago
the mantle layer of earth begins about 70 kilometers underneath the surface. The layer called the outer core begins about 2970 k
gavmur [86]
Given:
<span>mantle layer of earth begins about 70 kilometers underneath the surface
</span><span>outer core begins about 2970 kilometers underneath the surface

Since we need to find the position of each layer </span><span>relative to the surface, the surface will serve as the point of origin or 0. Below the surface infers a negative value. So, Mantle layer is -70 km from the surface while outer core is -2970 km under the surface.

Comparing -70 and -2970, -70 has a greater value than -2970. The nearer the number is to the origin or 0, the higher its value.

Comparing the absolute greater value of -70 and -2970, -2970 has a greater absolute value. This is because absolute value is the positive value of the number. Absolute value of -70 is 70 while absolute value of -2970 is 2970. Thus, -2970 has a greater absolute value. </span>
6 0
3 years ago
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