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Georgia [21]
3 years ago
13

What is 3.6 in simplest form as a fraction

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
3 0
The answer is 3 3/5.

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Liz polishes rings for a jeweler. She can polish 9 rings per hour. How many rhours will it take her to polish 315 rings?
Annette [7]
315 divided by 9 = 35 hours
3 0
3 years ago
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What is the y-intercept Of the function Represented by the table of values belowX -2 1 2 4 7 y 15 6 3 -3 -12
Kipish [7]

Given:

The table of values.

To find:

The y-intercept of the given function.

Solution:

The table of values represents a linear function because the rate of change is constant.

Consider any two points from the given table. Let the two points are (-2,15) and (1,6). Then the equation of the linear function is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

y-15=\dfrac{6-15}{1-(-2)}(x-(-2))

y-15=\dfrac{-9}{1+2}(x+2)

y-15=\dfrac{-9}{3}(x+2)

y-15=-3(x+2)

Adding 15 on both sides, we get

y=-3x-6+15

y=-3x+9

Putting x=0, we get

y=-3(0)+9

y=0+9

y=9

The y-intercept is 9. Therefore, the correct option is C.

8 0
3 years ago
Read 2 more answers
Write the equation of a line that is
prisoha [69]

Answer:

y=3/2

Step-by-step explanation:

This line's slope is perpendicular to -2/3 and its y intercept is 0.

4 0
2 years ago
Find the axis of symmetry of 2x^2 + 12x + 16 Show your work
raketka [301]

The vertex form:

y=a(x-h)^2+k\\\\(h,\ k)-vertex

The axis of symetry is x = h.

y=ax^2+bx+c\to h=\dfrac{-b}{2a}

We have

y=2x^2+12x+16\to a=2,\ b=12,\ c=16

Substitute:

h=\dfrac{-12}{(2)(2)}=\dfrac{-12}{4}=-3

<h3>Answer: x = -3</h3>
6 0
3 years ago
Triangle ABC is an isosceles right triangle inscribed in a circle. The center of the circle is point D and the diameter of the c
Paha777 [63]

Answer:

* AD is congruent to DC and BD <em>true</em>

* m∠B = 90° <em>true</em>

<u>* The measure of arc AC is equal to the measure of arc AB </u><u><em>not be true</em></u><em> ( The right answer  )</em>

* The measure of arc AB is equal to measure of arc BC <em>true</em>

Step-by-step explanation:

∵ D is the center of the circle and A , B and C are points on the circle

∴ AD , DB and DC are radii on the circle D

∴ AD ≡ DC ≡ DB

∵ AC passing through point D which is the center of the circle

∴ AC is the diameter of the circle D

∵ ∠B is opposite to the diameter of the circle and vertex B lies on the circle

∵ ∠B is an inscribed angle and  ∠ADC  is a central angle subtended by the same arc AC

∴m∠B = half m∠ADC

∵ m∠ADC = 180°

∴ m∠B = 90°

∵ The measure of arc AC = 180°

∵ ΔABC is isosceles and m∠B = 90°

∴ m∠BAC = m∠BCA = (180° - 90°) ÷ 2 = 45°

∵ ∠ACB is an inscribed angle subtended by arc AB

∴ m∠ACB = half measure of arc AB

∵ The measure of arc AB = 45° × 2 = 90°

∴ The measure of arc AC ≠ the measure of arc AB

∵ Δ ABC is an isosceles triangle and m∠B = 90°

∴ AB = BC

∵ AB subtended by arc AB

∵ BC subtended by arc BC

∴ The length of arc AB = the length of arc BC

∵ If two arcs are equal in length, then they will be equal in measure

∴ The measure of arc AB is equal to the measure of arc BC

3 0
3 years ago
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