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3 years ago

Write the decimal equivalent of a fraction that falls between 4/7 and 5/7 on the number line

Mathematics

1 answer:

Blizzard [7]3 years ago

3 0

Answer:

Step-by-step explanation:

Each fraction has a equivalent decimal:

$\frac{4}{7} = 0.57\\\frac{5}{7} = 0.71\\$

So, as you can see, a decimal number between these fraction, could be 0.6, which is equivalent to the fraction $\frac{3}{5}$

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Find the value of k if the distance between (2,k) and (6,7) is 4√2 unit

andreyandreev [35.5K]

Answer:

k = 3

Step-by-step explanation:

We have the distance formula: $d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$ . We can plug in $4\sqrt{2}$ = d, x2 = 6, x1=2, y2 = 7, y1 = k.

Then, we can solve the question using some algebra to find that k = 3.

Edit: Here is a step by step:

$4\sqrt{2} = \sqrt{(6-2)^2 + (7-k)^2}\\$

$(4\sqrt{2})^2 = (6-2)^2 + (7-k)^2$

$32 = (4)^2 + (7-k)^2$

$32 = 16 + (7-k)^2$

$32 - 16 = (7-k)^2$

$16 = (7-k)^2$

$\sqrt{16} = (7-k)$

$4 = 7-k$

$k = 3$

4 0

3 years ago

The equation of a best fit line is y = 6x + 9. Predict a value for y when x = 4. Type your answer in the space provided. Do not

MrMuchimi

Answer:

$y=33$

Step-by-step explanation:

we have

$y = 6x + 9$

Remember that

To predict a value for y, when x = 4

substitute the value of x in the equation

$y= 6(4) + 9=24+9=33$

6 0

3 years ago

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Which ordered pair describes a point that is located 1 unit to the left of the origin and 3 units above the x-axis?

goldfiish [28.3K]

Answer:

Cartesian plane

Step-by-step explanation:

(–1 , 3)

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3 years ago

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Find the coordinates of the intersection of the diagonals of parallelogram QRST with vertices Q(−8, 1), R(2, 1), S(4,−3), and T(

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Answer:

(-2,1)

Step-by-step explanation:

6 0

3 years ago

Can someone please explain to me how to do this.

JulijaS [17]

Y = x² - 4x + 4
y = 2x - 4

Find intersection of L and C:
x² - 4x + 4 = 2x - 4
x² - 6x + 8 = 0
<span> (x - 2)(x - 4) = 0
x = 2 or x = 4

When x = 2 , y = 2(2) - 4 = 0
When x = 4, y = 2(4) - 4 = 4

Points of intersection = A(2, 0) and B(4, 4)

Find the length of AB:

</span> $
\text {Length of AB}= \sqrt{(4-0)^2 + (4-2)^2} = \sqrt{16 + 4} = \sqrt{20} = 4.47 \text{ units}$
<span>
Answer: 4.47 units

</span>

4 0

3 years ago