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Mumz [18]
2 years ago
8

Hamdan says that when you add fractions with the same denominator, you can add the numerators and keep the same denominator. Is

Hamdan correct?
Mathematics
1 answer:
Elina [12.6K]2 years ago
6 0

Answer:

Yes, Hamdan is correct.

Step-by-step explanation:

Let the two fractions are q/r and s/r.

Here, the denominator is same for both the fractions.

So, as we add them, add the numerators and the denominators remains same.

\frac{q}{r}+\frac{s}{r}\\\\=\frac{q + s}{r}

For example

\frac{3}{5}+\frac{4}{5}\\\\=\frac{3 + 4}{5}\\\\=\frac{7}{5}

So, Hamdan is correct.

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Use the distance formula distance, to find the distance to the nearest tenth , between each pair of points A(6,2) and D(-3,-2)
marusya05 [52]

Answer:

The distance between A and D to the nearest tenth is;

9.8\text{ units}

Explanation:

Given the two points;

A(6,2)\text{ and D(-3,-2)}

Applying the distance between two points formula;

d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}

substituting the given coordinates we have;

\begin{gathered} AD=\sqrt[]{(-3-6)^2+(-2-2)^2} \\ AD=\sqrt[]{(-9)^2+(-4)^2} \\ AD=\sqrt[]{81+16} \\ AD=\sqrt[]{97} \end{gathered}

Simplifying;

\begin{gathered} AD=9.8488578 \\ AD\approx9.8 \end{gathered}

Therefore, the distance between A and D to the nearest tenth is;

9.8\text{ units}

4 0
1 year ago
How many triangles will there be in the 7th term of the following sequence?
nikitadnepr [17]
The answer is number 3.
4 0
2 years ago
F(x)=−x+5, find f(-3)f(−3).
Rudiy27

Answer:

f(-3)= - (-3)+5= +3 +5 = 8

7 0
2 years ago
For the following question, use the equation d = rt, in which d is distance, r is rate, and t is time. How far is Grandmother's
Sergeeva-Olga [200]
You first have to plug in your given numbers to the equation.
d= rt
d=(52)4.5
Then you solve
52*4.5 = 234
So, your distance or d=234
5 0
3 years ago
For f(x) = -4x -9 evaluate for f(6.5)​
kolezko [41]

Answer:

f=−35

Step-by-step explanation:

<em>1.Simplify  4×6.5 to 26</em>

f=-26-9

<em>2. Simplify  -26-9 to  -35</em>

f=-35

7 0
2 years ago
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