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liubo4ka [24]
3 years ago
13

2. Tabitha is 30 years old. This is 5 less than 7 times her son's age 2

Mathematics
1 answer:
Aliun [14]3 years ago
5 0

Answer:

true

Step-by-step explanation:

plz mark brainlyest

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21. For the following exercises, use the descriptions of each pair of lines given below to find the slopes of Line 1 and Line 2.
dybincka [34]

Answer:

The given lines are perpendicular.

Step-by-step explanation:

In the question, two lines are given as line 1 passes through (1,7) and (5,5). Whereas, line 2 passes through (-1,-3) and (1,1).

It is required to find the slope of given lines and figure out whether they are perpendicular, parallel or neither.

To solve this question, first find the slope of both lines. Check if their product is equal to -1, then they are perpendicular. If the slopes are equal the lines are parallel.

Step 1 of 2

Find the slope of first line.

$$\begin{aligned}m_{1} &=\frac{5-7}{5-1} \\m_{1} &=\frac{-2}{4} \\m_{1} &=-\frac{1}{2}\end{aligned}$$

Step 2 of 2

Find the slope of first line.

$$\begin{aligned}&m_{2}=\frac{1-(-3)}{1-(-1)} \\&m_{2}=\frac{4}{2} \\&m_{2}=2\end{aligned}$$

And

$$\begin{aligned}&m_{1} m_{2}=-\frac{1}{2}(2) \\&m_{1} m_{2}=-1\end{aligned}$$

Since, both slopes are reciprocal of each other.

Therefore, the lines are perpendicular.

6 0
2 years ago
Which expression is equivalent to the following complex fraction?
marta [7]

Answer:

  \dfrac{-4x+7}{2(x-2)}

Step-by-step explanation:

The first step is to combine the parts of the numerator and denominator into one rational expression each. Those will have the same denominator, so their ratio is the ratio of their numerators.

  \dfrac{\dfrac{3}{x-1}-4}{2-\dfrac{2}{x-1}}=\dfrac{\left(\dfrac{3-4(x-1)}{x-1}\right)}{\left(\dfrac{2(x-1)-2}{x-1}\right)}=\dfrac{3-4(x-1)}{2(x-1)-2}\\\\=\dfrac{3-4x+4}{2x-2-2}=\boxed{\dfrac{-4x+7}{2(x-2)}}

5 0
3 years ago
Read 2 more answers
How many kilometers?
Anettt [7]

Answer:

7.12 kilometers

Step-by-step explanation:

Add the amounts of kilometers to find the total :

3.8 kilometers + 3.32 kilometers = 7.12 kilometers

8 0
4 years ago
What is the LCM of 8 and 10
iragen [17]
40


8x5=40
10x4=40

Hope this helps
3 0
2 years ago
Find the measure of each interior angle. Round to the nearest hundredth.
Butoxors [25]

Answer:

x = 76.80°

4x - 142 = 165.18°

x/5 = 15.36°

5x/9 + 60 = 102.66°

Step-by-step explanation:

Total angle in a quadrilateral is 360

x + 4x - 142 + x/5 + (5/9)x + 60 = 360

259x/45 + - 82 = 360

259x/45 = 442

x = 76.7953668

x = 76.80°

4x - 142 = 165.18°

x/5 = 15.36°

5x/9 + 60 = 102.66°

8 0
4 years ago
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