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Butoxors [25]
3 years ago
7

The lines represented by the equations 12y – 8x = -72 and y = 2/3 x – 3

Mathematics
2 answers:
klasskru [66]3 years ago
5 0

Answer:

They are parallel

Step-by-step explanation:

Same slope but different y-intercept

drek231 [11]3 years ago
4 0

Answer: It is parallel.

Step-by-step explanation: Both equations have the same slope but different y-intercepts, the -3 and -6 in the picture.

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Use the graph to find the
Dmitry [639]
The y intercept is 2, because that is the value of y when it crosses the y axis.

Since the line is pointing down, it has a negative slope, and since the y value goes down 2 for every 3 x values, the slope is -2/3. You should always right the slope in rise/run form, or change in y/change in x.

Finally, write the equation in the form of y=mx+b, where m is the slope and b is the y intercept. This means the equation of the line is y=-2/3x+2.
7 0
2 years ago
How many times does 96 go into 195
Anna007 [38]
You can also do the division with remainders to find the answer:

195 ÷ 96 = 2,041666666666667

So you can clearly see that there are more than two but less than three 96s in 195. So multiply 96 by 2 and then substract the result from 195 to find the remainder:

96 * 2 = 192
195 - 192 = 3

It means that in 195 there will fit two 96s with a remainder of 3.

We can also write it as two 96s and 3/96, what can be further simplified to two 96s and 1/32.
6 0
3 years ago
Helppppppp! Find the length of PQ if PQR is an isosceles triangle with PQ ≈ QR.​
KATRIN_1 [288]

Answer:

43

Step-by-step explanation:

3x + 10 = 5x - 12

       10 = 2x - 12

      22 = 2x

        x = 11

check:

33 + 10 = 55 - 12

43 = 43

correct

x = 11 so bring this into 3x + 10

we get 43

5 0
3 years ago
Guide<br> What are the zeros of the function f, where f(x) = 6x2 - 9x – 6?
dolphi86 [110]

Answer:

Step-by-step explanation:

Use the Pythagorean Theorem to find the zeros of 6x² - 9x - 6.

x = [9±√(9²-4(6)(-6))]/[2(6)] = [9±√225]/12 = [9±15]/12 = 2, -½

7 0
3 years ago
Read 2 more answers
Artie's dad's house is 21 ft tall. If Artie's dad is at the top of the house installing shingles, and his son Artie is on the gr
konstantin123 [22]

Answer:

B. 60.26°

Step-by-step explanation:

Given:

Consider the diagram representing the above scenario.

The top of the house where dad is standing is at A. The point where his son is standing is B. The bottom of the house is at C. AC is the height of house, BC is the distance between the house and son.

Height of the house (AC) = 21 ft

Distance between the house and son (BC) = 12 ft

Let the angle of depression for the dad be 'x'.

From the figure, it is clear that,

Angle of depression of the dad will be same as angle of elevation of Artie.

For triangle ABC,

\tan x=\frac{AC}{BC}\\\\\tan x=\frac{21\ ft}{12\ ft}\\\\\tan x=1.75\\\\x=\tan^{-1}(1.75)\\\\x=60.26

Therefore, the angle of depression  from the top of the house to the spot where Artie is standing is 60.26°.

Therefore, the correct option is option (B).

6 0
3 years ago
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