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LUCKY_DIMON [66]
3 years ago
7

3(4x+1)+6(x-3)I need help with this

Mathematics
2 answers:
SVETLANKA909090 [29]3 years ago
8 0
If you simplify the expression you will get 18x - 15.
Anettt [7]3 years ago
4 0

1.) Using distributive property, you get 12x + 3 + 6x - 18. Combing like terms, your answer is:

18x - 15.

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find the gradient of the line joining (3,7) and (6,9). Hence, find the acute angle it makes with the positive x-y axis​
stiv31 [10]

Answer:

33.7 degrees

Step-by-step explanation:

As we go from (3,7) to (6,9), x increases by 3 and y increases by 2.  Thus, the gradient (slope) of the line connecting these two points is

m = rise / run = 2/3.  Using the slope-intercept formula y = mx + b, we obtain

7 = (2/3)(3) + b, or 7 = 2 + b, so we see that b = 5 and y = (2/3)x + 5.  The y-intercept is (0, 5).

Next we find the x-intercept.  We set y = (2/3)x + 5 = to 0 and solve for x:

(2/3)x = -5, or (3/2)(2/3)x = -5(3/2), or x = -15/2, so that the x-intercept is

(-15/2, 0).  This line intersects the x-axis at (-15/2, 0).

Now look at the segment of this line connecting (-15/2, 0) and (0, 5).  Here x increases by 15/2 and y increases by 5, and so the tangent of the acute angle in question is

tan Ф = 5 / (15/2) = 10 / 15 = 2/3.

Using the inverse tangent function, we get Ф = arctan 2/3, or approx.

33.7 degrees.

I believe you meant "the acute angle it makes with the positive x-axis."​

3 0
3 years ago
Solve the following equations by finding the value of x.
kozerog [31]
1.4 2.7 3. 12 4 6/7 5 8
4 0
3 years ago
A bottle is filled with 4oz of perfume. If 20% of the perfume evaporates, how many ounces remain?​
marusya05 [52]
0.8 oz.
4x0.20=0.8
I hope this helps
7 0
2 years ago
Read 2 more answers
What is the following sum in simplest form sqrt8+3sqrt2+sqrt32 please HURRY
iragen [17]

Answer:

9sqrt2.

Step-by-step explanation:

sqrt8 + 3sqrt2 + sqrt32

= sqrt4 * sqrt2 + 3 sqrt2 + sqrt16 * sqrt2

= 2sqrt2 + 3sqrt2 + 4 sqrt2

= 9 sqrt2.

3 0
3 years ago
Read 2 more answers
Just a few questions that I need help with.
zvonat [6]
For 1: I used a calcultor I first wanted see how many groups of 24 their are out of 200. So I put in 200 / 24 = 8.33333333  Then I wanted to see the total number of students that have a tablet so I multiplied that 8.33333333 by 6 and got =50. So 50 out of 200 students have an electronic tablet.

2: I just used a calculator: 2.25 * 5 = 11.25 kilometers
3 0
3 years ago
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