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netineya [11]
3 years ago
11

6) R E 126 10x + 8 13 + 5x D A) 1 C) 5 B) 7 D) 14

Mathematics
1 answer:
Gemiola [76]3 years ago
3 0

Step-by-step explanation:

step 1. what is the question? maybe the question is what is the value of x in the diagram. okay.

step 2. interior angles of a triangle add up to 180°

step 3. the 3 angles inside the triangle are 10x + 8, 13 + 5x, and (180 - 126)

step 4. (10x + 8) + (13 + 5x) + 54 = 180

step 5. 15x + 21 = 126

step 6. 15x = 105

step 7. x = 7.

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4vir4ik [10]

Question is not complete and so I have attached the complete question.

Answer:

C: f(x) = -½x + 4

Step-by-step explanation:

Using slope formula between 2 points, we know that;

slope; m = (y2 - y1)/(x2 - x1)

Let's consider 2 points from the table;

(0, 4) and (-4, 6)

Thus;

m = (6 - 4)/(-4 - 0)

m = 2/-4

m = -½

Now using slope intercept form equation which is y - y1 = m(x - x1), we can find the equation of the function by picking on point say (0, 4).

Thus;

y - 4 = -½(x - 0)

y - 4 = -½x

y = -½x + 4

Thus;

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8 0
3 years ago
A particle moves along the x-axis so that at time t≥0t\ge 0t≥0 its position is given by x(t)=−t3+6t2−9t+42.x(t)=-t^3+6t^2-9t+42.
riadik2000 [5.3K]

Answer: 4 units

Step-by-step explanation:

The given position function: x(t)=-t^3+6t^2-9t+42., where t≥0.

To determine:  Total distance traveled by the particle from 0≤ t ≤ 4.0.

At t=0,

x(0)=-(0)^3+6(0)^2-9(0)+42=42\\

At, t=4,

x(4)=-(4)^3+6(4)^2-9(4)+42\\\\=-64+6(16)-36+42=38

Total distance traveled by the particle from 0≤ t ≤ 4.0 = |42-38| units

= 4 units

Hence, the distance traveled by the particle from 0≤t≤4.0 is 4 units.

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False

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I believe that it's right

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