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Tresset [83]
3 years ago
6

Which inequality best represents the situation? A pine tree grows at a rate of 1.5 feet per year. James plants a 2-foot tall pin

e tree in his yard. How many years will it take for the tree to be at least 14 feet tall? A. 2x + 1.5 ≥ 14 B. 2x – 1.5 ≤ 14 C. 1.5x + 2 ≥ 14 D. 1.5x – 2 ≤ 14
Mathematics
2 answers:
Aloiza [94]3 years ago
5 0
The answer is C. because 1.5 is the height while x is next to it to show the multiplication of years to height
Lelu [443]3 years ago
3 0

 it grows 1.5 feet per year so multiply that by number of years (x)

1.5x

 it started at 2 feet tall

 so you would have 1.5x +2 ≥14

 Answer is C. 1.5x + 2 ≥ 14

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Need help if anything can show me how to do it in steps !
Elanso [62]

Answer:

x=59/5 or x=11.8 depends on which one you want to do both are true

Step-by-step explanation:

Start with what you are given

angle 4= 5x+6 and angle 3=65 because lines m and n are both parallel angle4=angle3 in other words 5x+6=65

what you want to do is get x by itself.

1. Subtract 6 from both sides

5x+6-6=65-6

5x=59

2. Divide both sides by 5

5x/5=59/5

x=59/5

3. Check to see if you can simplify the fraction and if you teacher wants it in decimals or exact fraction.

x=59/5 or x=11.8 they are the same just ones a decimal the other is left as a fraction

6 0
3 years ago
In Exercises 10 and 11, points B and D are points of tangency. Find the value(s) of x.<br>​
Lemur [1.5K]

In both cases,

AB^2=AD^2

(as a consequence of the interesecting secant-tangent theorem)

So we have

10.

(4x+7)^2=(6x-3)^2

16x^2+56x+49=36x^2-36x+9

20x^2-92x-40=0

5x^2-23x-10=0

(5x+2)(x-5)=0\implies\boxed{x=5}

(omit the negative solution because that would make at least one of AB or AD have negative length)

11.

(4x^2-18x-10)^2=(x^2+x+4)^2

16x^4-144x^3+244x^2+360x+100=x^4+2x^3+9x^2+8x+16

15x^4-146x^3+235x^2+352x+84=0

(x-7)(3x+2)(5x^2-17x-6)=0\implies\boxed{x=-\dfrac23\text{ or }x=7}

(again, omit the solutions that would give a negative length for either AB or AD)

7 0
3 years ago
A line includes the points (-3, 8)and (-1, 2). What is its equation in slope- intercept form
Natasha_Volkova [10]
Solve for slope first:
m = \frac{y2 - y1}{x2 - x1}

m = \frac{2-8}{-1-(-3)} = -3

then solve for b in y = mx + b

8 = -3(-3) + b
b = -1

y = -3x - 1
5 0
3 years ago
PLEASE SHOW WORK OR EXPLAIN
timofeeve [1]

Answer:

<h3>20.6 ft</h3>

Step-by-step explanation:

You must use the trigonometric function.

In this case, it will be tangent.

tangent=\dfrac{opposite}{adjacent}

We have

\theta=38^o,\ opposite=r,\ adjacent=20

\tan38^\approx0.7813

Substitute:

\tan38^o=\dfrac{r}{20}

\dfrac{r}{20}=0.7813              <em>multiply both sides by 20</em>

r=15.626

Tree height is r + 5.

Therefore

r+5=15.626+5=20.626\approx20.6\ ft

7 0
3 years ago
Trigonometry
ludmilkaskok [199]

Answer:

⅘ or 0.8

Step-by-step explanation:

Hypotenuse² = 3² + 4²

Hypotenuse = 5

Sin(θ) = 4/5

5 0
3 years ago
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