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marshall27 [118]
3 years ago
8

-10.9p + 3.9 = -9.18

Mathematics
1 answer:
Debora [2.8K]3 years ago
5 0

Steps to solve:

-10.9p + 3.9 = -9.18

~Subtract 3.9 to both sides

-10.9p =  -13.08

~Divide -10/9 to both sides

p = 13.08/10.9

p = 1 1/5

Best of Luck!

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Enter a recursive rule for the geometric sequence. 10, −80, 640, −5120, ...<br><br> a(1)=<br> a(n)=
Liula [17]
The recursive formula would be:
a_1=10&#10;\\a_{n}=a_{n-1} \times (-8)

This is because the first term, a₁, is 10.  A recursive rule is dependent upon the term before it (a(n-1)) and the common ratio.  The common ratio, or the number that each term is multiplied by, is -8.
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1. Do you the following side lengths form a right triangle?2. Which measurement is closest to the value of X in centimeters?
koban [17]

Answer:

Part 1:

Yes, the side lengths form a right triangle.

Part 2:

Option d 37.1 cm

Explanation:

We need to use the pythagorean theorem.

In part 1, if the 3 side lengths are a right triangle, then, they must verify:

7.5^2=4.5^2+6^2

By the theorem. Then:

\begin{gathered} 7.5^2=56.25 \\ 4.5^2+6^2=20.25+36=56.25 \end{gathered}

They're equal, then the lengths correspond to a right triangle.

For part 2, we need to use again the theorem. In this case:

\begin{gathered} 12^2+x^2=39^2 \\ x=\sqrt{1521-144} \\ x=\sqrt{1377} \\ x\approx37.1cm \end{gathered}

6 0
1 year ago
Beau buys a 3-pound bag of trail mix for a hike. He wants to make one-ounce bags for his friends with whom he is hiking. How man
zavuch27 [327]
1 pound=16 ounches
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7 0
2 years ago
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You are given a line that has a slope of 4 and passed through the point (3/8, 1/2). Which statements about the question of the l
alexgriva [62]

Answer:

Statement 1, 2 and 4 are true where as statement 3 is not true.

Step-by-step explanation:

<u>Statement 1: The y-intercept is -1</u>

<em>Point (3/8, 1/2)</em>

<em>Slope = m = 4</em>

<em>y = mx + c</em>

<em>1/2 = 4(3/8) + c</em>

<em>1/2 = 3/2 + c</em>

<em>1/2 = 3/2 + 2c/2</em>

<em>-2 = 2c</em>

<em>c = -1 </em>

This statement is true as the y-intercept is -1.

<u>Statement 2: The slope intercept equation is y= 4x - 1</u>

<em>slope = m = 4</em>

<em>y-intercept = c = -1</em>

<em>y = mx + c</em>

<em>y = 4x - 1</em>

This statement is true as the slope intercept equation is y= 4x -1

<u>Statement 3: The point slope equation is y - 3/8 = 4 (x - 1/2)</u>

<em>Point slope equation: y - y1 = m (x - x1)</em>

<em>Points: (x, y) (3/8, 1/2)</em>

<em>y1 = 1/2</em>

<em>x1 = 3/8</em>

<em>Slope = m = 4</em>

<em>y - 1/2 = 4 (x - 3/8)</em>

This statement is not true as the slope intercept equation is y - 1/2 = 4 (x - 3/8) instead of y - 3/8 = 4 (x - 1/2).

<u>Statement 4: The point (3/8, 1/2) corresponds to (x1, y1) in the point slope form of the equation</u>

This statement is true as shown in statement 3's explanation where x1 = 3/8 and y1 = 1/2

!!

6 0
3 years ago
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For this case we have to:

Given the quadratic equation of the form:

ax ^ 2 + bx + c = 0

The roots are given by:

x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}

If we have: x ^ 2 + 14x + 17 = -96

We can rewrite it in the following way:

x ^ 2 + 14x + 17 + 96 = 0\\x ^ 2 + 14x + 113 = 0

Where:

a = 1\\b = 14\\c = 113

Where we have:

x = \frac {-14 \pm \sqrt {(14) ^ 2-4 (1) (113)}} {2 (1)}

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x = \frac {-14 \pm \sqrt {256} i} {2}

x = \frac {-14 \pm16i} {2}

x = \frac {-14} {2} \pm \frac {16i} {2}

x = -7 \pm8i

Thus, the roots are given by imaginary numbers:

x_ {1} = - 7 + 8i\\x_ {2} = - 7-8i

Answer:

x_ {1} = - 7 + 8i\\x_ {2} = - 7-8i


5 0
3 years ago
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