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3 years ago

Find the slope of the line graphed below.

Mathematics

2 answers:

Phantasy [73]3 years ago

6 0

Answer:

Slope: -3/5

Step-by-step explanation:

skad [1K]3 years ago

6 0

Answer:

-3/5 would be the slope

Explanation

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Please answer 26 and 27 please thank you

ser-zykov [4K]

Answer:

Part 26) $3\frac{1}{4}\ in$

Part 27) $2\frac{2}{3}\ cups$

Step-by-step explanation:

Part 26)

we know that

The length of Alana's hair was 9 3/4 inches

After her haircut, the length was 6 1/2 inches

To find out how many inches did she have cut subtract 6 1/2 from 9 3/4

but first

Convert mixed number to an improper fraction

$9\frac{3}{4}\ in=\frac{9*4+3}{4}=\frac{39}{4}\ in$

$6\frac{1}{2}\ in=\frac{6*2+1}{2}=\frac{13}{2}\ in$

Find the difference

$\frac{39}{4}-\frac{13}{2}=\frac{39-26}{4}=\frac{13}{4}\ in$

Convert to mixed number

$\frac{13}{4}\ in=\frac{12}{4}+\frac{1}{4}=3\frac{1}{4}\ in$

Part 27)

we have that

Emeril used a total of 7 1/4 cups of flour to make three pastries

He used 2 1/4 cup of flour for the first and 2 1/3 cups of flour for the second

To find out how much cups of flour Emeril use for the third pastry, subtract the sum of the cups of flour used in the first and second pastry from the total cups of pastry used

Let

x ----> number of cups of flour used in the third pastry

$x=7\frac{1}{4}-(2\frac{1}{4} +2\frac{1}{3})$

but first

Convert mixed number to an improper fraction

$7\frac{1}{4}\ in=\frac{7*4+1}{4}=\frac{29}{4}\ cups$

$2\frac{1}{4}\ in=\frac{2*4+1}{4}=\frac{9}{4}\ cups$

$2\frac{1}{3}\ in=\frac{2*3+1}{3}=\frac{7}{3}\ cups$

substitute

$x=\frac{29}{4}-(\frac{9}{4} +\frac{7}{3})$

$x=\frac{20}{4} -\frac{7}{3}$

$x=\frac{20*3-7*4}{12}$

$x=\frac{32}{12}\ cups$

Simplify

$x=\frac{8}{3}\ cups$

Convert to mixed number

$\frac{8}{3}=\frac{6}{3}+\frac{2}{3}=2\frac{2}{3}\ cups$

4 0

3 years ago

If you don't know these, these are called the Diamond problems. There are two numbers on each side, and in the bottom box, it is

cluponka [151]

10,-8 -4,-3
10*-8=80
10+-8=2

6 0

3 years ago

7 times z reduced by a third of the product

ASHA 777 [7]

the answer to 7 times z reduced by a third of the product is 2z

3 0

3 years ago

Read 2 more answers

Express the solutions of 5 >-2x+32 -7 in interval notation.

lord [1]

Answer:

5+7-32>-2x

-20>-2x

-20÷-2>-2x÷-2

10>x

4 0

3 years ago

Use green's theorem to evaluate the line integral along the given positively oriented curve. c yex dx 2ex dy, c is the rectangle

Phoenix [80]

The line integral along the given positively oriented curve is mathematically given as

$=3\left[e^{4}-1\right]$

This is further explained below.

<h3>What is the line integral along the given positively oriented curve.?</h3>

Generally,

$\int M d x+N d y=\iint\left(\frac{\partial N}{\partial x}-\frac{\partial M}{2 y}\right) d y d x$

M=y e^{x}

Therefore

x -->0 to 4

y --> 0 to 3

$\end{aligned}\\&=\int_{0}^{4} \int_{0}^{3}\left(2 e^{x}-e^{x}\right) d y d x\\&=\int_{0}^{4} \int_{0}^{3} e^{x} d y d x\\&=3 \int_{0}^{4} e^{x} d x\\&=3\left[e^{x}\right]_{0}^{4}\\&=3\left[e^{4}-e^{0}\right]\\&=3\left[e^{4}-1\right]\end{aligned}$

In conclusion, the line integral along the given positively oriented curve.

$=3\left[e^{4}-1\right]$