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4 years ago

Find the equation of the line through the points (-2,5) and (3,-10). Give your answer in slope-intercept form.

1 answer:

6 0

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{-10 - 5}{3 - (-2)} = \frac{-15}{3 + 2} = \frac{-15}{5} = -3$

y - y₁ = m(x - x₁)
y - 5 = -3(x - (-2))
y - 5 = -3(x + 2)
y - 5 = -3(x) - 3(2)
y - 5 = -3x - 6
+ 5 + 5
y = -3x - 1

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Multiply Conjugates Using the Product of Conjugates Pattern

SpyIntel [72]

Answer:

The product is the difference of squares is $\left(11-b\right)\left(11+b\right)=121-{{b}^2}$

Step-by-step explanation:

Explanation

The given expression is (11-b)(11+b).

We have to multiply the given expression.

Square the first term 11. Square the last term b.

$\begin{aligned}&(11-b)(11+b)=(11)^{2}-(b)^{2} \\&(11-b)(11+b)=121-b^{2}\end{aligned}$

5 0

2 years ago

Lynn has a box of crayons.

Scrat [10]

Answer:

<em>There are 72 crayons in the box</em>

Step-by-step explanation:

<u>Fractions</u>

To solve this problem we'll manage numbers as fractions to keep the precision up to the end of it.

Lynn has a box of crayons. It's given 4/9 of the crayons are blue. The remaining crayons are:

$1-\frac{4}{9}=\frac{5}{9}$

From that portion, 65% are red, or equivalently, 35% are yellow.

We write 35% as a fraction:

$\displaystyle 35\%=\frac{35}{100}=\frac{7}{20}$

Thus, the portion of yellow crayons is:

$\displaystyle \frac{7}{20}\cdot \frac{5}{9}=\frac{7}{36}$

This fraction of x crayons is equal to 14, thus:

$\displaystyle x=\frac{14}{\frac{7}{36}}=14\cdot\frac{36}{7}$

x = 72

There are 72 crayons in the box

7 0

3 years ago

Find the 9th term of the geometric sequence 8, 32, 128, ...

cestrela7 [59]

Answer:

524,288

Step-by-step explanation:

Hope this helps!

4 0

3 years ago

This is really confusing. Thanks for helping.

Mandarinka [93]

Count change of signs to tell positive roots
then replace x with -x and evaluate, then count change in sign for negative roots

initially
+, -, -, +, +, -
3 changes
3 or 1 positive roots

replacing x with -x
-,-,+,+,-,-
2 changes
2 or 0 negative roots

B is answer

5 0

3 years ago

Helppppopleaseee????

rosijanka [135]

Answer:

LQ = 5

Median = 6

Step-by-step explanation:

$\frac{n+1}{2}$ gives us 5.5, so we do the average of position 5 and 6. This gives us 6, so the median is 6.

Now we find the median of the bottom half of the numbers, which is 5, so the LQ is 5.

Now we find the median of the upper half of the numbers, which is 7, so the UQ is 7.

7 0

2 years ago