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3 years ago

What is the slope of the line that passes through the following points: (4, -3), (-5, 10)

Mathematics

1 answer:

umka21 [38]3 years ago

5 0

Answer:

-9/13

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

10-(-3)/-5-4

13/-9

-9/13

Best of Luck!

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Directions : Factor each of the following Differences of two squares and write your answer together with solution

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$\huge \boxed{\mathfrak{Question} \downarrow}$

Factor each of the following differences of two squares and write your answer together with solution.

$\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}$

$\sf \: x ^ { 2 } - 36$

Rewrite $\sf\:x^{2}-36 as x^{2}-6^{2}$ . The difference of squares can be factored using the rule: $\sf\: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)$ .

$\boxed{ \boxed{ \bf\left(x-6\right)\left(x+6\right) }}$

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$\sf \: 49 - x ^ { 2 }$

Rewrite 49-x² as 7²-x². The difference of squares can be factored using the rule: $\sf\:a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)$ .

$\sf \: \left(7-x\right)\left(7+x\right)$

Reorder the terms.

$\boxed{ \boxed{ \bf\left(-x+7\right)\left(x+7\right) }}$

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$\sf \: 81 - c ^ { 2 }$

Rewrite 81-c²as 9²-c². The difference of squares can be factored using the rule: $\sf\:a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)$ .

$\sf\left(9-c\right)\left(9+c\right)$

Reorder the terms.

$\boxed{ \boxed{ \bf\left(-c+9\right)\left(c+9\right) }}$

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$\sf \: m ^ { 2 } n ^ { 2 } - 1$

Rewrite m²n² - 1 as $\sf\left(mn\right)^{2}-1^{2}$ . The difference of squares can be factored using the rule: $\sf\:a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)$ .

$\boxed{ \boxed{ \bf\left(mn-1\right)\left(mn+1\right) }}$

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3 years ago

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adell [148]

Answer:

Step-by-step explanation:

❂Hello there❂

❉Basically the answer is 32

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3 years ago

The population of a local species of dragonfly can be found using an infinite geometric series where a1 = 30 and the common rati

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The sum will be:

sigma(i = 1 to infinity, 30*(2/5)^i)

-> $\lim_{i \to \infty} \frac{30(1- \frac{2}{5}^{i} )}{ \frac{3}{5} }$

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Find the distance between the two points in simplest radical form.<br> (-5,0) and (-9,9)

Degger [83]

Answer:

√97 units

Step-by-step explanation:

the distance between the two points in (-5,0) and (-9,9) is √97 units.

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