3 years ago

Factor completely: 3x² + 5x - 12

Mathematics

1 answer:

Paladinen [302]3 years ago

7 0

Please find attached photograph for your answer.

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Condense the expression into a<br> single logarithm and simplify.<br> log26 - log24

podryga [215]

Step-by-step explanation:

this is solved like this

$log_{3}(6) \: - log_{3}(4) \\ = log_{3}( \frac{6}{4} ) \\ = log_{3}( \frac{3}{2} ) \\ = log_{3}(1.5) \\$

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3 years ago

What is the area of triangle ABC?<br> A(2,1) B(4,7) C(6,3)

Helen [10]

Answer: 10

Step-by-step explanation:

It appears that $\overline{AC} \perp \overline{BC}$ , so to check if this is the case, we can use the slope formula.

$m_{\overline{AC}}=\frac{3-1}{6-2}=\frac{1}{2}\\m_{\overline{BC}}=\frac{3-7}{6-4}=-2$

Since these slopes are negative reciprocals, we can see that this is the case. So, we can take $\overline{AC}$ as the base of the triangle and $\overline{BC}$ as the height of the triangle, and then use the formula $A=\frac{1}{2}bh$ .

Using the distance formula,

$AC=\sqrt{(6-2)^{2}+(3-1)^{2}}=\sqrt{16+4}=2\sqrt{5}\\BC=\sqrt{(4-6)^{2}+(7-3)^{2}}=\sqrt{4+16}=2\sqrt{5}$

So, the area is $\frac{1}{2}(2\sqrt{5})(2\sqrt{5})=\boxed{10}$

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2 years ago

31. Larry weighed twice as much as his sister Mary. Together they weighed 210 pounds. How much did each

Pavel [41]

Answer:

Lary weighs 140 Maur weighs 70

Step-by-step explanation:

210÷105 150÷2×3=70

6 0

3 years ago

Read 2 more answers

There 14 girls and 12 boys in the classroom write a ratio, in Fraction and simplify form

PtichkaEL [24]

Answer:

The ratio is 14:12, fraction it is 14/12, simplify 7/6

Step-by-step explanation:

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3 years ago

Anyone know the answers to 13, 14, 15, 16

kirill115 [55]

C,g,a,j my teacher graded it with me today hope this helps! :)))

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3 years ago