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2 years ago

12

P what equation in slope-intercept form represents the line that passes through the points (3,5) and (-9,2)

1 answer:

ivanzaharov [21]2 years ago

3 0

Answer:

$y =\frac{1}{5}x+\frac{22}{5}$

Step-by-step explanation:

To write the equation of a line, use the slope formula to first find the slope.

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{5-2}{3--9}=\frac{3}{3+12}=\frac{3}{15}=\frac{1}{5}$

Substitute m=1/5 and the point (3,5) into point slope formula.

$y-y_1 = m(x-x_1)\\y-5=\frac{1}{5}(x-3)\\y-5=\frac{1}{5}x -\frac{3}{5}\\y =\frac{1}{5}x+\frac{22}{5}$

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The triangles below are similar. Triangle A B C. Side A C is 10 and side A B is 5. Angle C is 30 degrees. Triangle D E F. Side E

Gnoma [55]

Answer:

$\triangle ABC {\displaystyle \sim } \triangle DE\ F$

$\triangle CBA {\displaystyle \sim } \triangle FED$

$\triangle BAC {\displaystyle \sim } \triangle EDF$

Step-by-step explanation:

Given

$\triangle ABC {\displaystyle \sim } \triangle DE\ F$

$AC = 10$

$AB = 5$

$\angle C = 30^\circ$

$ED = 7.5$

$DF = 25$

$\angle F =30$

$\angle E =90$

Required

Which of the options is/are true:

$\triangle CBA {\displaystyle \sim } \triangle FED$ $\triangle CBA {\displaystyle \sim } \triangle FDE$ $\triangle BAC {\displaystyle \sim } \triangle EFD$

$\triangle BAC {\displaystyle \sim } \triangle EDF$ $\triangle ABC {\displaystyle \sim } \triangle DE\ F$ $\triangle ABC {\displaystyle \sim } \triangle DFE$

The given triangles, implies that:

$A {\displaystyle \sim } \ D$

$B {\displaystyle \sim } \ E$

$C {\displaystyle \sim } \ F$

By taking each sides of both triangle, one after the other; the possible similar triangles are:

$\triangle ABC {\displaystyle \sim } \triangle DE\ F$

$\triangle CBA {\displaystyle \sim } \triangle FED$

$\triangle BAC {\displaystyle \sim } \triangle EDF$

5 0

2 years ago

Suda çözündüklerinde H* iyonu verebilen

Afina-wow [57]

Answer:

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7 0

2 years ago

Anna is buying a car and needs to borrow $23,500 from a bank offering a monthly interest rate of 0.4%. If Anna makes monthly pay

aev [14]

...............The answer is 2000

5 0

2 years ago

-5, 20, -80, 320, ... is a geometric sequence a. Find the common ratio, b. Write its recursive rule c. Write its explicit rule.W

mario62 [17]

a.

In order to find the common ratio, we just need to divide a term by the term that comes before it.

So using the terms 20 and -5, we have:

$\text{ratio}=\frac{20}{-5}=-4$

b.

The recursive rule can be found with the formula:

$a_n=a_{n-1}\cdot q$

Where an is the nth term and q is the ratio. So we have:

$a_n=a_{n-1}\cdot(-4)$

c.

The explicit rule can be written as:

$a_n=a_1\cdot q^{n-1}$

Where an is the nth term, a1 is the first term and q is the ratio. So:

$a_n=-5\cdot(-4)^{n-1}$

5 0

4 months ago

What is the result of increasing 50 by 30%?

kogti [31]

Answer:

50 increased by 30% is 65

Step-by-step explanation:

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

30% = 30/100 = 30 ÷ 100 = 0.3.

100% = 100/100 = 100 ÷ 100 = 1.

Percentage increase = 30% × 50

New value = 50 + Percentage increase

Calculate

New value =

50 + Percentage increase =

50 + (30% × 50) =

50 + 30% × 50 =

(1 + 30%) × 50 =

(100% + 30%) × 50 =

130% × 50 =

130 ÷ 100 × 50 =

130 × 50 ÷ 100 =

6,500 ÷ 100 =

65

Or just find 30% of 50 (15) and add that

8 0

1 year ago