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3 years ago

What is an equation of the line that passes through the points (1,-7) and (-4,8) and put it in fully reduced form

Mathematics

1 answer:

Umnica [9.8K]3 years ago

4 0

equation of line passing through (1,-7)( -4,8)

First let's find slope (m)

m = (8+7)/(-4-1)

= 15/-5 = -3

(x1,y1) = (1,-7)

Plugging above value in

y - y1 = m( x-x1)

y+7 = -3( x-1)

y+7 = -3x +3

y+3x +4=0

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∠F and ∠G are supplementary angles. If m∠F is two less than six times the measure of ∠G, find the measures of both angles

Mnenie [13.5K]

Answer:

∠ G = 26°, ∠ F = 154°

Step-by-step explanation:

Express ∠ F in terms of ∠ G, that is

F = 6G - 2

and since the angles are supplementary, then

G + 6G - 2 = 180, that is

7G - 2 = 180 ( add 2 to both sides )

7G = 182 ( divide both sides by 7 )

G = 26

Thus

∠ G = 26° and ∠ F = 6(26) - 2 = 156 - 2 = 154°

4 0

2 years ago

What is the rate of heat transfer required to melt 1-ton of ice at 32 F in 24 hours?

LiRa [457]

Answer:

3865.74 J/s

Step-by-step explanation:

mass of ice, m = 1 ton = 1000 kg

time , t = 24 hours

latent heat of fusion of ice, L = 334000 J/kg

Heat required to melt, H = m x L

where, m is the mass of ice and L be the latent heat of fusion

So, H = 1000 x 334000 = 334 xx 10^6 J

Rate of heat transfer = heat / time = $\frac{334\times 10^{6}}{86400}$

Rate of heat transfer = 3865.74 J/s

thus, the rate of heat transfer is 3865.74 J/s.

8 0

3 years ago

Enter the range of values for x

Pavlova-9 [17]

<em>Greetings from Brasil...</em>

See the attached figure. The smaller the θ angle, the smaller the AB side will be. If the angle θ = 90º, then AB = 25. As θ < 90, then AB < 25

5X - 10 < 25

5X < 25 + 10

X < 35/5

X < 7

The AB side can be neither zero nor negative. So

5X - 10 > 0

5X > 10

X > 10/5

X > 2

8 0

3 years ago

A members-only speaker series allows people to join for $18 and then pay $1 for every event attended.What is the maximum number

Pachacha [2.7K]

The answer is 4 events

3 0

2 years ago

Read 2 more answers

Can you guys help me? :-(

VMariaS [17]

Answer:

$\frac{9}{10}$

Step-by-step explanation:

Find the LCD because like last time, you cannot add or subtract fractions with different denominators.

LCD = 10

Since the second fractions stayed at the same denominator, you will only have to multiply the first fraction.

$\frac{2 * 2}{5 * 2}$

$\frac{4}{10}$

$\frac{4 + 5}{10}$

$= \frac{9}{10}$

5 0

3 years ago

Read 2 more answers