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salantis [7]
3 years ago
8

Write an equation of a line in point-slope form that passes through (-4,-7) and has a slope of -2

Mathematics
1 answer:
xeze [42]3 years ago
8 0
\bf (\stackrel{x_1}{-4}~,~\stackrel{y_1}{-7})
\qquad \qquad \qquad 
% slope  = m
slope =  m\implies -2
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-7)=-2[x-(-4)]
\\\\\\
y+7=-2(x+4)
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We need help finding the means of the sides of this figure.<br> (Photo attached)<br><br> Thank you
VikaD [51]

Answer:

3) 5

4) 8.2

5) 6.8

6)FG = 6.4

7) EF = 3.6

8)DF = 4.8

Step-by-step explanation:

From the attached triangle, using trigonometric ratio we can find ∠G as; tan^(-1) (6/8)

Thus, ∠G = 36.87°

Still using trigonometric ratios;

FG/8 = cos 36.87°

FG = 8 cos 36.87°

FG = 6.4

3) EF + FG = EG

Since EG is 10, mean of EF and FG = 10/2 = 5

4) mean of EG and FG = (10 + 6.4)/2 = 8.2

5) EF + FG = EG

Thus; EF = EG - FG

EF = 10 - 6.4

EF = 3.6

Mean of EG and EF = (10 + 3.6)/2 = 6.8

6) FG = 6.4

7) EF = 3.6

8) Using trigonometric ratio;

DF/8 = sin 36.87

DF = 8 × 0.6

DF = 4.8

8 0
3 years ago
Jennifer made 5 Liters of punch for her party. Her brother made another 750 milliliters if they combine the two batches how many
tia_tia [17]

Answer:

Step-by-step explanation:

The total amount of punch that Jennifer made for her party is 5 Liters. Her brother made another 750 milliliters.

1000 milliliters = 1 liter

750 milliliters = 750/1000 = 0.75Liter

if they combine the two batches, the total amount made would be

5 + 0.75 = 5.75Liter

= 5.75 × 1000 = 5750 milliliters

The number of 180 milliliters servings would be

5750/180 = 31 servings

There would be leftovers of 170 milliliters

7 0
3 years ago
What’s Equivalent to 1/2 that has the denominator of 4
max2010maxim [7]

Answer:

2/4. I.e multiplying both denominator and numerator by 2

Step-by-step explanation:

7 0
3 years ago
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Fill in the missing number in this newspaper report:
natka813 [3]

Answer:

£125000

Step-by-step explanation:

Original cost of house = £100 000

Percent increase = 25%

Increase in price = 25% of 100,000

Increase in price = 0.25 * 100,000

Increase in price = 25000

New cost = original cost + Increment

New cost = 100,000 + 25,000

New cost = 125,000

Hence it now cost  £125000

8 0
3 years ago
5tanx-2cotx+1=0...... .
Verdich [7]

Step-by-step explanation:

5(tanx)^2 -2 +tanx=0

let tanx=y

5y^2 + y-2=0

y=0.5403 or y= -0.7403

tanx=0.5403

x=arctan(0.5403)

x=28.38°

or

tanx=-0.7403

x=arctan(-0.7403)

x=143.49°

7 0
3 years ago
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