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Pepsi [2]
3 years ago
8

Hilda adds 5 to a number, then multiplies the sum by negative 2. The result is 6. Write an equation to find the number, x.

Mathematics
2 answers:
mr_godi [17]3 years ago
7 0
-2(x+5)=6
-2x-10=6 (add 10 to both sides)
-2x=16 (divide both sides by -2)
x=-8
kolezko [41]3 years ago
3 0

Answer:

equation-->-2(x+5)=6

x=-8

Step-by-step explanation:

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Find the equation of the line passing through point (4,2) and perpendicular to AB
Setler [38]

Answer:

a. -⅓

b. 3

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Step-by-step explanation:

a. Gradient of line AB:

A(1, 3), B(7, 1)

Gradient = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 3}{7 - 1} = \frac{-2}{6} = -\frac{1}{3}

Gradient (m) = -⅓

b. The of the line that is perpendicular to line AB would be the negative reciprocal of the gradient of line AB.

Thus, the negative reciprocal of -⅓ = 3

Gradient of the line perpendicular to line AB = 3

c. Equation of the line that passes through (4, 2) and is perpendicular to line AB:

We can write the equation using the point-slope form equation, y - b = m(x - a), where,

(a, b) represents a point on the line, and,

m = gradient/slope

We know that the gradient/slope (m) = 3

Also, a point, (a, b) = (4, 2).

Therefore, substitute a = 4, b = 2, and m = 3 into y - b = m(x - a)

Thus:

y - 2 = 3(x - 4)

y - 2 = 3x - 12

Add 2 to both sides

y = 3x - 12 + 2

y = 3x - 10

5 0
2 years ago
If 1 mile is equal to 1.6 kilometers, convert 50 kilometers to miles.
Free_Kalibri [48]
1 mile = 1.6 km
x = 50 × 1.6
x = 80 miles
4 0
3 years ago
Andrea conducts a science experiment and observes that the height of a plant depends on the amount of sunlight it receives. The
valentina_108 [34]

Answer:

f(h) = 0.004s + 37

Step-by-step explanation:

The correct representation of the height of the plant is;

          f(h) = 0.004s + 37

Given parameters;

  Height of plant  = 37cm

  Rate of growth  = 0.004cm/hr

  Number of hours of sunlight  = s

To solve this problem, the height of the plant is directly dependent on the amount of sunlight;

     f(h) signifies that height is a function

The height of the plant is 37cm;

         f(h) = 37

The plant grows at a rate of 0.004cm/hr;  number of hours of sunlight is s;

       0.004s

Therefore;

  f(h) = 37 + 0.004s

       

8 0
3 years ago
Read 2 more answers
How many games would Chase have to win in a row in order to have a 75% winning record?
morpeh [17]

Answer:

the answer is that he would have to win 7 games in a row to get 75%

Step-by-step explanation:

3 0
3 years ago
Two groups of friends go to a basketball game. Each group plans to share snacks. The first group buys 5 drinks and 6 pretzels fo
tatuchka [14]

Answer:

the price for one pretzel was $1.75

Step-by-step explanation:

d for drinks

p for pretzel

3d + 3p = 9

3d = 9 -3p

d = 3 - p

replace d = 3 - 9 into 4d + 2p = 8.5

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4(3 - p) + 2p = 8.5

12 - 4p + 2p = 8.5

-2p = 8.5 - 12

-2p = -3.5

p = 1.75

3 0
3 years ago
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