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4 years ago

Help help help please

Mathematics

1 answer:

aleksandrvk [35]4 years ago

8 0

Answer:

Question 2:

No. The point (1,-6) is not on line L.

Step-by-step explanation:

A straight line L passes through points (a,12) and (4,a)

L is perpendicular to line whose equation is 2x - 3y + 4 = 0

Putting the equation in the straight line equation form:

3y = 2x + 4

y = 2/3x +4/3

Since slope(m) of the perpendicular line is 2/3, line L has a slope of -1 ÷ 2/3 = -3/2

Finding this slope using points given on L:

(a - 12) ÷ (4 - a) = -3/2

2a - 24 = -12 + 3a

a = -12

Taking a point on L (4,a) which is (4,-12) and another point (1,-6);

slope(m) of L = -3/2 and should be equal to (-6 - -12) ÷ (1 - 4) = 6/-3 = -2

Clearly -3/2 ≠ -2

Since a point (1,6) does not give a slope(m) of -3/2 with a point on L; then the point is not on L.

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Mr. Garner’s gas tank holds 17.5 gallons of gasoline. How much will it cost him to fill up his gas tank if gasoline costs $2.48

Mkey [24]

$34.24

Explanation
$2.48 = per gallon
17 x $2 = $ 34
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3 years ago

The polygons above are similar. Write a similarity statement and solve for x. The images are not drawn to scale.

arsen [322]

The correct answer is D) ABCD ~ NMLK, and x=7.

Based on the way the polygons are marked, A corresponds with N, B corresponds with M, C corresponds with L and D corresponds with K. Using this, we set up a proportion:

12/8 = (5x+1)/(5x-11)

Cross multiplying, we have:
12(5x-11) = 8(5x+1)

Using the distributive property,
12*5x - 12*11 = 8*5x + 8*1
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Subtract 40x from both sides:
60x - 132 - 40x = 40x + 8 - 40x
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4 years ago

7. Marie can make 12 small mango pies for every 10 mangoes. How many pie

Marysya12 [62]

Answer:

D. Marie can make 60 pies.

Step-by-step explanation:

In this problem, we know that amount of small mango pies is directly proportional to the amount of mangoes. The amount needed for preparing an amount of pies is calculated by simple rule of three:

A. Marie can make 30 pies.

$x = \frac{10\,mangoes}{12\,pies}\times 30\,pies$

$x = 25\,mangoes$

25 mangoes are required for producing 30 pies.

B. Marie can make 40 pies.

$x = \frac{10\,mangoes}{12\,pies}\times 40\,pies$

$x = 33.333\,mangoes$

34 mangoes are required for producing 40 pies.

C. Marie can make 50 pies.

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$x = 41.667\,mangoes$

42 mangoes are required for producing 50 pies.

D. Marie can make 60 pies.

$x= \frac{10\,mangoes}{12\,pies}\times 60\,pies$

$x = 50\,mangoes$

50 mangoes are required for producing 60 pies.

The complete statement is: Marie can make 12 small mango pies for every 10 mangoes.How many pies can she make with 50 mangoes.

Hence, correct answer is D.

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3 years ago

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Step-by-step explanation:

Given quadrilateral is a parallelogram. Diagonals of a parallelogram bisects each other.

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4 years ago

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Katen [24]

Answer:

Hence, the equation is proportional.

Step-by-step explanation:

To test for proportionality ;

y = 12x

For a proportional relationship ;

y α x

y = kx ; where, k is the constant of proportionality.

From. The equation given

y = 12x ; 12 is thw proportionality constant.

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3 years ago