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2 years ago

Determine the standard form of the equation of the line that passes through (6,0) and (2,-7).

Mathematics

1 answer:

lesya [120]2 years ago

5 0

Answer:

-7x + 4y = +42

Step-by-step explanation:

Going from point (2, -7) to point (6, 0), x increases by 4 and y increases by 7. Thus, the slope of the line in question is m = 7/4.

Starting from the equation y = mx + b, and subbing (7/4) for m, 6 for x and 0 for y, we get:

0 = (7/4)(6) + b. Then b = 42/4, or 21/2. Thus, we now have y = (7/4)x + 21/2.

We must put this into "standard form." Multiplying all three terms by 4, we get:

4y = 7x + 42. Rearranging these terms to fit the "standard form" equation Ax + By = C, we get:

-7x + 4y = +42

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How do I rewrite the quadratic function in intercept

antiseptic1488 [7]

You have to factor and then get the x intercepts

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2 years ago

the train traveled at an average speed of 48 miles per hour for the first 2 hours and at 60 miles an hour for the next hours. Wh

Aleksandr [31]

Answer: 56 mph

Step-by-step explanation:

48 miles x 2 hours = 96 miles

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2 years ago

one of the angles of a triangle is 80 and other two angles are equal find the measure of each of the equal angles

mina [271]

Answer:

50°

Step-by-step explanation:

Let measure of one equal side be x.

80° +x +x = 180°[ sum of interior angle of triangle is 180°]

= 2x = 180° -80°

= x = 100°/2

=x = 50°

7 0

2 years ago

Plz help me with this math and also explain

jasenka [17]

Step-by-step explanation:

SI = $250
Rate (R) = 12 $\sf \dfrac{1}{2}$ %
Time (t) = 4 years

$\longrightarrow \tt { SI = \dfrac{PRT}{100} } \\$

$\longrightarrow \tt { 250 = \dfrac{P \times 12\cfrac{1}{2} \times 4}{100} } \\$

$\longrightarrow \tt { 250 = \dfrac{P \times \cfrac{25}{2} \times 4}{100} } \\$

$\longrightarrow \tt { 250 = \dfrac{P \times 25 \times 2}{100} } \\$

$\longrightarrow \tt { 250 = \dfrac{P \times 50}{100} } \\$

$\longrightarrow \tt { 250 \times 100 = P \times 50} \\$

$\longrightarrow \tt { 25000 = P \times 50} \\$

$\longrightarrow \tt { \dfrac{25000}{50} = P } \\$

$\longrightarrow \underline{\boxed{ \green{ \tt { \$ \; 500 = P }}}} \\$

Therefore principal is $500.

2/7 of the balls are red.
3/5 of the balls are blue.
Rest are yellow.
Number of yellow balls = 36

Let the total number of balls be x.

→ Red balls + Blue balls + Yellow balls = Total number of balls

$\longrightarrow \tt{ \dfrac{2}{7}x + \dfrac{3}{5}x + 36 = x} \\$

$\longrightarrow \tt{ \dfrac{10x + 21x + 1260}{35} = x} \\$

$\longrightarrow \tt{ \dfrac{31x + 1260}{35} = x} \\$

$\longrightarrow \tt{ 31x + 1260= 35x} \\$

$\longrightarrow \tt{ 1260= 35x-31x} \\$

$\longrightarrow \tt{ 1260= 4x} \\$

$\longrightarrow \tt{ \dfrac{1260 }{4}= x} \\$

$\longrightarrow \underline{\boxed{ \tt { 315 = x }}} \\$

Total number of balls is 315.

A/Q,

3/5 of the balls are blue.

$\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}x} \\$

$\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}(315)} \\$

$\longrightarrow \tt{ Balls_{(Blue)} = 3(63)} \\$

$\longrightarrow \underline{\boxed{ \green {\tt { Balls_{(Blue)} = 189 }}}} \\$

8 0

2 years ago

If 4 pounds of potatoes costs $6.78. How much does 1 pound of potatoes cost? Show all your work!

baherus [9]

If 4 lbs of potatoes cost 6.78...then 1 lbs of potatoes cost 6.78/4 = 1.695...rounds to 1.70 per lb

3 0

2 years ago