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3 years ago

Which 1 is the equation 3x+9y=7 that passes through (6,4)

Mathematics

1 answer:

algol [13]3 years ago

6 0

Perpendicular lines have an negated inverse slope compared to a given line. so we need to find slope of line:
3x + 9y = 7
y = -1 / 3 x + 7

so the opposite of -1/3 is 1/3. flip the fraction to get the inverse and it is 3/1 or 3. 3 is then the slope of perpendicular line. now we see which one will work with it. there are 2 possible
3x+ 4 = y
3x - 14 = y

plug in the point on line and see if it works
3 (6) + 4 = 4 nope

3 (6) -14 = 4 yes
so 3x - 14 = y

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Which of the following is a factor

vitfil [10]

Answer:

(3x-8)

Step-by-step explanation:

6x^2-13x-8=(3x-8)(2x+1)

Thus, (3x-8) is one of the factors of the formula.

3 0

3 years ago

a new car, originally worth $35,795, depreciates at a rate of 17% per year. The value of the car can be represented by the equat

Sergio [31]

We have been given that a new car, originally worth $35,795, depreciates at a rate of 17% per year. The value of the car can be represented by the equation $y=35795(0.83)^x$ , where x represents the number of years since purchase and y represents the value (in dollars) of the car.

To find the value of car of after 5 years, we will substitute $x=5$ in our given equation as:

$y=35795(0.83)^5$

$y=35795\cdot (0.3939040643)$

$y=14099.79598$

Upon rounding to nearest tenth, we will get:

$y\approx 14099.8$

Therefore, the car will be worth $14,099.8 after 5 years it is first purchased.

Since $14,099.8 is less than original value of car, therefore, we know hat value of car is depreciating and $14,099.8 is correct answer.

We also know that an exponential decay function is in form $y=a(1-r)^x$ , where,

y = Final value after t years,

a = Initial value,

r = Decay rate in decimal form,

x= Time.

$17\%=\frac{17}{100}=0.17$

$y=35795(1-0.17)^x$

$y=35795(0.83)^x$

8 0

3 years ago

Maren is completing a wood working project. She needs 90 feet of wood. She has 8 pieces of wood that are each 6.2 feet long in h

Over [174]

Answer:

She needs 40.4 feet of wood.

Step-by-step explanation:

➾ She had 8 pieces of wood that are 6.2 feet each, so total length of wood she had = 8×6.2

= 49.6feet.

➾She needs total 90feet. of wood and she had already 49.6 feet of wood.

So, now wood she needed = 90-49.6

= 40.4feet.

____________________________

Hope it helps you:)

4 0

3 years ago

Read 2 more answers

Use the slope formula to find the missing coordinate. m =3/5 , P(3, 2) and Q(8,_)

FromTheMoon [43]

M=(y₂-y₁)/(x₂-x₁). Let Z be the missing coordinate

3/5 = (Z - 2)/(8-3)
3/5 = (Z-2)/5
3 = Z-2 and Z =5, So Q(8,5)

5 0

3 years ago

Read 2 more answers

Use the Hinge Theorem or its converse and properties of triangles to write and solve an inequality to describe the restriction o

d1i1m1o1n [39]

Answer:

The inequality is: $3x+2$

The result is: $x>1$

Step-by-step explanation:

1. According to the Hinge Theorem, when you have two triangles and two sides of both triangles are congruent, and the included angle of the first triangle is larger than the included angle of the other triangle, the third side of the first one is longer than the third side of the second one.

2. Keeping this on mind, as you can see in the figure, both triangles has two equal sides, and the included angle of the first one is larger than the angle of the second one:

$38$ °> $30$ °

3. Therefore, the third side of the first one is longer than the third side of the second triangle. So, you have the following inequality:

$3x+2$

4. Solve for $x$ . Therefore, you obtain:

$2+7$

4 0

3 years ago