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2 years ago

Write an equation of the line passing through the point (6,4) that is perpendicular to the line y=- 1/2x +4

Mathematics

1 answer:

Reil [10]2 years ago

5 0

Hello,

"perpendicular to the line y= - 1/2x +4 "

so y = -1/2x + p

-1/2 × 6 + p = 4 ⇔ -3 + p = 4 ⇔ p = 4 + 3 = 7

y = -1/2x + 7

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A gardener is planting two types of trees. Type A is three feet and grows at a rate of 15 inches per year. Type B is four feet t

4vir4ik [10]

Answer:

2.4 years

Step-by-step explanation:

We can write two equations for each Type and equate and solve for unknown variable.

First, we need to make the initial height (in ft) to inches.

3 feet = 3 * 12 = 36 inches

4 feet = 4 * 12 = 48 inches

Let "t" be the number of years

For Type A, the equation would be:

36 + 15t [36 inches already and 15 inches per year]

For Type B, the equation would be:

48 + 10t [48 inches and 10 inches per year]

Now we equate and solve for "t", the time when both are same height:

$36 + 15t = 48 + 10t\\15t-10t=48-36\\5t=12\\t=\frac{12}{5}\\t=2.4$

Hence, after 2.4 years, both trees' heights would be same

7 0

4 years ago

H=-16t^2 + 104t + 56

WITCHER [35]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$h=-16t^{2}+104t+56$

Using a graphing tool

see the attached figure

This is the equation of a vertical parabola open downward

The vertex is the point (3.25,225) (a maximum)

The zero's of the function or the t-intercepts are the points (-0.5,0) and (7,0)

The h-intercept of the function is the point (0,56)

The domain of the function are all real numbers

The range of the function $h\leq225$ ----> All real numbers less than or equal to 225

8 0

4 years ago

What is the smallest of 3 consecutive positive integers if the product of the smaller two integers is 5 less than 5 times the la

olga55 [171]

Let's say the first number is "a"
the next consecutive can just be "a+1" and the next, you guessed it, "a+2"
the two smaller ones are a and a+1, the larger one is a+2

now, the product of "a" and "a+1" equals 5 times "a+2" but less by 5

thus a(a + 1) = 5(a + 2) - 5 <----- solve for "a"

7 0

3 years ago

I'LL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!! NO RANDOM LINKS.

zavuch27 [327]

Answer:

B, C, D

Step-by-step explanation:

9x4=36 Yes

12x3=36 Yes

6x6=36 Yes

9x9=81 No

8x4=32 No

7 0

3 years ago

Can someone please help me solve this I need to see if I got it correct

nignag [31]

First covert the yards to feet so you will have 317 feet so you do 317*317=100489
100489*8=803912 feet

5 0

4 years ago

Write an equation of the line passing through the point (6,4) that is perpendicular to the line y=- 1/2x +4 ​

Write an equation of the line passing through the point (6,4) that is perpendicular to the line y=- 1/2x +4