Find the answer to the nearest tenth. The length of the base of a triangle is 3 times the length of its altitude. Find the length of the base if the area of the triangle is 54 m^2.

Answers

Answer 1

Answer: area=1/2bh h=altitude b=legnth of base b is 3 times h b=3h divide by 3 b/3=h area=1/2bh subsitute b/3 for h 54=1/2(b)(b/3) multiply bothsides by 2/1 108=b(b/3) 108=(b^2)/3 multipy both sides by 3 324=b^2 square root boh sides 18=b legnth of base=18

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A jogger ran 6 laps in eight minutes. How many laps did he run in 1 minute

Answers

6 laps - 8 min
x laps - 1 min

$x=(1\cdot6)/(8)\nx=0.75$

Jessica has two sticks. The sticks are the same distance apart at every point. How would you best describe the sticks?

Answers

The sticks are Parallel

The way to best describe those sticks is to say that they are both parallel.

Determine the direction that this parabola opens y=x^2-6x

Answers

Answer:

the graph of the parabola opens upwards.

Step-by-step explanation:

For any quadratic equation of the form

$ax ^ 2 + bx + c$ is true that:

if the main coefficient "a" is negative then the graph of the parabola opens downwards.

If the main coefficient "a" is positive, the parabola opens upwards

In this case the parabola is $y=x^2-6x$

Note that $a=1$ and $a>0$ therefore the graph of the parabola opens upwards.

Shawna, Dexter, and Tilana are solving the equation -2.5(5-n)+2=15. Shawna says, “I can begin by dividing each side of the equation by –2.5 to get 5-n-2/2.5=-15/2.5." Dexter says, “I can begin by distributing -2.5 to get -12.5+2.5n+2=15." Tilana says, “I can begin by multiplying each side of the equation by -1/2,5 to get 5-n-0.8=-6." Which students are correct?

Answers

Shawna and Dexter are both correct.
I hope this helps you

hi!
Shawna is correct because since it's multiplied to the 5-n you have to do the opposite which is division.
Dexter is also correct because after distributing you can continue solving, there is nothing wrong with that.
Hope this helps!

What is the largest positive integer value of m such that the equation 3x^2 - mx + 7 = 0 has no real solutions?

Answers

use determinant
in form ax²+bx+c=0
when b²-4ac>0, it has 2 real roots
when b²-4ac=0, it has 1 real root
when b²-4ac<0, it has no real roots
so

we solve for no real roots
b²-4ac<0
a=3
c=7
b=-m

(-m)²-(4)(3)(7)<0
m²-84<0
add 84 both sides
m²<84
sqrt both sides
m<9.1 about
nearest integer
round down
m=9

answer is m=9

Using the numbers 8, 6, 4 write an expression that equals 7

Answers

$(8-4)/(4)+6=(4)/(4)+6=1+6=7$

$8-(8-6)/(6-4)=8-(2)/(2)=8-1=7$

$(8+6)/(6-4)=(14)/(2)=7$

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A trumpet vine is currently 16 inches tall planted next to a 4-foot fence. the trumpet vine grows at an average rate of 1/2 inch per day. at that rate, how many days will it take the vine to grow to the top of the fence?ANSWERS AVALABLE A, 32 DAYS C, 96 DAYS B,64 DAYS D, 63 1/2 DAYS

Which number is the reciprocal of 1/6?A.- 1/6B.0C.6 D.12