The area of a triangle is 2x^2 - 11x + 15 square meters. The length of the base of the triangle is 2x-5
meters. What is the height of the triangle?

Answers

Answer 1

Answer:

of triangle =12base×height

Area of triangle =2x2−11x+15

base =2x−5

Plugging in the given;

2x2−11x+15=12(2x−5)×height

2x2−11x+15=2x−52×height

2x2−11x+151=2x−52×height

2(2x2−11x+15)=(2x−5)×height

4x2−22x+30=(2x−5)×height

4x2−22x+302x−5=height

Resolving the quadratic equation;

(4x2−22x+30)

Simplifying;

4x

Answer 2

Answer:

2x-6

Step-by-step explanation:

height : 2(2x^2-11x+15)/(2x-5)

(4x^2-22x+30)/(2x-5)

Δ/4 = 121 - 120 = 1

x1 = (11+1)/4 = 3

x2 = (11-1)/ 4 = 5/2

4(x-5/2)(x-3)

(4x-10)(x-3)/(2x-5)

2(2x-5)(x-3)/(2x-5)

2x-6

Proof

(2x-6)(2x-5)/2

2(x-3)(2x-5)/2

2x^2-5x-6x+15

2x^2-11x + 15


Related Questions

what is algbra
plz help me

Answers

Answer:

Algebra is math, like X, Y and all that.

Step-by-step explanation:

Answer:

algebra basically study of mathematical symbols and the rules governing the manipulation of these symbols as well.

p-5 = 19
answer step by step & explain

Answers

Answer:

Step-by-step explanation:

Very simple.

p - 5 = 19

So to take out the -5 on that side, you must also do the same thing to the other side. So adding 5 in one side of the equal sign would mean you have to do the same thing on the other side of the equal sign.

SO:

p-5 +5 = 19+5

p = 24

P=26

26-5=19


(19+5 is also 26 so you can check your work that way)

Solve for x. round to the nearest then tenth. Please help!!!

Answers

Answer:

13.7

Step-by-step explanation:

Answer:

x=36

Step-by-step explanation:

22+x=58

22-22= cross that out

58-22= 36

x=36

Can someone solve this with explaining it

Answers

Answer:72

Step-by-step explanation:

72+37=109

180-109=72

I IS MATH

Answer:

72°+37°+x°=180°(being exterior angles)

109°+x°=180°

x°=180°-109°

x°=71°

Two teams are playing in the finals for an adult softball league. Each team has 13 players and the ages of the team members are shown in the tables. Which statement is true?
A) The mean for team 1 is greater than the mean for team 2.
B) The median for team 1 is greater than the median for team 2.
C) The median for team 2 is greater than the median for team 1.
D) The value of Q1 for team 1 is greater than the value of Q1 for team 2.

Answers

Don't you hate the people with the website. The answer is c

Answer:

B

Step-by-step explanation:

Find the probability that a randomly selected points within a square falls in the blue shaded area (circle)

Answers

Answer:

78.8 %

Step-by-step explanation:

From the question,

Area of the square = L²

A = L²

Where L = Length of the square.

From the diagram,

L = 4 in

Therefore,

A = 4²

A = 16 in².

Also,

Area of the circle (A') = πr²

Where r = radius of the circle.

Given: r = 2 in

Therefore,

A' = 22/7(2²)

A = 12.6 in²

Hence,

The probability that a randomly selected points within a square falls in the blue shaded area (Pr) = A'/A

Pr = 12.6/16

Pr = 0.7875

Pr(%) = 78.75

Pr(%) = 78.8 %

what is the midpoint of the line segment with endpoints (-5.5, -6.1) and (-0.5, 9.1)?

Answers

Answer:

(-5/2, 3/2)

Step-by-step explanation:

[(-5.5+.5)/2, (9.1-6.1)/2)} = (-5/2, 3/2)

Drag tiles to match each fraction, decimal, or percent to an equivalent number

Answers

24/25 = 0.96
3/5= 0.60
9/50= 0.18
26%= 13/50
0.35= 7/20

The perimeter of a rectangle is 76cm.
Its longest side has a length of 29cm.
State the length of the shortest side.

Answers

Answer:

The length would be 9cm

Step-by-step explanation:

Because the perimeter is 76, you have to add 29 to 29 which equals 58, then you have to subtract 58 from 76, which is 18. The last episode is divide 18 by 2 because re are two sides remaining. So  answer would be 9. To check the answer you can add 29+29+9+9

A square is drawn below what is the value of x

Answers

Answer:

You donf have the picture shown, how is anybody supposed to work on it

we need the picture

HELPPP ASAP!!!

How many cubes are in this set?

Answers

Answer:

7

Step-by-step explanation:

7 because it's not asking for squares it asking for cubes

50 POINTS: Please help thank you so much!! (Image attached) The polygons are similar. Find the values of the variables.

I know from the answer key that the answers are x=
3 \sqrt{10}310​
and y=
2 \sqrt{10}210​
but I'm not sure how to get there...​

Answers

Answer:

x = 3/5√10

y = 2√10

Step-by-step explanation:

using the Pythagorean theorem:

y² = 7² - 3² = 49 - 9

y² = 40

y = 2√10

3/4.5 = y/5x

4.5y = 15x

substitute for y:

4.5(2√10) = 15x

15x = 9√10

divide both sides of the equation by 15:

x = (9√10)/15 = 3/5√10

which sentence best describes percy's rectangle ​

Answers

Umm I would say birds of a feather flock together

I need help ASAP plzzzz help

Answers

Answer:

D. X = 130 in.

Step-by-step explanation:

a² +b² =c² (Pythagorean theorem)

50² + 120²=c²

2,500 + 14,400 =c²

16,900 = c²

√16900 = √c²

130 = c

X = 130 in.

Hurry need help on number 1 fast pls pls pls!!!

Answers

Answer:

the second answer is the answer

I need help with this please help me out

Answers

Answer:

A and E

Step-by-step explanation:

hope that helps

Which values are solutions of the inequality 5 Choose ALL that apply.


9 or 13 or 15 or 20

Answers

Answer:

a i forgot

Step-by-step explanation:

if 100 ml of rat poison is mixed with 2,5l of water then what would be the simplified poison water ratio ​

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 1:25 ratio of rat poison to water

Explanation:

100:2500

10: 250

1:25

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Help please! Thank you will make brainly

Answers

Answer:

he can buy 7 video games

Step-by-step explanation:

Answer: He can buy up to 7 video games

Step-by-step explanation:

You can't buy .8 of a video game so you have to round down to the nearedt whole number which is 7

I need help it's easy but not for me

Answers

Answer:

1. C. h = 2s + 75

2. J. c = 65m + 25

3. C. y = -3/5x + 3

4. F. T = 129c - 75

5. A. y = -0.5x -1

Evaluate (8 x 10-3) +0.45 – (7 X 10-2). Write your answer in
scientific notation.

Answers

Answer: 80 x  −  60.55

What does reduce mean and which scale factor could be an example of a reduction?

Answers

Answer:

The scale factor describes the size of an enlargement or reduction. For example, a scale factor of means that the new shape is twice the size of the original. Reduce means to make smaller, to lessen a amount.

Step-by-step explanation:

An example of a scale factor of reduction is 1:25

Enlarging scale means that the drawing is larger than the actual object. Hence the representative fraction will be greater than unity. For reducing scale the representative fraction is less than unity.

So now looking at 1:25, we see it's a reduction scaling because it's fraction is less than unity.

And what 1:25 means is that 1 on paper while the actual size of the object is 25

60 minutes is what percentage of 1 hour?​

Answers

Answer:

100%

Step-by-step explanation:

Answer: 100 is your answer hope this helped

plz make brainly

Step-by-step explanation:

Which expression is equivalent to:1/2(x-8)+3x

Answers

Answer:

Step-by-step explanation:

1/2*(x-8)+3x=x/2-4+3x=3.5x-4

Hope this helps!

A 180 pound weight is supported by two ropes each at 30 degrees, as shown in the figure. Find the tension in each rope.

Answers

Answer:

= 41.32N  

To find N amount

You find the kg weight then times it by 10 then divide that amount by 1/2

So that 180pounds = 81.6466 x 10kg

x10 = 816.466

81.6466 / 2 = 40.8233

sin(30) = 40.8233/T

T =  40.8233/sin (30) =  N / sin(30) = Tension = calculator = -41.3178070464 = 41.32 N

if a bakery offers, tuna, and vegetable sandwiches on a plain or onion bagel how many possible sandwiches are there?

Answers

Answer:6

6

66

66

6

6

66

6

6

6

6

6

Step-by-step explanation:

6 sandies sir/ma'am have fun

Please help

I need the answer

Answers

Answer:

D. 14448

Step-by-step explanation:

S = Base area + lateral surface area

  =2*(1/2*(56*42)) + (56+42+70)*72

  = 2352 + 12096

  = 14448

Plzzz help me, like plzzz

Answers

Answer:

y = 28

Step-by-step explanation:

28 = y

28 = 28

the angles are equal to each other because they are vertical angles

Show how to use substitution or elimination to solve the following system of equations. Write your solution as an ordered pair:
7x + y = 5 , 7x + y = -2

( , )

And please tell me if you used substitution or elimination. TYSM

Answers

Answer:

x=.5, y=-5.5

Step-by-step explanation:

7x+y=5, 7x+y=-2

Simplifing 7x+y=5 first

7x+y=5

y=-7x+5

Next, 7x+y=-2

7x+y=-2

y=-7x-2

Plugging in -7x+5 into y

-7x+5=-7x-2

-14x=-7

x=.5

Plugging .5 into y=-7x-2

y=-7(.5)-2

y=-3.5-2

y=-5.5

I used substitution if your couldn't tell

Hope it helps!

Brainliest maybe? :o

Help!!!!
There is one dot at 3.45. What does that value
represent?
A school administrator claims that the average GPA of
the senior class is 3.53. You think that the average GPA
is greater than that, so you select a random sample of
100 seniors and calculate their average GPA. The
sample mean GPA is 3.70.
Using technology, you simulate selecting 100 SRS of
size n = 100 from a population of seniors for which the
mean GPA is 3.53. This dotplot shows the results.
O In one simulated SRS of 100 students, the average
GPA was = 3.45.
In one simulated SRS of 100 students, the
population mean GPA was u = 3.45.
There is a 1 out of 100 chance that the population
mean GPA is = 3.45.
O A majority of the sample of 100 students had a GPA
of r = 3.45.

Answers

Answer: In one simulated SRS of 100 students, the average GPA was x= 3.45

Step-by-step explanation:

Each dot in the dot plot in representation of one sample of 100 students, also I just turned it in

Answer:

A

Step-by-step explanation:

EDGE

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