1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
artcher [175]
2 years ago
11

the height of a triangle is 4 meters less than the base. if the area of the triangle is 6 m^2 what is the height of the triangle

. pls help. solve using applications of quadratics
Mathematics
1 answer:
inna [77]2 years ago
7 0

Answer:

2m

Step-by-step explanation:

Alrighty let's do this.

We know that formula for the Area of a triangle is:

A = \frac{1}{2}bh

They give us the area as 6m^2, so let's include it in the equation.

6 = \frac{1}{2}bh

Now we reach a stage where we have 2 unknown variables! That means we can't solve it in its current state. So the idea you should have in cases like these where you have 2 or more unknown variables is, "Can I represent this one variable in terms of another variable?" In this case you can do exactly that. You can represent height in terms of length of the base. We are told the height of the triangle is 4 meters less than the base. That is telling us that h = b-4

So replace h in the equation with b-4.

You will now get:

6 = \frac{1}{2}b(b-4)

Now we can work towards solving. Let's get simplifying.

12 = b(b-4)\\12 = b^2 - 4b\\

bring everything to one side so we can make a quadratic and factor:

0 = b^2 - 4b - 12\\0 = (b-6)(b+2)\\\\b = 6\\b\neq -2

We get that b=6.

Since we need the height of the triangle we'll need to call back on what h is. We found earlier that h = b - 4, so to find h, we just sub in our b value into that.

h = (6) - 4 = 2

We find that h=2

You might be interested in
HELP ME PLEASSDJDJXKKCKCKC
attashe74 [19]

the answers is

1 Inch = 4 Feet


Here is the explanation -


the side of square = 12


length of Ground - 48


ratio of length = 12 /48


= 1/4


1 : 4

bye

7 0
2 years ago
Simplify 400000000000 into exponents​
DiKsa [7]

Answer:

The exponent will be 4*10^11

Step-by-step explanation:

^11 This means 11 is an exponent on top.

Hope it helps. Let me know.

3 0
2 years ago
The center of a sphere is HURRY ON A TIMER
omeli [17]

Answer:

Center of the Sphere is a fixed point in its interior which is equidistant from each point on sphere. Option 1 is not right because it says center is line segment. Option 3 is right as it says it is fixed and equidistant from point of surface.

Step-by-step explanation:

1 The center of a sphere is

2 a line segment from the center point to the surface of the sphere.

3  a fixed point equidistant from all points on the surface of the sphere.

4  a three-dimensional circle in which all points are equidistant from a fixed point.

5  the same as the base of the sphere

nvm too late :D

the answer is number 3

6 0
3 years ago
Why does 3^4 x 3^6 simplify to 3^10 instead of 9^10
k0ka [10]

Answer:

3^10

Step-by-step explanation:

Because the rules of index

3^4 = 3*3*3*3

3^6 = 3*3*3*3*3*3

(3^4)(3^6)=

3*3*3*3*3*3*3*3*3*3 = 3^10

4 0
2 years ago
Read 2 more answers
PLEASE HELP! ( no random links )
yawa3891 [41]

Answer:

This is not a statistical question

Step-by-step explanation:

A statistical question is a question the gathers varying data

7 0
3 years ago
Other questions:
  • y varies inversely x and y =-4 when x =7 . find the constant of variation and use it to write the equation that relates the vari
    11·1 answer
  • Mode and median mean and range of <br><br> 14,19,16,13,16,14
    14·1 answer
  • The Jones family is planning a vacation. They will drive from Boston, MA to Tampa, FL (total of 1,336 miles) over 4 days. They w
    8·1 answer
  • Please answer the question in the picture
    13·1 answer
  • Ginny factored 6x2 – 31x – 30 as shown: ac = –180 and b = 31 36(–5) = –180 and 36 + (–5) = 31 6x2 + 36x – 5x – 30 6x(x + 6) – 5(
    11·1 answer
  • Let a and b be any two integers. Show that the following statement is false: If 3|(a+b),then 3|(a−b).Hint. To show that the stat
    14·1 answer
  • 6x+14=4x+4
    13·2 answers
  • Find the measure of angles x y and z pls answer fast​
    15·1 answer
  • Can someone please help me with this question?
    12·2 answers
  • Helllohello help please if you want -
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!