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kumpel [21]
3 years ago
10

Find the area of the triangle below.

Mathematics
1 answer:
svp [43]3 years ago
5 0

Answer:

  (5/6)x²

Step-by-step explanation:

The area of a triangle is given by the formula

  A = (1/2)bh

Here, the base is 5/3x, and the height is x. So, the area is ...

  A = (1/2)(5/3x)(x) = (5/6)x²

You might be interested in
The spiders and ants in Aunt Mellys attic have a total of 152 legs and 22 heads. Spiders have 8 legs and ants have 6 legs. How m
Scorpion4ik [409]

Answer:

10 spiders and 12 ants

Step-by-step explanation:

You need to create two equations

s = # of spiders

a = # of ants

s + a = 22 heads

since each spider and ant has one head

8s + 6a = 152 legs

since every spider has 8 legs and every ant has 6

s + a = 22 can be turned into s = 22 - a

now use substitution

8(22 - a) + 6a = 152

176 - 8a + 6a = 152

176 - 2a = 152

24 = 2a

a = 12

now that you have the number of ants you can solve for the number of spiders

s + a = 22

s + 12 = 22

s = 10

6 0
2 years ago
The graph shows the cost of buying beets at a farm stand
antiseptic1488 [7]

Answer:

Ok what's your question? cna you include the graph?

8 0
3 years ago
A carpenter purchased 70ft of redwood and 70ft of pine for a total cost of $282. A second purchase, at the same prices, included
dedylja [7]
I think the answer is $2.01 per 1ft of redwood and pine

282/2
=141

$141/70ft ÷ 70/70
=$20.1 per 1ft
7 0
3 years ago
Consider the quadratic function f(x) = –2x2 + 4x – 2. Find the y-intercept and the equation of the axis of symmetry.
RoseWind [281]

Answer:

The y-intercept is -2

The equation of the axis of symmetry is x = 1 ⇒ 3rd answer

Step-by-step explanation:

* Lets revise the general form of the quadratic function

- The general form of the quadratic function is f(x) = ax² + bx + c,

 where a, b , c are constant

# a is the coefficient of x²

# b is the coefficient of x

# c is the y-intercept

- The meaning of y-intercept is the graph of the function intersects

 the y-axis at point (0 , c)

- The axis of symmetry of the function is a vertical line

  (parallel to the y-axis) and passing through the vertex of the curve

- We can find the vertex (h , k) of the curve from a and b, where

 h is the x-coordinate of the vertex and k is the y-coordinate of it

# h = -b/a and k = f(h)

- The equation of any vertical line is x = constant

- The axis of symmetry of the quadratic function passing through

  the vertex then its equation is x = h

* Now lets solve the problem

∵ f(x) = -2x² + 4x - 2

∴ a = -2 , b = 4 , c = -2

∵ The y-intercept is c

∴ The y-intercept is -2

∵ h = -b/2a

∴ h = -4/2(-2) = -4/-4 = 1

∴ The equation of the axis of symmetry is x = 1

4 0
3 years ago
What is area of each circle below?
KiRa [710]

Answer:

Step-by-step explanation: A= (Pi) x r^2

4 0
3 years ago
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