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prohojiy [21]
4 years ago
13

Evaluate the expression 3c – d for the given variable. d = -c + 7

Mathematics
1 answer:
s2008m [1.1K]4 years ago
5 0
3c-d
3c-(-c+7)
3c+c-7
4c-7
Final answer: 4c-7
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An equilateral triangle with side length 4cm is shown in the diagram, work out the area of the triangle.
dexar [7]

Answer:

8cm²

Step by step explanation:

A= ½×4cm×4cm

A= ½×16cm²

A= 8cm²

6 0
3 years ago
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three cones have a volume of 192π cm³.Cone A has a radius of 2 cm. Cone B has a radius of 3 cm. Cone C has a radius of 4 cm. fin
andrew11 [14]

9514 1404 393

Answer:

  A: 144 cm

  B: 64 cm

  C: 36 cm

Step-by-step explanation:

The volume of a cone is given by ...

  V = (1/3)πr²h

Solving for h, we get ...

  3V/(πr²) = h

Filling in the given values, we get ...

  3(192π)/(πr²) = h

  576/r² = h

Then the heights of the different cones are ...

  A: r = 2, h = 576/4 = 144 . . . cm

  B: r = 3, h = 576/9 = 64 . . . cm

  C: r = 4, h = 576/16 = 36 . . . cm

8 0
3 years ago
What are endpoints of a line segment that divides the triangle defined by the vertices (2, 2), (8, 0), and (8, 4) into two congr
Art [367]

Answer: Option 'B' is correct.

Step-by-step explanation:

Since we have given that

triangle defined by the vertices (2, 2), (8, 0), and (8, 4)

We need to divide the triangle into two congruent triangles.

As we know that "Median " divides into two congruent triangles.

So, we will apply the formula of "Mid point of two coordinates":

So, Suppose (2,2) and (8,0)

(\frac{2+8}{2},\frac{2+0}{2})\\\\(\frac{10}{2},\frac{2}{2})\\\\=(5,1)

Suppose (2,2) and (8,4)

=(\frac{8+2}{2},\frac{2+4}{2})\\\\=\frac{10}{2},\frac{6}{2})\\\\=(5.3)

Hence, Option 'B' is correct.


3 0
3 years ago
Read 2 more answers
H(x) = x3 + 7<br> Determine whether the function is one-to-one.
zubka84 [21]

Answer:

we conclude that the function is one-to-one.

Step-by-step explanation:

A function will a one-to-one function if it

  • passes the vertical line test to make sure it is indeed a function, and
  • also a horizontal line test to make sure it is it one-to-one.

In other words,

The function will be one-to-one if it passes the vertical line test, and also if the horizontal line only cuts the graph of the function in one place.

The reason is that there must be only one x-value for each y-value.

Given the function

h\left(x\right)\:=\:x^3\:+\:7

Have a look at the attached graph.

  • The red portion represents the graph of the function h\left(x\right)\:=\:x^3\:+\:7.
  • The green portion represents the graph of x=2 which is basically a vertical line test. Vertical line indicates that it cuts the cuts the graph of the function in one place. So it is clear that h\left(x\right)\:=\:x^3\:+\:7 is indeed a function.
  • The blue line represents the graph of y=9, which is basically a horizontal line test. Horizontal line indicates that it cuts the cuts the graph of the function in one place. So it is clear that h\left(x\right)\:=\:x^3\:+\:7 is a one-to-one function, as there is only one x-value for each y-value.

Therefore, we conclude that the function is one-to-one.

6 0
4 years ago
Which number is not in scientific notation? Question 15 options: 1) 0.2 ⋅ 103 2) 3 ⋅ 1028 3) 1.03 ⋅ 10−2 4) 1.5 ⋅ 10−6
SashulF [63]
I believe it’s number 2.
3 0
4 years ago
Read 2 more answers
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