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2 years ago

Simplify the expression. 6w+8−4w−1

Mathematics

1 answer:

IrinaVladis [17]2 years ago

4 0

Combine like terms
6w - 4w and 8 - 1
Final answer: 2w - 7

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Find the area of the circle. Leave your answer in terms of π. radius is 14 in.

Ray Of Light [21]

The formula of the area of the circle:

π × radius^2

In this case, given that the radius is 14 inches:

π × 14^2

=196π square inches

Therefore the answer is 196π square inches.

Hope it helps!

5 0

3 years ago

The diagonals of this rhombus are 8 and 16 units long. Their intersection creates four right angles, two 4-unit-long segments, a

Roman55 [17]

Answer:

$64\ \text{sq. units}$

Step-by-step explanation:

Area of a rhombus is the product of the length of the diagonals divided by two.

Length of one diagonal is 8 units and the other diagonal is 16 units

Area is given by

$A=\dfrac{8\times 16}{2}\\\Rightarrow A=64\ \text{sq. units}$

The area of the rhombus is $64\ \text{sq. units}$

Another approach is the diagonals have created 4 triangles where the base and is height is either 4 units long or 8 units long so the area of the rhombus would be the area of the 4 triangles.

$A=4\times \dfrac{1}{2}\times 4\times 8\\\Rightarrow A=64\ \text{sq. units}$

5 0

3 years ago

4/5 ÷ 7/6 + 2/7 ∙2 1/5

Aleksandr [31]

<h2>The value of $\dfrac{4}{5}$ ÷ $\dfrac{7}{6}$ + $\dfrac{2}{7}.2\dfrac{1}{5}$ $=\dfrac{8}{7}$ </h2>

Step-by-step explanation:

We have,

$\dfrac{4}{5}$ ÷ $\dfrac{7}{6}$ + $\dfrac{2}{7}.2\dfrac{1}{5}$

To find, the value of $\dfrac{4}{5}$ ÷ $\dfrac{7}{6}$ + $\dfrac{2}{7}.2\dfrac{1}{5}$ = ?

∴ $\dfrac{4}{5}$ ÷ $\dfrac{7}{6}$ + $\dfrac{2}{7}.2\dfrac{1}{5}$

$=\dfrac{4}{5}\times \dfrac{6}{7} +\dfrac{2}{7}.\dfrac{8}{5}$

$=\dfrac{24}{35} +\dfrac{16}{35}$

Taking LCM of denominator, we get

$=\dfrac{24+16}{35}$

$=\dfrac{40}{35}$

Dividing numerator and denominator by 5, we get

$=\dfrac{8}{7}$

∴ The value of $\dfrac{4}{5}$ ÷ $\dfrac{7}{6}$ + $\dfrac{2}{7}.2\dfrac{1}{5}$ $=\dfrac{8}{7}$

Hence, the value of $\dfrac{4}{5}$ ÷ $\dfrac{7}{6}$ + $\dfrac{2}{7}.2\dfrac{1}{5}$ is equal to $\dfrac{8}{7} .$

4 0

3 years ago

Which of the following equations are the correct answer

Mariulka [41]

(-6,4) and (3, 1)
slope =(4-1)/(-6-3) = -3/9 = -1/3

equations
y - 4 = -1/3(x + 6)
y - 1 = -1/3(x - 3)

answer C and F
C. y - 1 = -1/3(x - 3)
F. y - 4 = -1/3(x + 6)

3 0

3 years ago

I need help with the two ones in the middle please | 15 pts.

Aloiza [94]

First answer: 6 and 8

6 + 8 = 14

6 * 8 = 48

Second answer: 14 in the middle, 350 on top.

39 - 25 = 14

25 * 14 = 350

8 0

3 years ago