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3 years ago

Given a term in an arithmetic sequence and the common difference,

Mathematics

1 answer:

Anastaziya [24]3 years ago

8 0

Answer:

the answer is 45 please do you get it

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Exercise 21

Lina20 [59]

Answer:

see explanation

Step-by-step explanation:

area of Δ ABC is calculated as

A = $\frac{1}{2}$ bh ( b is the base and h the height )

Here b = 4x - 6 and h = 2x - 3 , then

A = $\frac{1}{2}$ (4x - 6)(2x - 3) ← expand using FOIL

= $\frac{1}{2}$ (8x² - 24x + 18) ← distribute

= 4x² - 12x + 9

----------------------------------------------------------

Area of rectangle CBFG is calculated as

A = lb ( l is length, b is breadth )

Here l = 4x - 6 and b = 3x - 2, then

A = (4x - 6)(3x - 2) ← expand using FOIL

= 12x² - 26x + 12

----------------------------------------------------------

Area of trapezoid is calculated as

A = $\frac{1}{2}$ h (b₁ + b₂)

where h is the height and b₁, b₂ the parallel bases

Here h = 2x - 3, b₁ = 4x + 1, b₂ = 2x + 3 , then

A = $\frac{1}{2}$ (2x - 3)(4x + 1 + 2x + 3)

= $\frac{1}{2}$ (2x - 3)(6x + 4) ← expand using FOIL

= $\frac{1}{2}$ (12x² - 10x - 12) ← distribute

= 6x² - 5x - 6

5 0

3 years ago

Laura has $30 to spend on food for the week. Which inequality represents this? x < 30 x < 30 x > 30 x > 30

Llana [10]

X is less than or equal to $30, she can spend $30, she cant spend more, she can spend less.

The answer should look like X<30 with a line under the less than sign, i hope this helps.

7 0

4 years ago

Solve for y in the following equation. x+2y=z

Galina-37 [17]

Answer:

The Answer:

Step-by-step explanation:

x+2y=z

minus x both sides

2y=z-x

divide by 2 both sides

The Answer:

$y = \frac{z - x}{2}$

6 0

4 years ago

Given: ΔKLM, KL = LM, F ∈ LM m∠KFM = 75º m∠1=m∠2 Find: m∠K, m∠L and m∠M

SCORPION-xisa [38]

The answer is m∠K=70º, m∠M=70º, and m∠L=40º.

6 0

4 years ago

Read 2 more answers

ABCD and EFGH are squares. If JH= 4cm and JC=9cm, then what is the area of the shaded region?

romanna [79]

The squares are shown in the attached picture.

As you can see, JC is half the diagonal of ABCD and JH is half the diagonal of EFGH.

In order to find the area of the shaded figure, we need to subtract the area of the white square (EFGH) from the area of the big square (ABCD).

The area of a square know the diagonal is given by the formula:
A = d² ÷ 2

A(ABCD) = (2×JC)² ÷ 2
= (2×9)² ÷ 2
= 162 cm²

A(EFGH) = (2×JH)² ÷ 2
   = (2×4)² ÷ 2
   = 32 cm²

Therefore:
A = A(ABCD) - <span>A(EFGH)
   = 162 - 32
   = 130 cm</span>²

The area of the shaded region is 130 cm².

3 0

3 years ago