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4 years ago

Triangle ABC has verticals A (3,0),B (9,5)and (7,-8) find the length of AC in simplest radical form

Mathematics

1 answer:

AlladinOne [14]4 years ago

4 0

$length = \sqrt{(0+8)^2 + (3-7)^2} = \sqrt{64 + 16} = \sqrt{80} = 4\sqrt{5}$

Answer: Length = 4√5 units.

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Find the area of the shaded region in square units. Show your reasoning.

motikmotik

Answer:

40 square units

Step-by-step explanation:

First of all, lets say that square has side $l$ , so, the area unit is $l^2$

the diagonal's square is $l\sqrt{2}$

CALCULATION OF TRIANGLES'S AREA (there are 4 triangles)

$A_{triangles}=4*base*heigh*0.5=2*(l\sqrt{2} )(2l\sqrt{2} )=8l^2$

CALCULATION OF MAIN SQUARE AREA

$A_{square}=side*side=(4\sqrt{2} l)(4\sqrt{2} l)=32l^2$

TOTAL AREA

$A_{total}=A_{triangles}+A_{square}=8l^2+32l^2=40l^2$

3 0

3 years ago

Mr. And Mrs ikan deposited $15,000 into college savings accounts with an annual compound interest rate 5.25% when their daughter

m_a_m_a [10]

Answer:

$37,650

Step-by-step explanation:

A=15000(1+0.0525)^18

A=15000(2.51)

A=37650

8 0

3 years ago

Write an equation of the line passing theough the point (4,-1) and perpendicular to the line y=2x-5.

Gwar [14]

Icons ojzo kook oak am

7 0

3 years ago

Can you please help me on -5(x+2)=-(-5x+1)-x

PilotLPTM [1.2K]

Answer:

x = -1

Step-by-step explanation:

Step 1: Distribute

-5(x + 2) = -(-5x + 1) - x

-5x - 10 = 5x - 1 - x

-5x - 10 = 4x - 1

Step 2: Solve for x

-5x - 10 + 5x = 4x - 1 + 5x

-10 + 1 = 9x - 1 + 1

-9 / 9 = 9x / 9

-1 = x

Answer: x = -1

7 0

3 years ago

10) Isosceles trapezoid ABCD has legs AB and CD and base BC. If AB = =

Tju [1.3M]

Answer:

y=14

Step-by-step explanation:

We are told that the legs of the isosceles trapezoid are AB and CD

AB = 7y - 4

CD = 8y - 18

In any isosceles trapezoid, the two legs are of equal length.

Therefore, AB = CD

⇒ 7y - 4 = 8y - 18

Add 18 to both sides of the equation

7y - 4 + 18 = 8y - 18 + 18

7y + 14 = 8y

5 0

4 years ago