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3 years ago

Line CD passes through points C(3, –5) and D(6, 0). What is the equation of line CD in standard form?

1 answer:

5 0

Slope = (y₂- y₁) / (x₂- x₁)

Points C( 3, -5) and D (6, 0) compare to (x₁, y₁) and (x₂, y₂)

Slope = (0 - -5) / (6- 3) = (0+5) / (3) = 5/3

Slope = 5/3

Equation of line given a slope and point, y - y₁ = m(x - x₁)

m = 5/3,    let point C( 3, -5) = (x₁, y₁)

y - - 5 = (5/3) (x - 3)

y + 5 = (5/3)(x - 3)

   3(y + 5) = 5(x - 3)

3y + 15 = 5x - 15

   3y = 5x - 15 - 15

   3y = 5x - 30

Hence the equation of the line is 3y = 5x - 30

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Figure ABCD is a square. Prove BD ≅ AC. Statements Reasons 1. ABCD is a square 1. given 2. ∠DAB, ∠ABC, ∠BCD, and ∠CDA are right

FromTheMoon [43]

A. all sides are congruent. :)

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3 years ago

Read 2 more answers

What is the shaded portion of the circle

blagie [28]

Answer:

$(5\pi-11.6)\ ft^{2}$

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the sector minus the area of the triangle

step 1

Find the area of the circle

the area of the circle is equal to

$A=\pi r^{2}$

we have

$r=5\ ft$

substitute

$A=\pi (5)^{2}$

$A=25\pi\ ft^{2}$

step 2

Find the area of the sector

we know that

The area of the circle subtends a central angle of 360 degrees

by proportion find out the area of a sector by a central angle of 72 degrees

$\frac{25\pi}{360}=\frac{x}{72}\\ \\x=72*25\pi /360\\ \\x=5\pi\ ft^{2}$

step 3

Find the area of triangle

The area of the triangle is equal to

$A=\frac{1}{2}(2.9+2.9)(4)= 11.6\ ft^{2}$

step 4

Find the area of the shaded region

Subtract the area of the triangle from the area of the sector

$(5\pi-11.6)\ ft^{2}$

8 0

3 years ago

An airplane traveled 700 kilometers in two hours during a trip. What was the average speed of the plane during the trip?

Igoryamba

9514 1404 393

Answer:

350 km/h

Step-by-step explanation:

Speed = distance/time

speed = (700 km)/(2 h) = 350 km/h

8 0

3 years ago

According to a study, an average of six cell phone thefts is reported in San Francisco per day. Assume that the number of report

lions [1.4K]

Answer:0.29

Step-by-step explanation:

An average of six cell phone thefts is reported in San Francisco per day. This means our mean value, u = 6

For poisson distribution,

P(x=r) = (e^-u×u^r)/r!

probability that four cell phones will be reported stolen tomorrow=

P(x=4)= (e^-6×6^4)/4!

= (0.00248×1296)/4×3×2×1

= 3.21408/24=

0.13392

P(x=5)= (e^-6×6^5)/5!

= (0.00248×7776)/5×4×3×2×1

= 19.28448/120

= 0.1607

probability that four or five cell phones will be reported stolen tomorrow

= P(x=4) + P(x=5)

= 0.13392 + 0.1607

= 0.294624

Approximately 0.29

8 0

3 years ago

??? Anyone I need help

Schach [20]

Answer b

Because -2-5 adds -5 to it equals -7

If you have any questions about answer just ask

And please give brainliest

4 0

3 years ago