Graph the equation 4x+8y=16 <br><br>(please write down the coordinates too)

Dave and Sandy Hartranft are frequent flyers with a particular airline. They often fly from City A to City B, a distance of 756

horsena [70]

Answer:

Plane = 441 mi/h; wind = 63 mi/h

Step-by-step explanation:

distance = rate × time

Let p = the plane's speed in still air

and w = the wind speed . Then,

p + w = speed with wind

p - w = speed against wind

We have two conditions:

(1) 756 = (p - w) × 2

(2) 756 = (p + w) × 1.5

Distribute the constants (3) 756 = 2p - 2w

(4) 756 = 1.5p + 1.5 w

Multiply Equation (3) by 3 (5) 2268 = 6p - 6w

Multiply Equation (4) by 4 (6) 3024 = 6p + 6w

Add Equations (5) and (6) 5292 = 12p

Divide each side by 12 (7) p = 441 mi/h

Substitute (7) into Equation(3) 756 = 882 - 2w

Add 2w to each side 2w + 756 = 882

Subtract 756 from each side 2w = 126

Divide each side by 2 w = 63 mph

The plane's speed in still air is 441 mi/h.

The wind speed is 63 mph.

Check:

(1) 756 = (441 - 63) × 2 (2) 756 = (441 + 63) × 1.5

756 = 378 × 2 756 = 504 × 1.5

756 = 756 756 = 756

8 0

3 years ago

Use the given information to prove that RSU=TSV

RoseWind [281]

Answer:

Statement, Reason

Given segment RV = segment TU, Given

m∠R = m∠T, Given

Segment RS ≅ segment ST, Base angles theorem

ΔRSV ≅ ΔTSU, SAS rule of congruency

Segment SV ≅ segment SU, CPCTC

VU ≅ UV, Reflexive property

RU = RV + VU, TV = TU + UV, Addition of segments

RV + VU ≅ TU + UV, Addition property of equality

RU ≅ TV, Transitive property of addition

ΔRSU ≅ ΔTSV, SSS rule of congruency

Step-by-step explanation:

Where:

SAS- Side Angle Side

CPCTC -Congruent Parts of Congruent Triangles are Congruent

SSS -Side Side Side

3 0

3 years ago

2/3 + 1/2 in simple form fractions

nata0808 [166]

Try and find the common denominator which is 6 since 2×3 is 6 then once u get ur denominator u have to find the numerator which would be 4/6+3/6 And that would equal 7/6 and if you would u would keep it like that but if u would have to change it into a mixed fraction it would be 1 and 1/6

Hoped this helped

3 0

3 years ago

Pat bounces a basketball 25 times in 30 seconds. At that rate, approxiaetely how many times will Pat bounce the ball in 150 seco

-Dominant- [34]

Answer:

1d CV jiewxbiihve EU historical

6 0

3 years ago

(20 pts)

irakobra [83]

A function can be represented by equations and tables