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3 years ago

The table shows a proportional relationship.

1 answer:

8 0

(2,2.8)(4,5.6)
slope = (5.6 - 2.8) / (4 - 2) = 2.8/2 = 1.4

y = mx + b
slope(m) = 1.4
use either point (2,2.8)...x = 2 and y = 2.8
now we sub and find b, the y int
2.8 = 1.4(2) + b
2.8 = 2.8 + b
2.8 - 2.8 = b
0 = b

so ur equation is : y = 1.4x + 0..or just y = 1.4x

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Use the properties of exponents to rewrite the expression <br> (-3yz)(-3yz)(-3yz)(-3yz)

Ipatiy [6.2K]

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3 years ago

Isabella has a bag of candy. She gives ½ of the bag to Kaleb. Kaleb gives 1/3 of the candy he now has to Scott. If Scott has 5 p

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Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

Divide (6.3 × 103) by (1.8 × 105) giving your answer in Scientific Notation.

Sauron [17]

Answer:

(6.3*10³) ÷ (1.8*10⁵)

6.3*10³ = 0.063*10⁵

then:

(6,3*10³) ÷ (1.8*10⁵) = (0.063*10⁵) ÷ (1.8*10⁵)

= 0.063/1.8

= 0.035

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3 years ago

The bascule bridge shown is opening from its horizontal position to its fully vertical position. So far, the bridge has lifted 3

Maslowich

The bascule bridge will take another <u>23 seconds</u> to reach its vertical position from its current lift position of 35°.

<h3>How is the time determined?</h3>

Using proportion or ratio, one can determine the additional seconds required by the bridge to achieve a vertical position.

The current lift position is 35°, which took 21 seconds. This implies that the bridge's lift rate is <u>1.67° per second</u> (21/35°). To lift to 90°, the bridge will take 54 seconds (1.67 x 90). Since it has already taken 21 seconds, the bridge requires additional <u>23 seconds</u> (54 - 21) to complete the vertical lift.

<h3>Data and Calculations:</h3>

The vertical position of the bridge = 90°

The horizontal position = 0°

Current lift position = 35°

The time it took the bridge to lift 35° = 21 seconds

Therefore, the time it will take the bridge to reach its vertical position from its horizontal position of 90° is 54 seconds (21 x 90/35).

The additional time required by the bridge to reach its vertical position from its current position of 35° is 23 seconds (54 - 21).

Thus, it will take another <u>23 seconds</u> to reach its vertical position.

Learn more about speed, time, and distance at brainly.com/question/553636

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7 0

2 years ago

Given: KLMN is a trapezoid, KF =10 MF ║ LK AKLMF = AFMN Find: KN

Nimfa-mama [501]

You can see the trapezoid in the attached picture.

The data given in the problem are:
KF = 10
LK // MF
A(KLMF) = A(FMN)

We know that KLMF is a parallelogram because:
LM // KF (bases of the trapezoid)
LK // MF (hypothesis).
The area of a parallelogram is given by the formula:
A(KLMF) = b × h
   = KF <span>× h</span>
               = 10 × h

The area of a triangle is given by the formula:
<span>A(FMN) = (b × h) / 2
   = (FN </span>× h) / 2

The problem states that the two areas are congruent, therefore:
A(KLMF) = <span>A(FMN)
</span>10 × h = FN <span>× h / 2
10 = FN </span><span>/ 2
FN = 20

Therefore we can calculate:
KN = KF + FN = 10 + 20 = 30

Hence, KN is 30 units long.</span>

3 0

3 years ago