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AlladinOne [14]
3 years ago
7

in a long jump competetion wendy jumped 9/10 meters and judy jumped 10/9 meters. draw a number line to model the distance of eac

h girls long jump. Who jumped the shortest?
Mathematics
2 answers:
Kruka [31]3 years ago
6 0
Judy jumped the shortest distance
Nady [450]3 years ago
3 0
Judy jumped the shortest
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Plz help I have no idea how to answer it​
saveliy_v [14]

5. Answer: see explanation

<u>Step-by-step explanation:</u>

If the roots are m and 3m, then x = m and x = 3m

⇒ x - m = 0    and      x - 3m = 0

⇒ (x - m)(x - 3m) = 0

⇒ x² - 4mx + 3m² = 0

Since x² + px + q = 0   then  p = -4m   and q = 3m²

3p² = 3(-4m)²               16q = 16(3m²)

      = 3(16m²)                      = 48m²

      = 48m²

3p² = 48m² = 16q     ⇒           3p² = 16q

**********************************************************************************************

6. Answer: 8 or 18

<u>Step-by-step explanation:</u>

The Area of the entire rectangle (A = L × w) is 12 × 10 = 120

The Area of the shaded region is 72, so the Area of the non-shaded region is 120 - 72 = 48.

There are two non-shaded triangles.

  • Bigger non-shaded Δ: L = 12-x, w = 10  ⇒ A = \dfrac{10(12-x)}{2}
  • Smaller non-shaded Δ: L = x, w = x ⇒ A=\dfrac{x(x)}{2}

Combine the Areas of both triangles and set it equal to the Area of the non-shaded region:

\dfrac{x(x)}{2}+\dfrac{10(12-x)}{2}=48\\\\\\\dfrac{x^2}{2}+\dfrac{120-10x}{2}=48\\\\\\\dfrac{x^2-10x+120}{2}=48\\\\\\x^2-10x+120=96\\\\x^2-10x+24=0\\\\(x-4)(x-6)=0\\\\x - 4 = 0\quad or\quad x-6=0\\x=4\qquad or\qquad x=6\\\\\text{Based on the image provided, it appears that the x-value will be the}\\\text{smallest of the two possible solutions (4), but both solutions are valid.}

Area of ΔBEF:

\text{when x = 4, A =}\ \dfrac{4(4)}{2}=\dfrac{16}{2}=8\\\\\\\text{when x = 6, A =}\ \dfrac{6(6)}{2}=\dfrac{36}{2}=18

5 0
3 years ago
A board game has a spinner divided into sections of equal size. Each section is labeled with a number between 1 and 5.
Evgesh-ka [11]

Answer:

30 times

Step-by-step explanation:

1. find the possibility of the spinner landing on each section

<em>1 / 5 = 0.2</em>

<em />

2. multiply # of spins by the possibility

<em>150 * 0.2 = </em><em><u>30 times</u></em>

4 0
3 years ago
Is 1.3 greater than negative 5
Gemiola [76]
1.3 would be considered greater than negative 5. Although 1.3 is a decimal it is still a positive number and positives are worth more than negatives regardless
8 0
3 years ago
Read 2 more answers
Please help!!
LUCKY_DIMON [66]

Answer:

1/110 =.6/x use cross multiplication and multiply

Step-by-step explanation

Your answer is x=66 miles

Hope this helps!!!

Brainliest???

6 0
3 years ago
volume of a cylindrical can of juice is 500cm3 and the diameter of its base is 8 cm find the height of the can of pineapple juic
alekssr [168]

Answer:

Height = 2545.45cm

Step-by-step explanation:

Volume of cylinder = pie r^2 h

500 = 22/7*4*4*h

500*7/22*16 = h

2545.45cm = h

7 0
3 years ago
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