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3 years ago

21) Solve x2 - 13x - 30 = 0 by factoring.

Mathematics

2 answers:

stepan [7]3 years ago

7 0

Answer:

x=15 or x=-2

Step-by-step explanation:

x^2-13x-30=0

First find the multiples of 30 that will also equal to 13.

6*5=30 ,15*2=30 and 10*3=30

x^2-15x+2x-30=0
x(x-15)+2(x-15)=0
(x-15)(x-2)=0
x-15=0 or x+2=0
x=15 or x=-2

stellarik [79]3 years ago

3 0

Answer:

x= 15, -2!!!!!!!!!!!!!!

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A car travels at constant speed for 7 days and covers 1500 miles. What is the speed in centimeters/minute? You may use the (appr

zvonat [6]

Answer:

Speed = 23809.52 cm/min

Step-by-step explanation:

Given : A car travels at constant speed for 7 days and covers 1500 miles.

To find : What is the speed in centimeters/minute

Solution : Formula to find speed is

$\text{Speed}=\frac{\text{Distance}}{\text{Time}}$

Distance traveled = 1500 miles and time taken = 7 days

$\text{Speed}=\frac{\text{1500 miles}}{\text{7 days}}$

Now, we have to convert miles into centimeter and days into minutes.

1 day = 24 hours

1 hour= 60 minute

24 hr= 24×60 minute

1 day = 24×60 minute

7 days = 7×24×60 minute = 10,080 minute

Now, 1 mile = 8/5 km = 1.6 km

1 km= 100000 cm

1.6 km = 1.6 × 100000 cm

1 mile = 1.6 × 100000 cm

1500 miles = 1500×1.6 × 100000 cm = 240,000,000 cm

Put back the values into speed

$\text{Speed}=\frac{\text{1500 miles}}{\text{7 days}}$

$\text{Speed}=\frac{\text{240,000,000 cm}}{\text{10,080 minute}}$

$\text{Speed}=\text{23809.523 cm/minute}$

Therefore, speed = 23809.52 cm/min

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3 years ago

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939miles * 15gallons / 40miles = x

pantera1 [17]

Answer: 281.7

Step-by-step explanation:

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3 years ago

Rebekah manages a yoga studio that charges each customer a one-time initial fee of $35 and an additional fee of $12 per class ta

Maru [420]

Answer:

Inequality: 12c + 35 ≥ 100

Minimum number of classes per customer: 6

Step-by-step explanation:

12c + 35 ≥ 100

- 35 -35

12c ÷ (12) ≥ 65 ÷ (12)

c ≥ 5.4 (so 6)

Hope this helps good luck!

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3 years ago

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The first person to solve tgis will receive brainliest. 2x-3=8

Nastasia [14]

$\longrightarrow{\green{x\:=5.5}}$

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}$

$2x - 3 = 8 \\ \\⇝2x = 8 + 3 \\ \\⇝2x = 11 \\ \\⇝x = \frac{11}{2} \\ \\⇝x = 5.5$

<h3><u>To </u><u>verify</u>:-</h3>

$2x - 3 = 8 \\ \\ ➪ \: 2 \times 5.5 - 3 = 8 \\ \\➪ \: 11 - 3 = 8 \\ \\➪ \: 8 = 8 \\ \\ ➪ \: L.H.S.=R. H. S$

Hence verified. ✔

$\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}$

6 0

3 years ago

A is the point (70, -80) and B has coordinates (-58, 48) what is exact length of AB

Nina [5.8K]

Answer:

$128\sqrt{2}$ units

Step-by-step explanation:

We are given;

Coordinates of A (70, -80)
Coordinates of B (-58, 48)

We are required to calculate the length of AB

To determine the length of AB we are going to use the formula for getting magnitude;
Given, coordinates (x₁, y₁) and (x₂, y₂), then

Magnitude =√((x₂-x₁)²+(y₂-y₁)²)

Therefore;

Length = $\sqrt{((48+80)^{2} +(-58-70)^2})$

= $\sqrt{16384+16384}$

= $\sqrt{16384*2}$

= $\sqrt{16384} *\sqrt{2}$

= $128\sqrt{2}$

Therefore, the exact length of AB is $128\sqrt{2}$ units

3 0

3 years ago