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3 years ago

Which equation describes the line with slope 5 that contains the point ( -1, 4)?

Mathematics

1 answer:

Vikentia [17]3 years ago

5 0

Answer:

Step-by-step explanation:

y - 4 = 5(x + 1)

y - 4 = 5x + 5

y = 5x + 9

the answer is c

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Which is the correct comparison of solutions for 2x + 6 < 10 and -2x + 22 < 18?

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3 years ago

A major baseball diamond is a square with side lengths of 90 feet.

iren2701 [21]

Answer: $\bold{a)\quad 90\sqrt2\qquad \qquad b)\quad 45\sqrt2}$

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

Since you are looking for the distance from home plate to second base, you are actually looking for the length of the diagonal of the square. Use the Pythagorean Theorem: a² + b² = c² where a and b are the side lengths and c is the length of the diagonal.

$90^2+90^2=c^2\\8100+8100=c^2\\16200=c^2\\\sqrt{16200}=c\\\boxed{90\sqrt2}=c\qquad \qquad \text{which is approximately 127.28}\\\\\\\\\text{Halfway between home plate and 2nd base means divide that length by 2:}\\\\\dfrac{90\sqrt2}{2}=\boxed{45\sqrt2}$

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3 years ago

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3 years ago

Read 2 more answers

Express 1400 as a product of its prime factors in index form

exis [7]

Answer:

$2^3 X5^2 X7$

Step-by-step explanation:

Given the number: 1400

A number is said to be prime when it can only be divided by 1 and itself.

We can express 1400 as a product of its prime numbers by gradually decomposing it into smaller units.

$1400=14X100\\14=2X7\\100=10X10=2X5X2X5\\$Therefore:\\1400=2 X 7 X 2 X 5 X 5 X 5\\Reorganising\\1400=2 X 2 X 2 X 5 X 5 X 7\\Therefore, 1400 expressed as a product of its prime factors is:\\1400=2^3 X5^2 X7$

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3 years ago

One cell phone company charges a $76 sign-up fee and $40 per month. Another cell phone company charges $136 sign-up fee and $20

WARRIOR [948]

Answer:

The cost would be same after 3 months.

Step-by-step explanation:

Given that:

Charges of first company;

Per month charges = $40

Let,

x be the number of months

y be the total cost.

y = 40x + 76 Eqn 1

Charges of second company;

Per month charges = $20

y = 20x + 136 Eqn 2

For same cost,

Eqn 1 = Eqn 2

40x + 76 = 20x + 136

40x-20x = 136 - 76

20x = 60

Dividing both sides by 20

$\frac{20x}{20}=\frac{60}{20}\\x=3$

Hence,

The cost would be same after 3 months.

3 0

3 years ago