The vertex of this parabola is at (-5, 4). Which of the following could be its
equation?
(-5, 4)

A. y* -(x + 5)2 - 4
B. y = -(x - 5)2 - 4
C. y = -(x - 5)2 + 4
D. y = -(x + 5)2 + 4

Answer:

[tex]\sqrt{122}[/tex]

Step-by-step explanation:

Given that,

Vector n = 4i-j

Vector m = 3i+3j

We need to find the value of m+2n.

Put all the values,

m+2n = (3i+3j)+2(4i-j)

= (3i+3j)+8i-2j

=11i+j

Magnitude of vector,

[tex]|m+2n|=\sqrt{11^2+1^2} \\\\=\sqrt{121+1}\\\\=\sqrt{122}[/tex]

So the correct option is (c).

Answer:

22

Step-by-step explanation:

gcf 56, 120 = 8, 56/8=7, 120/8=15, 7+15=22. 22

Answer:

Sine(45/53)

Step-by-step explanation:

Answer: 4950 cubic centimeters.

Step-by-step explanation:

We know that, the volume of box = Base area x height

Given: area of the base of a box  = 825 sq. centimeters

height = 6 centimeters.

Then, Volume of the box in cubic centimeters = 825 x 6

= 4950 cubic centimeters.

hence, the volume of the box in cubic centimeters = 4950 cubic centimeters.

Answer:

Option P √2.5²-1.2²

Step-by-step explanation:

a = distance between Toby's House and the playground = 1.2 inches

b = distance between the playground and Toby's Friend's House = unknown

c = distance between Toby's House and Toby's Friend's House = 2.5 inches

Use the Pythagorean Theorem to calculate the side length of b:

a²+b²=c²

b²=c²-a²

b=√(c²-a²)

b=√(2.5²-1.2²)

Therefore, option P is correct.

Answer: it is p

Step-by-step explanation:

Answer:

C) [tex]8\sqrt{2}[/tex]

Step-by-step explanation:

Answer:

8√2

Step-by-step explanation:

The 45-45-90 triangle theorem states that the two congruent sides of an isoceles right triangle are the same, and the hypotenuse of the triangle is √2 times more than the common side. So, if the common side is 8, then the hypotenuse is 8√2.

Answer:

formula for diameter is π®

Step-by-step explanation:

π

=22/7×108

=

Answer: 1447600%

Step-by-step explanation: in order to convert number to percentage you’d have to multiply the given number by 100 and then add a percentage sign

Answer:0

Step-by-step explanation:3b(-27 + 9b) = 0

(-27 * 3b + 9b * 3b) = 0

(-81b + 27b2) = 0

Answer:

[tex]b=3[/tex], or [tex]0[/tex]

Step-by-step explanation:

[tex]\mathrm{Using\:the\:Zero\:Factor\:Principle:\quad \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0[/tex]

[tex]b=0\quad \mathrm{or}\quad \:9b-27=0[/tex]

[tex]9b-27=0[/tex], [tex]\mathrm{Add\:}27\mathrm{\:to\:both\:sides}.[/tex]

[tex]9b-27+27=0+27[/tex]

[tex]9b=27[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}9[/tex]

[tex]\frac{9b}{9}=\frac{27}{9}[/tex]

[tex]b=3[/tex]

Answer:

$1,252.13 I believe  or $1,252

Step-by-step explanation:

Multiply the 1500 by .10 and you'll get 150

Now subtract that from 1500 that's 1350

.0725 multiplyed by 1350 is 97.875

Subtract that from 1350 and you'll get the answer!

Answer:

Look at the image.

Step-by-step explanation:

Answer:

Not sure about the second one, but the first is x=44

Answer:

-39.65

Step-by-step explanation:

3 1/4 ⋅ (-12.2)

First, we must change the first fraction to a decimal.

3 1/4 = 3.25.

Now, we just multiply using standard algorithm.

3.25 ⋅ (-12.2) = -39.65.

Anytime you multiply a positive number by a negative number, the answer will ALWAYS be negative.

Answer:

$1.50

Step-by-step explanation:

Divide the 6 dollars by 4 times

$6/4 = $1.50

Answer:

huh

Step-by-step explanation:

Answer:

4/9

Step-by-step explanation:

u just add all the numbers then take the blue pens

Answer:

El mayor número que cumple con las condiciones dadas es 866.622.

Step-by-step explanation:

Para determinar cuál es el mayor número que es menor que 1.000.000, todas sus cifras son números pares y solo el 8 está repetido una vez y termina en 22, se deben realizar los siguientes razonamientos lógicos:

1) Menor que 1.000.000 = Todos los números desde 0 hasta 999.999.

2)Todas sus cifras son números pares = No puede incluir los número 1, 3, 5, 7 o 9.

3) El 8 (mayor número par disponible) solo está repetido una vez = Debe iniciar con 8.

4) Termina en 22 = 8XX.X22

Con todos los datos planteados, el mayor número que cumple con las condiciones dadas es 866.622.

Answer:

4,099 and 5,011 are the numbers whose ones place is 1/10 the value of the digit in the tens place. Step-by-step explanation: 1 : 4,099 - Yes, The digit at the ones place is 9 and the digit at the tens place is 90 (as per place value). So, 9 is one tenth of 90.

Answer:

Gain = $666.67

Step-by-step explanation:

The businessman exchanged 660000 INR to US Dollar using the exchange rate of $1 = INR 110

Value of the money in dollars is;

(660000 × 1)/110 = $6000

Now, Nepali currency is reevaluated by 10%. This means it's value has gone up by 10%.

Thus, exchange rate of $1 is now;

110 - 10%(110) = INR 99

Thus, 660000 INR to US Dollar using this new exchange rate gives;

(660000 × 1)/99 = $6666.67

Therefore he made a gain.

Gain = 6666.67 - 6000

Gain = $666.67

Answer:

15 days

Step-by-step explanation:

Since he used both of the weights today, he will only do both on the day they come together.

weights: 3 days, 6 days, 9 days, 12 days, 15 days

machine: 5 days, 10 days, 15 days

Because the numbers both were the same on 15 days, then that is when he will do both of them

Answer:

b = 15

Step-by-step explanation:

Assuming that the question is referring c as the hypothenuse, the Pythegorean theorem states: [tex]a^2+b^2=c^2[/tex].

Thus, [tex]b=\sqrt{c^2-a^2}=\sqrt{17^2-8^2}=15[/tex].

So b is 15.

Answer: b = 15

Step-by-step explanation:

Here, we need to know the formula for the relationship between the three sides of the right triangle: a² + b² = c².

--------------------------------------------------------------------

Given

a = 8

c = 17

Solve

a² + b² = c²

(8)² + b² = (17)²

64 + b² = 289

b² = 225

b = √225

Hope this helps!! :)

Please let me know if you have any questions

Answer:

178 in.

Step-by-step explanation:

14 5/6 times 12= 178 in.

Answer:

the answer is A

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

the two triangles are the basically the same