What is the value of x? Round to the nearest hundredth.

Answer:

[tex]x=4,y=-3[/tex], or as an ordered pair: (4, -3)

Step-by-step explanation:

We have the system of equations

[tex]x^2+y^2=25[/tex] (1)

[tex]x-y^2=-5[/tex] (2)

Let's solve our system step-by-step:

Step 1. Solve for [tex]y^2[/tex] in equation (1)

[tex]x^2+y^2=25[/tex]

[tex]y^2=25-x^2[/tex] (3)

Step 2. Replace equation (3) in equation (2) and solve for [tex]x[/tex]

[tex]x-y^2=-5[/tex]

[tex]x-(25-x^2)=-5[/tex]

[tex]x-25+x^2=-5[/tex]

[tex]x^2+x-20=0[/tex]

[tex](x+5)(x-4)=0[/tex]

[tex]x+5=0,x-4=0[/tex]

[tex]x=-5,x=4[/tex]

Remember that in the fourth quadrant x is positive and y is negative, so we are taking the positive value of x; in other words [tex]x=4[/tex] (4)

Step 3. Replace equation (4) (the positive value of x) in equation (1)

[tex]x^2+y^2=25[/tex]

[tex]4^2+y^2=25[/tex]

[tex]16+y^2=25[/tex]

[tex]y^2=25-16[/tex]

[tex]y^2=9[/tex]

[tex]y=\sqrt{9} ,y=-\sqrt{9}[/tex]

[tex]y=3,y=-3[/tex]

Since y is negative in quadrant IV, we take [tex]y=-3[/tex]

We can conclude that the solution of our system of equations that lies in the quadrant IV is [tex]x=4,y=-3[/tex], or as an ordered pair: (4, -3)

Answer:

if you type (4,-3) is wrong

Answer:

[tex]A=34\ units^2[/tex]

Step-by-step explanation:

Suppose we have a general triangle like the one shown in the figure.

We know the angle A, the angle B and the length b.

[tex]A = 30\°\\\\B = 45\°\\\\b = 10[/tex]

By definition I know that the sum of the internal angles of a triangle is always equal to 180 °.

So

[tex]A + B + C = 180\\\\30 + 45 + C = 180[/tex]

We solve the equation and thus we find the angle C.

[tex]C = 180 - 30-45\\\\C = 105[/tex]

We already know the three triangle angles.

Now we use the sine theorem to calculate the sides c and a.

The  sine theorem says that:

[tex]\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}[/tex]

Then

[tex]\frac{sin(30)}{a}=\frac{sin(45)}{10}[/tex]

[tex]\frac{sin(30)}{\frac{sin(45)}{10}}=a[/tex]

[tex]a=7.071[/tex]

Also

[tex]\frac{sin(105)}{c}=\frac{sin(45)}{10}[/tex]

[tex]\frac{sin(105)}{\frac{sin(45)}{10}}=c[/tex]

[tex]c=13.660[/tex]

Finally, we use the Heron formula to calculate the triangle area

[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

Where s is:

[tex]s=\frac{a+b+c}{2}[/tex]

Therefore

[tex]s=\frac{7.071+10+13.660}{2}[/tex]

[tex]s=15.37[/tex]

[tex]A=\sqrt{15.37(15.37-7.071)(15.37-10)(15.37-13.66)}[/tex]

[tex]A=34\ units^2[/tex]

Answer:

$28.20

Step-by-step explanation:

Let's set up an equation.

Let b be the cost of a bumper sticker.

Since the sum of the prices of 11 bumper stickers total up to $10.34, we can set up an equation!

11b = 10.34

Dividing by 11 on both sides,

b  = 0.94

Plugging in b into 30b,

30(0.94)

We get

$28.20

Answer:

$28.20

Step-by-step explanation:

First, find out how much each bumper sticker costs.

Assuming that the cost of each bumper sticker is the same, the following equation represents how much one bumper sticker costs

11x =  10.34

Solve for x [divide both sides by 11]

x = 0.94

So, one bumper sticker costs $0.94

Now, find out how many 30 bumper sticker costs.

The following equation represents how much 30 stickers cost.

30x = y

X represents the cost of one sticker and y represents the cost of 30 stickers.

We already know the value of x [one bumper sticker's cost] which is $0.94, so subsitute that in for x.

30[0.94] = y

28.2 = y

So, 30 bumper stickers cost $28.20.

I hope this helps!

Answer:

greater than 67,124

Step-by-step explanation:

since you are multiplying 67,124 with a variable(x) and multiplication only increases the value, the answer is greater than since you are multiplying 67,124 with a variable, which will only increase  the product value

Answer:

C.Ralph would save more, since he has $30,000 more in principal

Step-by-step explanation:

The amount of interest each will pay (or save) on his loan is proportional to the amount of principal. Since Ralph's principal of $98000 is more than David's principal of $68000, Ralph will save more by paying off the loan early.

Answer:

3 out of 51

Step-by-step explanation:

If he removed one number two card from the deck then there should be three left since there are 4 of each number card in a deck so therefore there should be 51 cards in the deck but only three number two cards left in the deck

The probability of drawing a number two card from a 52-card deck after removing all four number two cards is 0, as there are no such cards left to draw.

Calculating the Probability of Drawing a Number Two Card

If John removes the number two card from a standard 52-card deck, the deck then has 48 cards because there are 4 number two cards, one in each suit (clubs, diamonds, hearts, and spades). Since these cards are no longer in the deck, the probability of picking up a number two card at random from the remaining deck is 0, as there are no number two cards left to draw.

Initially, the probability of drawing a two card from a full deck would be 4 out of 52 cards or 1 out of 13, as there are 4 twos in the set of 52 cards. However, with the removal of all four number twos, there are no such cards left, hence the probability of drawing a two is reduced to 0.

Understanding probability in a deck of cards is a fundamental concept in statistics and probability theory, which can be applied to various practical situations including games and predictive models.

Answer:

B

Step-by-step explanation:

The red graph is the graph of the parent function [tex]F(x)=x^2.[/tex]

The blue graph is the red graph translated 4 units to the right.

Rule of translation a units to the right:

[tex]G(x)=F(x-a).[/tex]

Then the function with blue graph has expression:

[tex]G(x)=(x-4)^2.[/tex]

Answer:

The position P is:

[tex]P = 87\^x + 75\^y[/tex] ft     Remember that the position is a vector. Observe the attached image

Step-by-step explanation:

The equation that describes the height as a function of time of an object that moves in a parabolic trajectory with an initial velocity [tex]s_0[/tex] is:

[tex]y(t) = y_0 + s_0t -16t ^ 2[/tex]

Where [tex]y_0[/tex] is the initial height = 0 for this case

We know that the initial velocity is:

82 ft/sec at an angle of 58 ° with respect to the ground.

So:

[tex]s_0 = 82sin(58\°)[/tex] ft/sec

[tex]s_0 = 69.54[/tex] ft/sec

Thus

[tex]y(t) = 69.54t -16t ^ 2[/tex]

The height after 2 sec is:

[tex]y(2) = 69.54 (2) -16 (2) ^ 2[/tex]

[tex]y(2) = 75\ ft[/tex]

Then the equation that describes the horizontal position of the ball is

[tex]X(t) = X_0 + s_0t[/tex]

Where

[tex]X_ 0 = 0[/tex] for this case

[tex]s_0 = 82cos(58\°)[/tex] ft / sec

[tex]s_0 = 43.45[/tex] ft/sec

So

[tex]X(t) = 43.45t[/tex]

After 2 seconds the horizontal distance reached by the ball is:

[tex]X (2) = 43.45(2)\\\\X (2) = 87\ ft[/tex]

Finally the vector position P is:

[tex]P = 87\^x + 75\^y[/tex] ft

Answer:

f(2)=6

Step-by-step explanation:

f(x) = |x – 5| + 3 and find f(2). We plug in 2 for x

f(2) = |2 – 5| + 3

f(2) = |-3| + 3 absolute value makes the number inside positive

f(2)= 3+3

f(2)= 6

Answer:

No,yes,yes,no,yes

Step-by-step explanation:

Answer:  False

Step-by-step explanation:

{2, 3, 6, 8, ... } is tending toward infinity, but the terms are increasing - not alternating.

Answer:

Step-by-step explanation:

4 (10)

5 (13)

6 (16)

7 (19)

Answer:

On the first picture

1 goes to 16.

2 goes to 13

3 goes to 10

4 goes to 19

On the second picture

1 goes to 9

2 goes to 11

3 goes to 13

4 goes to 15

Answer:

32 with 11 handkerchief left over

Step-by-step explanation:

Handkerchief = 811

Quits for 1 handkerchief = 25

Number of quits

= 811 ÷ 25

= 32 Remainder 11

Answer:

32 reminder of 11

Step-by-step explanation:

Answer:

x^(4)+2x^(2)y^(2)+y^4)

Hope This Helps!  Have A Nice Day!!

The binomial expansion of (x²+y²)² is x⁴ +y⁴ + 2x²y²

The theorem states that any power of a binomial (a + b)ⁿ can be expanded as a specific sum of products (), such as (a + b)² = a² + 2ab + b².

Given

The given expression is (x² + y²)² and we have to simplify it to find the binomial expansion.

(x ²+ y²)² is in the form of (a + b)².

When we expand (a + b)² we get the binomial expression

(a + b)² = a² + b² + 2ab

Now we put the value of a = x² and b = y²

(x² + y²)² = (x²)² + (y²)² + 2(x²)(y²)

              = x⁴ + y⁴ + 2x²y²

To know more about binomial expansion refer to :

https://brainly.com/question/13672615

#SPJ2

Answer:

Yes, because the total will be $37.50

(cool profile pic)

Step-by-step explanation:

Yes, because the total will be $37.50

if we take 64 to be the 100%, how much is 6¼% off of it?

[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 64&100\\ x&6\frac{1}{4} \end{array}\implies \cfrac{64}{x}=\cfrac{100}{6\frac{1}{4}}\implies \cfrac{64}{x}=\cfrac{\frac{100}{1}}{\frac{25}{4}}\implies \cfrac{64}{x}=\cfrac{100}{1}\cdot \cfrac{4}{25} \\\\\\ \cfrac{64}{x}=16\implies 64=16x\implies \cfrac{64}{16}=x\implies 4=x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{it had}}{64}-\stackrel{\textit{leakage}}{4}\implies \stackrel{\textit{remaining}}{60}[/tex]

Answer:

60 gallons of gas remained in the tank.

Step-by-step explanation:

1) 6 1/4 = 6.25

2) 64*6.25% = 4 OR 64*6 1/4 = 4

3) 64 - 4 = 60

Answer:

16 beta fish

Step-by-step explanation:

Take the starting number of fish: 25, and subtract it by the number of fish being taken away: 9.

Answer:

16

Step-by-step explanation:

if we have 25 bettas and then 9 were taken that means we should subtract 9 from 25 to get 16 bettas left

Answer:  I Believe the company made $15,480.00

Step-by-step explanation:

Because .....

6% × 258,000= 15.48

Then, you would add all the zeroes and your answer will be $15,480.00.

* Hopefully this helps:)

~ Mark me the brainliest:)!!

#1 : reflected over y-axis, so x changes signs and becomes negative (-5, -2)

translated 4 units up, so move the point up 4 units/squares  (-5, 2)

#2 translated right 10 units, so the points move right 10 squares (15, -2)

reflected over x-axis, so y changes signs (15, -2)

#3 translated left 10 units (-5, -2)

up 4 units (-5, 2)

#4 reflected over the y -axis (-5, -2)

translated down 4 units (-5, -6)

Answer:

1 and 3

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

We know that the interior angle measures of a triangle are 180, and we are told that this is a right triangle.

Since we know the measure of two angles, we just have to do basic math:

180=90+70+x

solve for x (which equals 20) to get the measure of your acute angle

Final answer:

In a right triangle with one acute angle measuring 70 degrees, the measure of the other acute angle is 20 degrees, as the sum of all angles in a triangle is 180 degrees.

Explanation:

The sum of the angles in any triangle is always 180 degrees. In a right triangle, one of the angles is always 90 degrees, which is the angle that makes it "right." If a right triangle has one acute angle that measures 70 degrees, to find the measure of the other acute angle, we subtract the known angles from 180 degrees:

180 degrees (total in a triangle) - 90 degrees (right angle) - 70 degrees (given acute angle) = 20 degrees.

Therefore, the measure of the other acute angle in the triangle is 20 degrees.

Answer:2

Step-by-step explanation:

Answer:

Its 3

Step-by-step explanation:

10- 4 = 6

2 x ? = 6

2 x 3 = 6

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Given a complex number x + yi then the conjugate is x - yi

Note the real part remains unchanged while the sign of the imaginary part is negated.

here z = 1 - 2i hence conjugate is 1 + 2i

and the product is

(1 - 2i)(1 + 2i) ← expand factors

= 1 - 4i² [ i² = - 1 ]

= 1 + 4

= 5

The product of z and its conjugate will be 5.

The complex number is the combination of the real part and the imaginary part. Then the complex number is given as

⇒ a+bi

In the graph, z is a complex number represented as a vector from the origin.

Then the complex number will be

z = 1 – 2i

Then the conjugate of z will be

⇒ 1 + 2i

Then the product of z and its conjugate will be

⇒ (1 – 2i)(1 + 2i)

⇒ 1² – 2²i²

We know i² = -1

⇒ 1 – 4(-1)

⇒ 1 + 4

⇒ 1² – 2²i²

⇒ 5

More about the complex number link is given below.

https://brainly.com/question/10251853

#SPJ2

The equation x = 3 represents a vertical line, but not a linear function, as it violates the definition of a function. Thus, the correct choice is D.

The equation x = 3 describes a vertical line passing through the point where x equals 3 on the coordinate plane.

While it represents a line, it fails to meet the criteria of a function because it violates the one-to-one mapping between inputs (x-values) and outputs (y-values).

For every value of x, the y-value remains constant at 3, meaning multiple x-values map to the same y-value, thus failing the vertical line test for functions.

Therefore, although it represents a line, it does not represent a linear function. Thus, the correct choice is D.

Complete Question:

Which statement best describes the equation x = 3?

A. The equation can not be graphed.

B. The equation represents a function, but not a linear function.

C. The equation represents a linear function.

D. The equation represents a line, but not a linear function.

Answer:

Step-by-step explanation:

First triangle is a 45-45-90 triangle.  In most basic form, the two equal sides have length 1 and the hypotenuse has length √2.  Do not write x√2.

Second triangle:  The shortest side is 1, the longer side is √3 and the hypotenuse is 2.  You could verify this using the Pythagorean Theorem:

2² = 1² + (√3)² is true.

Please, no more than 2 problems per post.  Please re-post the remaining problems and either I or someone else will help you with them.

Answer:

Step-by-step explanation:

Ok so first we need to look and rule out the ones that are not correct like 9m and 5m. ok now we ruled out 2 of the wrong ones and now we have 90m and it looks like a 45m. now we multiply 5 x 2 x 9 which equals 90. so the answer is 90.

                        Hope it helps!

Answer:

45

Step-by-step explanation:

with triangles you have to do base times height and divide by 2 so 5*9*2=90 and 90 divided by 2 is 45

Answer:

It will shift down 6 units.

ANSWER

B) It will shift down 6 units.

EXPLANATION

The given function is

y=15x+2

We want to find how the graph of this function will change if the function is transformed to

y=15x-4

We rewrite this function in terms of the first one to get:

y=15x+2+-6

Hence the function with shift down 6 units.

Answer:

190,208

Step-by-step explanation:

732,178 + 167 = 732345

732345 -  542,137 = 190,208

190,208

Step by Step

732178+167=732345

732345-542137=190208

Answer:

3(x-4)

Step-by-step explanation:

Answer: 3(x-4)

Step-by-step explanation:

Hii! Do you need to factor the expression 3x-12? No problem! (:

Note that both terms have something in common; it's known as the greatest common factor, or g.c.f.

The g.c.f. of 3x and -12 is 3, so we divide both 3x and -12 by 3.

We obtain

x-4

Now we put parentheses around x-4.

(x-4)

Next, we put 3 (the number we factored out) outside these parentheses.

3(x-4)

Voila! There's our answer, cheers!

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Hope that this helped! Best wishes.

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Answer:

5.5 miles per day

Step-by-step explanation:

To divide an amount equally over 4 days, use the division operation. Divide 22/4 = 5.5.