if x^2+25y^2=416 and x-5y=-16 the value of xy is

a)16
b)8
c)-8
d)-16

Answers

Answer 1

Answer:

(a)

Step-by-step explanation:

Note the expansion of (x - 5y)² is

(x - 5y)² = x² - 10xy + 25y² , that is

(x - 5y)² = x² + 25y² - 10xy ← substitute given values

(- 16)² = 416 - 10xy

256 = 416 - 10xy ( subtract 416 from both sides )

- 160 = - 10xy ( divide both sides by - 10 )

xy = 16 → (a)


Related Questions

What is the perimeter of a quadrilateral with measurements of 19 ft, 10 ft, 17 ft, and 8 ft?

Group of answer choices

Answers

Answer:

54

Step-by-step explanation:

In a survey of 2,700 people who owned a certain type of​ car, 1,485 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car

Answers

Answer:

35%

Step-by-step explanation:

I need hep with the range

Answers

Answer:

[-7, 6]

Step-by-step explanation:

The range is the y values that the equation/line covers.

The line's lowest point is -7 and the line's highest point is 6. The value is defined at both -7 and 10 since there is a closed circle in both locations- so we use brackets.

There are 500 sheets in a pack of paper. 500 sheets of paper weigh 2.5kg.
Work out the weight of 50 sheets of paper.

Answers

Answer:

It's a proportion:

500=2.5

50=x

2.5×50:500=0.25kg

50 sheets weigh 0.25 kg

Step-by-step explanation:

Answer:

0.25

Step-by-step explanation:

the weight of a sheet = 2.5kg/500

the weight of a sheet = 0.005kg

the weight of 50 sheets = 0.005 * 50

the weight of 50 sheets = 0.25kg

OR

since it's a uniform rate

500 sheets = 2.5kg

50 sheets = xkg

then you cross multiply.Having:

500*x = 2.5 * 50

500x = 125

then x = 125/500

x = 0.25

Please please help me answer number 14

Answers

Answer:

A and E is base angle.

B and D is leg.

F is base.

C is vertex angle.

Thank you and please rate me as brainliest as it will help me to level up

Answer:

answer below

Step-by-step explanation:

a base angle

b leg

c vertex angle

d leg

e base angle

f base

Hannah finds that the amount of time she spends studying for her history tests affects her grade on the test. Which statement describes the relationship Hannah is observing?

Answers

Answer:

Step-by-step explanation:

There are not statements. But...

If she studies more her grade is better.

The more she studies, the more her grade goes up.

The less she studies, the more her score goes down.

Just some guesses for you. Match up with your statements.

Hannah is observing he following relation {G} [tex]$\alpha[/tex] {1/T}

What is a mathematical function, equation and expression?          

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is that Hannah finds that the amount of time she spends studying for her history tests affects her grade on the test.

Let the amount of time she spends studying for her history tests is denoted by the variable {T}.

Let her grade is denoted by the variable {G}. So, we can write -

{G} [tex]$\alpha[/tex] {1/T}.

Therefore, Hannah is observing he following relation -

{G} [tex]$\alpha[/tex] {1/T}.

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Yesterday,grace drove 33 / 1/2 miles.She used 1 and 1/4 gallons of gasoline.What is the unit rate for miles per gallon? ​(Simplify your answer. Type an​ integer, fraction, or mixed​ number.)

Answers

Answer:

26 4/5

Step-by-step explanation:

The unit rate for miles per gallon is 26 4/5 gallons

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The number of miles traveled by Grace = 33 1/2 miles

                                                                  = 33.5 miles

Amount of gasoline used by Grace = 1 1/4 gallons

                                                           = 1.25 gallons

Now ,

The unit rate for miles per gallon is calculated as

The unit rate for miles per gallon =
Number of miles traveled by Grace / Amount of gasoline used by Grace

The unit rate for miles per gallon = 33.5 / 1.25

                                                       = 26.8 miles per gallon

Therefore , the unit rate for miles per gallon is 26.8 or 26 4/5 miles per gallon

Hence , the unit rate for miles per gallon is 26 4/5 miles per gallon

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can someone please help me

Answers

Answer:

a. h(t) = 5t + 10

b. 70

c. h(5) = 35 means that in 5 seconds, it will be 35 feet above ground.

Step-by-step explanation:

a. Since the elevator is already 10 feet of the ground, u have to add that in the equation. And since it's 5 feet per second, 5 will be a multiplier so:

h(t) = 5t + 10

b. We have the equation already and in the equation it said that "t" represents the seconds so just replace 1 with 12:

h(12) = 5(12) + 10

h(12) = 60 + 10

h(12) = 70

c. Refer to b that we just did if u will, "t" represents seconds so h(t) becoming h(5) means 5 seconds. So h(5) = 35 means that in 5 seconds, it will be 35 feet above ground.

How do I solve this and check all the solutions?

Answers

Answer:

x = 2

Step-by-step explanation:

(Square both sides)

20 - 8x = x^2

(Solve 20 - 8x = x^2)

x = 2 , x = 10

x = 10 is false, so the answer is x = 2.

Answer:

x=2

Step-by-step explanation:

√20-8x=x

2√5-2x=x (by simplfing redical expression)

4(5-2x)=x^2 (square both side)

20-8x=x^2

20-8x-x^2=0

-x^2-8x+20=0

x^2+8x-20=0

x=2

Note:There is a another answer x=-10 But it's wouldn't fit out with this equation

Jack added 6.5 sales tax to the price, , of a new cell phone. What is another way to find the total cost of the cell phone?

Answers

Anwser:


Well first of all, I would need the original price of the cell phone to calculate this, so yeah

It will take 20 points to make the playoffs, the Hockey Team coach told the players. "We get 2 points for a win and 1 point for a tie." Let be the number of wins and be the number of ties. Write an equation to describe the values of and that will let them make the playoffs.​

Answers

Answer:

[tex]2x+y\geq 20[/tex]

Step-by-step explanation:

Given that total points required to make the playoffs = 20 points

As there is 2 points for a win,

so points earned for x win = 2x

Similarly, as there is 1 point for a tie.

so points earned for y ties = 1[tex]\times[/tex] y= y

Total points earned for x win and y ties = 2x+y

As the team makes the playoff so the total points of the team must be equal to or greater than 20 points (i.e the minimum points to make the playoff), so

[tex]2x+y\geq 20[/tex]

Hence, the required equation is [tex]2x+y\geq 20[/tex].

is (8, -10) a solution to y = 1/4x -4​

Answers

Answer:

no

Step-by-step explanation:

-10= 8(1/4x)-4

-10=2-4

-10=-2

Answer:

To solve in complex number solution, the answer would be: y = -15/4 and in=f needed simplified: 1/4 - 4

Step-by-step explanation:

A litter of puppies had 2 white puppies and 5 brown puppies. What percent of white puppies are in the litter? Round to the nearest whole number

Answers

Answer:

29%

Step-by-step explanation:

0.28571428571 as an approximate percent is 29%. There are 2 white puppies and 7 total puppies(2 white + 5 brown)

Hope this helps!

Answer:

29%

Step-by-step explanation:

0.28571428571 is the original number which makes 29%

Hope this helps! Have a great day :)

If the circumference of a circle and the perimeter of a square are equal, then
(a) Area of circle = Area of the square
(b) Area of circle > Area of the square
(c) Area of circle < Area of the square
(d) Nothing definite can be said about the relation between the areas of the circle and square​

Answers

Answer:

nothing definite can be said and square

Answer:

option no b is correct area of circle>area of square.

Step-by-step explanation:

5. What is the equation of a line that is perpendicular to -x + 2y = 4 and passes through the point (-2,1)?
a.
Write the equation -x + 2y = 4 in slope-intercept form
b. Identify the slope of the line represented in part a.
C.
What is the slope of the line perpendicular to the line in steps a and b?
d. Write the equation of the perpendicular line in slope-intercept form.

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equation

[tex]-x + 2y = 4[/tex]

a) writing the equation in the slope-intercept form

We know that the slope-intercept form of the equation of the line is

[tex]y=mx+b[/tex]

where m is the slope of the line

so writing the equation in the slope-intercept form

[tex]-x + 2y = 4[/tex]

[tex]2y=4+x[/tex]

[tex]y=\frac{1}{2}x+2[/tex]

b) Identify the slope of the line represented in part a

As the equation in slope-intercept form is

[tex]y=\frac{1}{2}x+2[/tex]

Here,

m = slope = 1/2     ∵ [tex]y=mx+b[/tex]

c) What is the slope of the line perpendicular to the line in steps a and b

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

As the slope = 1/2

So the slope of the perpendicular line will be: -2

d. Write the equation of the perpendicular line in slope-intercept form.

Therefore, the point-slope form of the equation of the perpendicular line that goes through (-2,1) is:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

substituting the values m = -2 and the point (-2,1)

[tex]\:y-1=-2\left(x-\left(-2\right)\right)[/tex]

[tex]y-1=-2\left(x+2\right)[/tex]

Add 1 to both sides

[tex]y-1+1=-2\left(x+2\right)+1[/tex]

[tex]y=-2x-3[/tex]

Help with 10 c). Plssss

Answers

Answer: It’s B or E I would go with id say E

Step-by-step explanation:

please someone help asap i will give brainliest

Answers

Answer:

Step-by-step explanation:

c≥ -1.95

[-1.95,∞)

solid circle on -1.95 and go right

Pls I Need Help Fastttt

Answers

Answer:

2

Step-by-step explanation:

Your answer will be (a)

I need help please!!!!

Answers

Answer:

a. 10%

b. 80%

c. 20%

Step-by-step explanation:

Hope this helps!

Sue made a quilt pattern from 16 congruent pieces of cloth shaped like isosceles right triangles. She cut the pieces so that the legs of each triangular piece are 6 inches
long

Answers

Answer:

Option (D)

Step-by-step explanation:

Sue made a quilt pattern comprising 16 congruent isosceles right triangles.

She cuts the pieces of triangle having each leg = 6 inches

By applying Pythagoras theorem in isosceles triangle,

(Hypotenuse)² = (leg 1)² + (leg 2)²

x² = 6² + 6²

x² = 72

x = √72

x = 8.485

x ≈ 8.5

Option (D) will be the correct option

Answer:

The answer is D. (8.5)

Step-by-step explanation:

х- 1, 2, 3 ,4
y-20, 18,-7, -2.
James modeled the data with a linear best-fit equation. Which X-value
has the largest residual?
A 1
B. 2
C. 3
D. 4​

Answers

I think it’s C, good luck

does anyone know how to do this

Answers

is this something along the lines of SSA SAS things like that? i can look back in my notes and see if this is what you’re learning

Elizabeth can type 250 words in 5 minutes. What are the units?
Your answer

Answers

Answer: 50 words per minute

Step-by-step explanation:

250 words per 5 minutes DIVIDE BOTH NUMBERS BY 5

50 words per 1 minute

There are 4 tablespoons in cup. There are 2 cups in 1 pint. How many tablespoons are there in 1 pint?

Answers

Answer:

there are 32 tablespoons in 1 pint .

Step-by-step explanation:

beacause i asked siri .

How could the formula for perimeter be rearranged to find the length of the playground?

Answers

P = 2l + 2w
p - 2w = 2l
l = p-2w/2
It would be the third response

Answer:

The third option

Step-by-step explanation:

the formula is basically reversed, you can check it yourself by giving the W and L fake values then execute the first formula then the second formula and you will receive the value of your length as your answer

355 divided 14 hiksdjkndndf

Answers

Answer:

Rounded to the nearest whole number is 25

Of the 50 students in Mr.Mitchell’s classes, 60% are girls.On Friday, 20% of the girls in the class wore jeans.How many girls wore jeans

Answers

Answer:

6 girls

Step-by-step explanation:

60/100 x 50 = 30

30 girls in class

20/100 x 30 = 6

6 girls are wearing jeans

Solve *
(7 Points)
9a + 28 = 4a +3
A -30
B 20
C 6.2
D -5

Answers

Answer:

D -5

Step-by-step explanation:

9+28−28=4+3−28

9=4−25

9−4=4−25−4

5a=−25

5

=

2

5

5a=-25

5a=−25

5a/5

=−25/5

a=-5

i'll mark you as brainliest ​

Answers

Answer:

y=x-4

Step-by-step explanation:

We can see that x is always 4 times larger than y or y is always 4 times less than x

This means that y=x-4

Answer:

The Answer Is "y = x - 4"

Hope This Helped :)

What is the image of the point (0, -1) after a rotation of 180° counterclockwise
about the origin?

Answers

Step-by-step explanation:

(x,y)=(-x,-y)

(0,-1)=(-0,1)

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