[tex]x-5=y, xy+4=0,[/tex] then what is [tex]4x^{2} +4y^{2}[/tex]

Answers

Answer 1

Answer:

68

Given:

x - 5 = y  ........ eq 1xy + 4 = 0   ...... eq 2

Substitute equation 1 into 2

x(x - 5) + 4 = 0x² - 5x + 4 = 0x² - 4x - x + 4 = 0x(x-4) -1(x-4) = 0(x-4)(x-1) = 0x = 1, 4

Find y:

y = x - 5

y = 1 - 5     (when x is 1)

y = -4

========

y = x - 5

y = 4 - 5        (when x is 4)

y = -1

Then 4x² + 4y²:

4(1)² + 4(-4)²4 + 6468
Answer 2

Answer:

68

Step-by-step explanation:

[tex]\textsf{Equation 1}:\:x-5=y[/tex]

[tex]\textsf{Equation 2}:\:xy+4=0[/tex]

Substitute Equation 1 into Equation 2:

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

[tex]\implies x^2-5x+4=0[/tex]

Factorize:

[tex]\implies (x-1)(x-4)=0[/tex]

Therefore:

[tex]x=1, x=4[/tex]

Substitute found values of [tex]x[/tex] into Equation 1 and solve for [tex]y[/tex]:

[tex]x=1\implies 1-5=-4[/tex]

[tex]x=4\implies 4-5=-1[/tex]

Substitute found values into [tex]4x^2+4y^2[/tex] and solve:

[tex]\textsf{For}\:(1,-4)\implies 4(1)^2+4(-4)^2=68[/tex]

[tex]\textsf{For}\:(4,-1)\implies 4(4)^2+4(-1)^2=68[/tex]

Note:  As [tex]4x^2+4y^2[/tex], the values of x and y can be interchanged, so no need to input both sets of ordered pairs into the equation to solve.


Related Questions

Help a fella out :)))))))

Answers

Answer:

5280 ft/1 mi, 1848 ft

Step-by-step explanation:

Whatever unit is given on the top (miles), you will write it on the bottom of the second fraction. Since we are solving for length in feet, we know that the numerator will be in feet. The only answer choice that has this option is 5280 ft/ 1 mi. You can check this math by taking 0.35 of 5280 feet, or 1 mile = 1848 ft.

[tex]\frac{0.35 mi}{1} *\frac{?ft}{?mi}[/tex]

[tex]\frac{0.35 mi}{1} *\frac{5280 ft}{1mi}[/tex]        (miles cancels out, left with feet)

[tex]\frac{1848ft}{1}[/tex]

1848 feet

I hope this helps!

Peter is saving to buy a new skateboard. He deposits the same amount each week into his savings account. How much money does he save each week?

Week Money in Savings Account
0 $12.00
1 $17.75
2 $23.50
3 $29.25

Answers

The saves 5.75 dollars each week

A bus makes a stop at 2:30, letting off 13 people and letting on 5. The bus makes another stop ten minutes later to let off 3 more people. How does the number of people on the bus after the second stop compare to the number of people on the bus before the 2:30 stop?

Answers

Answer:

net loss of 10

Step-by-step explanation:

stop 1 :

13 off

5 on

7 net loss

stop 2 :

3 off

3 net loss

total net loss = 3+10

=10

find the inverse of function of a function g=((a,1),(b,2),(2,3),(d,4))​

Answers

Answer:

g inverse = (1,a),(2,b),(c,3),(4,d)

Step-by-step explanation:

I think the third part of the question should be (c,3) not (2,3)

if it's (2,3) then the inverse becomes (3,2)

Answer:

Inverse of function g = {(1,a),(2,b),(3,2),(4,d)}

Step-by-step explanation:

Hey there! :)

Please see an explanation below for better understanding to the answer - also let me know if you have any questions!

What is Inverse Function?

Inverse Function is a function that swaps domain and range.

What are domain and range?

Domain is the set of all x-values while Range is the set of all y-values, can be defined in coordinate point as (x,y).

Steps

If (x,y) is an original function then (y,x) will be an inverse function of original.

We are given the function g = {(a,1),(b,2),(2,3),(d,4)} - swap the domain and range.

Therefore, the inverse of function g is [tex]\displaystyle \large{g^{-1}}[/tex] = {(1,a),(2,b),(3,2),(4,d)}

What is the area of this figure?

Answers

The are of the figure is 119 cm^2

Answer:

  119 cm²

Step-by-step explanation:

The area of a composite shape can be found by dividing it into shapes whose area formulas you know.

__

Here, the shape can be divided into 3 rectangles by extending the vertical lines through the figure. Left to right, those rectangles are ...

  2 wide × 17 hign ⇒ area = (2 cm)(17 cm) = 34 cm²

  10 wide × 7 high ⇒ area = (10 cm)(7 cm) = 70 cm²

  5 wide × 3 high ⇒ area = (5 cm)(3 cm) = 15 cm²

Then the total area is ...

  (34 +70 +15) cm² = 119 cm²

Distribute to create an equivalent expression with the fewest symbols possible.
6(3c - 5d + 6) =6(3c−5d+6)=6, left parenthesis, 3, c, minus, 5, d, plus, 6, right parenthesis, equals

Answers

Using the distributive property, it is found that the equivalent expression is:

18c - 30d + 36

What is the distributive property?

It is a property that the outside term multiplies each of the inside terms.

In this problem, the expression is:

6(3c - 5d + 6).

Hence, we apply the property, with the outside term 6 multiplying each of the inside terms, hence the equivalent expression is given by:

6(3c - 5d + 6) = 18c - 30d + 36.

More can be learned about the distributive property at https://brainly.com/question/2807928

PQRS is a rectangle and OS = 16. Find the blanks below:
mments
ssions
S
R
es
le
О
s
bus
P
O
zes
dules
OQ =
16
BlueButton
aborations
PR =
ogle Drive
uce 365
mZQRS =
ogle Drive

Answers

Answer: 48

Step-by-step explanation:

the net of a square pyramid and its time engines are shown in the diagram what is the lateral surface area in square feet?
A 960
B 336
C 240
D 192​

Answers

The answer is C
Explanation it’s C

Answer:

c

Step-by-step explanation:

Use substitution to solve the system.
Y=2x+11 5x+2y=-14

X=

y=

Answers

Answer:

x = -4, y = 3

Step-by-step explanation:

1. Substitute 2x + 11 for y:

5x + 2(2x + 11) = -14

2. Simplify:

2(2x) = 4x
4x + 5x = 9x, 2(11) = 22
so,

9x + 22 = -14

3. Isolate x:

9x + 22-22 = -14-22 = 9x -36

9x/9 = -36/9

x = -4

4. Plug in the value of x in to solve for y:

y = 2(-4) + 11

y = 3

hope this helps!

PLEASE HELP!!!! 20 POINTSSSS!!!!!!!!!!
I WOULD MARK BRAINLIEST!!!!!!!!!!!!!!

Answers

Answer:

a=b sinα

sinβ=5·sin(22°)

sin(119°)≈2.14154

a=b sinα

sinβ=12·sin(48°)

sin(42°)≈13.32735

Step-by-step explanation:

I think this is correct but i am most likely wrong, Im not that great at math

Answer:

( SOLVE FOR h )

Step-by-step explanation:

THE FORMULA:

a = b [tex]\frac{sin A}{sin B}[/tex]

---------

b = 12

sin a = 48

sin B = 42

--------

12 × [tex]\frac{sin 48}{sin 42}[/tex]

ANSWER =

h = 13.33

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

SOLVE FOR x AND y

I'M NOT SURE.......

x = 2.14

b = 5

I have a couple of questions I need help with.

This is a multiple answer question:
A) Is 120.2 + 20.03 < 120.003 + 20.20 correct?
B) Is 22 + 7.6 = 20 + 9.600 correct?
C) Is 100.002 + 8.503 > 98 + 10.5 correct?
D) Is 72.2 + 82.3 < 70.6 + 84.1 correct?

any help will be much appreciated

Answers

Answer:

b

Step-by-step explanation:

b is correct i think

2

Question 17 of 25
After being rearranged and simplified, which equation cannot be solved using
the quadratic formula?
O A. 5x2 – 3x+ 10 = 2x2
B. 2x2 – 3x + 10 = 2x2 + 21
-
O c. x2 - 6x- 7 = 2x
O D. 2x - 4 = 2x2
SUBMIT

Answers

Answer:

B. 2x2 – 3x + 10 = 2x2 + 21

Step-by-step explanation:

2x2 – 3x + 10 = 2x2 + 21

Subtract 2x^2 from each side

2x2- 2x^2 – 3x + 10 = 2x2 + 21-2x^2

-3x+10 = 21

This is a linear equation and does not use the quadratic equation to solve

-

i’m confused … i need helo

Answers

there are no solutions since the lines are parallel
There will be no solution because the lines are not touching each other

3. What is the angle of rotation for the following figure?

45°

60°

90°

120°​

Answers

Answer:

45°

360÷8= 45

Mark me brainliest.

(- 18) × (- 5) × (- 4) =

Answers

Answer:

−360

Step-by-step explanation:


Find the value of x
A. 8
B. 4
C. 19
D. 24

Answers

Hello There!!

Given figure is a parallelogram

To Find

Value of"x"

Solution

[tex]m \angle \: A = m \angle \: C[/tex]

[tex]2x + 35 = 5x - 22[/tex]

[tex] \implies 2x - 5x = - 22 - 35 \div \\ \implies - 3x = - 57 \\ \\ \implies x = \frac{ - 57}{ - 3} \\ \\ \implies x = \cancel\frac{ - 57}{ - 3} \\ \\ \implies x = 19[/tex]

[tex]\therefore \text{Option C= 19 is the correct answer}[/tex]

Hope this helps

Round of to the numbers as indicated:

1. 48521
To nearest 10:
To nearest 100:
To nearest 1000:

1. 674502
To nearest 10:
To nearest 100:
To nearest 1000:

3. 3875
To nearest 10:
To nearest 100:
To nearest 1000:

Answers

Answer:

See below.

Step-by-step explanation:

1. 48521

To nearest 10:    48520

To nearest 100:    48500

To nearest 1000:     49000   (8 goes up to 9 becasue of the 5)

1. 674502

To nearest 10:     674500

To nearest 100:       674500

To nearest 1000:        675000

3. 3875

To nearest 10:       3880

To nearest 100:         3900

To nearest 1000:           4000

1. 48521

To nearest 10:

= 48520

To nearest 100:

= 48500

To nearest 1000:

= 49000

1. 674502

To nearest 10:

= 674500

To nearest 100:

= 674500

To nearest 1000:

= 676000

3. 3875

To nearest 10:

= 3880

To nearest 100:

= 3900

To nearest 1000:

= 4000

(if the number your rounding is higher than 5, round the number up)


Can you help me with this problem please

Answers

Answer:


7 units



Explanation :


Check out my work that I’ve attached



Let me know if you have any questions!


Have a nice rest of your day :)

please need help on = 0.35+0.6+____= 1

Answers

Answer:

0.59

Step-by-step explanation:

0.59 I think if I'm wrong correct me.

i know this is probably simple but ive forgotten how to do it and i cant find it in my notes help appreciated!

Answers

Answer:

This is pythagoras

A squared plus b squared equals c squared.

The unknown side is c as its the hypotenuse,

So the length of the first side is 6.4 this squared = 40.96

The other length is 12 as 6 is the radius so the diameter of the circle amd therfore the length of the triangle is 12.

12 squared is 144

144 + 40.96 = 184.96

The length of c squared is 184.96

To find the length of c alone we calculate the square root.

The square root of 184.96 = 13.6

? = 13.6

What is the area of parallelogram rstu? 21 square units 24 square units 28 square units 32 square units

Answers

The area of the considered parallelogram RTSU is given by: Option A: 21 sq. units

How to find the area of a parallelogram?

Area of a parallelogram  = (its height × its base) sq. units.

What is the distance between two points ( p,q) and (x,y)?

The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units[/tex]

For this case, the missing diagram is attached below.

If we take the base as ST then as ST is parallel to y axis, the line perpendicular to ST would be parallel to x axis. The heigth of a parallogram  is the perpendicular distance between its base and top.

The base is ST and top is RU, the line segment US is perpendicular to both RU and US and its length,therefore, will serve as height as its length=perpendicular distance between the base and the top of the parallelogram.

Thus, we get:

Area of RTSU = Length of ST × Length of US

The coordinates of endpoints of ST are (4,-1), (4,-4)

Thus, the length of ST = distance between S and T = [tex]\sqrt{(4-4)^2 + (-1 - (-4))^2 }= 3[/tex]

The coordinates of endpoints of US are (-3,-1), (4,-1)

Thus, the length of US = distance between U and S = [tex]\sqrt{(-3-4)^2 + (-1 - (-1))^2 }= 7[/tex]

Thus, Area of RTSU = Length of ST × Length of US = 3 × 7 = 21 sq. units.

Thus, the area of the considered parallelogram RTSU is given by: Option A: 21 sq. units

Learn more about distance between two points here:

brainly.com/question/16410393

Answer:

21 square units I think

Step-by-step explanation:

3(x+ 7) = -12
x + 7 =
X =

Answers

Answer:

x = - 11

x + 7 = -4

Step-by-step explanation:

[tex]3(x + 7) = - 12 [/tex]

Multiply each term in parentheses by 3

[tex]3x + 3 \times 7 = - 12[/tex]

Multiply 3 and 7

[tex]3x + 21 = - 12[/tex]

Move the constant to the right side and change the sign

[tex]3x = - 12 - 21[/tex]

Find the sum of negative numbers

[tex]3x = - 33[/tex]

Divide both side by the same number

[tex]x = - 11[/tex]

= x + 7

= -11 + 7

Add the term - 11 + 7

= -4

Hey ! mate

Answer:

x + 7 = -4

x = -11

Step-by-step explanation:

In this question we have given an equation that is 3( x + 7 ) = -12 and we have asked to find the value of x + 7 and x .

We are starting our solution from here :

[tex] \longmapsto \: 3( x + 7 ) = -12 [/tex]

Transposing 3 to right hand side :

[tex] \longmapsto \: x + 7 = \frac{ - 12}{3} [/tex]

Now , dividing -12 by 3 :

[tex] \longmapsto \: \blue{\boxed{x + 7 = -4}}[/tex]

Therefore , value of x + 7 is - 4 .

Now ,

[tex] \longmapsto \:x + 7 = - 4[/tex]

Transposing 7 to right hand side :

[tex] \longmapsto \:x = - 4 - 7[/tex]

[tex] \longmapsto \: \blue{ \boxed{x = - 11}}[/tex]

Therefore , value of x is -11 .

#Keep Learning

Here's the rest of the questions

Answers

Answer:

A us right of first one and d is the right of another one

Question 9 is option 1 is correct
Question 10 is A4=8192
Question 11 is option 3 correct

What is the measure of the unknown angle?
A 64°
B 76°
C 83°
D 87°

Answers

Answer:

D, 87 is the answer

Step-by-step explanation:

360 is a full circle so subtract 360 to 273 and its 87 hope this helps! :)

Answer:

d

Step-by-step explanation:

What is the measure of < B?

Answers

Answer:

C) 55

Step-by-step explanation:

One of the angles is given, which is 35. This is a right triangle because there is a square next to angle C, meaning it is 90 degrees. You subtract both of these values from the degree of a triangle, 180, which will leave you with 55.

Answer:

55

Step-by-step explanation:

Given: 35 degrees and 90 degrees

The total degrees of a triangle is 180

180 - 35 - 90 = 55

25(q-954)=775 what is q?

Answers

Answer:

The value of q = 985

Step-by-step explanation:

==> 25(q-954)=775

=> q-954 = 775/25

=> q-954 = 31

=> q = 31+ 954

=> q = 985

Answer:

q = 985

Step-by-step explanation:

25 (q-954) = 775

q-954 = 775/25

q = 31 + 954

q = 985

What is the radius and diameter of 4.2

Answers

Radius and Diameter of a Circle

The radius of a circle is the length between a circle's centre and edge.

The diameter of a circle is its radius doubled.

Solving the Question

The given diagram tells us the radius is 4.2 cm.

To solve for the diameter, multiply the given radius by 2:

4.2 × 2 = 8.4

Therefore, the diameter of the circle is 8.4 cm.

Answer

Radius: 4.2 cm

Diameter: 8.4 cm

hegarty maths angles


Given that A, O & B lie on a straight line segment, evaluate acute ∠COD.

Answers

Check the picture below.

Look At the picture I am not sure how to calculate the area

Answers

Answer:

height = 5.33 m (nearest hundredth)

area of wall = 41.66 m² (nearest hundredth)

Step-by-step explanation:

To find the height of A above the ground, find the height of the triangle and add it to the height of the rectangle.

The dashes on the sides of the triangle mean they are equal in length. Therefore, this triangle is an isosceles.  If we draw a line down the center of the triangle to create 2 right triangles, their top angles will be 65° (half of 130°) and they will each have a base length of 5 m (see attached diagram).

To find the height, use the tan trig ratio:

[tex]\sf tan(\theta)=\dfrac{O}{A}[/tex]

where:

[tex]\theta[/tex] = angleO = side opposite the angleA = side adjacent to the angle

Given:

[tex]\theta[/tex] = 65°O = 5 mA = h

[tex]\sf \implies tan(65)=\dfrac{5}{h}[/tex]

[tex]\sf \implies h=\dfrac{5}{tan(65)}[/tex]

[tex]\sf \implies h=2.331538291...[/tex]

Therefore, the height of A above the ground:

⇒ height = 3 + 2.331538191 = 5.33 m (nearest hundredth)

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

To find the area of the wall, sum the area of the rectangle and the area of the triangle.

Area of rectangle = width x height

                              = 3 x 10

                              = 30 m²

Area of triangle = 1/2 x base x height

                          = 1/2 x 10 x 2.331538191

                          = 11.65769145 m²

Total area of wall = 30 + 11.65769145 = 41.66 m² (nearest hundredth)

selected value of each decimel number when it is rounded to the nearest whole number ​

Answers

Answer:

5665

Remember the decimal hundredths rounding ruleset.

If a decimal is below .50, round down.If a decimal is .50, round up.If a decimal is above .50, round up.

View this array below to get a better image.

[tex]\left[\begin{array}{ccc}0.49(down)&0.50(up)&0.51(up)\end{array}\right][/tex]

So, for example, if you had 6.51, you would round that up to 7, and if you had 8.47, you would round that to 8

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