The side of a square has the length (x-2), while a rectangle has a length of (x-3) and a width of (x+4). If the area of the rectangle is twice the area of the square, what is the sum of the possible values of x? I CAN'T ACCESS A FILE SO PLEASE JUST LOOK AT THE PICTURE YOURSELF, AND THEN TELL ME. THANKS!

Answers

Answer 1

Answer:

Sum = 4 + 5 = 9

Step-by-step explanation:

Equation

2*(x - 2)(x-2) = (x - 3)(x + 4)

Solution

2*(x^2 - 4x + 4) = x^2 + 4x - 3x - 12

2x^2 - 8x + 8  = x^2 +x - 12                     Subtract the right side from the left

x^2 - 9x + 20 = 0

(x - 4)(x - 5) = 0

The possible values for x are

x - 4 = 0

x = 4

x - 5 = 0

x = 5

Check

(4 - 2)^2 = (4) = 4

(x - 3)(x + 4) = (4 - 3)(8) = 8

This checks

(5 - 2)^2 = 3^2 = 9

(5 - 3)(5 + 4) = 2 * 9 = 18


Related Questions

Indicate the answer choice that best completes the statement or answers the question Refer to the table that shows the highway fuel economy of various popular vehicles. Fuel Economy (Miles per Gallon) 48 25 35 34 33 37 32 34 23 30 Determine the mean absolute deviation. Round to the nearest hundredth a. 4.5 miles per gallon 33.5 miles per gallon b. 34 miles per gallon d. 33.1 miles per gallon​

Answers

Answer:

d) 33.1 miles per gallon

Step-by-step explanation:

Mean = sum/ number

Mean= (48+25+35+34+33+37+32+34+23+30)/10 = 33.1

You pick from cards at random 2 4 5 6 7 8 9 Which is P(prime)

Answers

Answer:

2, 3, 5, 7

Step-by-step explanation:

They are all prime

Answer: 2,3,7,5

Step-by-step explanation:

2 is an exeption for a prime number but 3,7,5 are only diviusible by 1 and itself

Looke
ook at the inequality below.
-84-2v <-46
Which of the following possible
values for v would make this
inequality truc?
A -13, -5,0,3,4
B -19, -6, -1,3,6
C -46, -23, 0, 23, 46
D-60, -30, -10, 5, 25

Answers

The answers number 2

can someone help me with this... also can you do this on paper...

Answers

here you go hope this helps!

heyy dude just wanted points. so yeah.

Since multiplication is implied algebra we often don't need to actually write the times symbol ‘×'. Re-write this algebraic equation without the times symbol. a × b = 4 × c

Answers

Answer:

ab=4c

Step-by-step explanation:

Since a and b are being multiplied, we can just right ab. Since 4 and c are being multiplied, we ca just right 4c.

Answer:

ab=4c

Step-by-step explanation:

Basically, if you see any variables that are together like that or numbers side by side with letters, it means it's just being multiplied! This doesn't however, work with numbers next to numbers. So for example:

Say you have a x b = 5 x 5c

It would be ab = 5 x 5c Because only letters get put next to each other. That's really the only way I know how to explain it. Have a great day and good luck!

The triangle and the trapezoid have the same area. Base b2 is twice the length of base b1. What are the lengths of the bases of the trapezoid? The area of the triangle is 65 cm squared

Answers

Answer:

[tex]b_1 \approx 7.2[/tex]

[tex]b_2 \approx 14.4[/tex]

Step-by-step explanation:

Given

[tex]Area = 65cm^2[/tex] --- Area of the triangle

[tex]b_2 = 2b_1[/tex] --- the bases of the trapezoid

The missing parameters is:

[tex]h=6 cm[/tex] --- Trapezoid height

Required

Determine b1 and b2

Since the areas of the trapezoid and the triangle are the same, then:

[tex]Area = \frac{1}{2}(b_1 + b_2) *h[/tex]

So, we have:

[tex]65 = \frac{1}{2}(b_1 +b_2) * 6[/tex]

Substitute[tex]b_2 = 2b_1[/tex]

[tex]65 = \frac{1}{2}(b_1 +2b_1) * 6[/tex]

[tex]65 = \frac{1}{2}(3b_1) * 6[/tex]

[tex]65 = 3b_1 * 3[/tex]

[tex]65 = 9b_1[/tex]

Solve for [tex]b_1[/tex]

[tex]b_1 = \frac{65}{9}[/tex]

[tex]b_1 \approx 7.2[/tex]

Substitute [tex]b_1 \approx 7.2[/tex] in [tex]b_2 = 2b_1[/tex]

[tex]b_2 \approx 2 * 7.2[/tex]

[tex]b_2 \approx 14.4[/tex]

The following sequence is arithmetic. Fill in the missing terms.

12 , ? , ? , ? , 18, ? ...

Answers

Answer:

12,13.5,15,16.5,18,19.5

Step-by-step explanation:

just add 1.5

Rewrite the function in standard form.
f(x) = 4(x - 2)^2+ 3

Answers

Answer:

f(x) = 4x^2 - 13

Step-by-step explanation:

f(x)=4(x-2)^2 + 3 parentaties first

f(x) = 4 (x^2 - 4)+ 3 multiply by what's infront parentaties

f(x) = 4x^2 - 16 + 3 combine light terms

f(x) = 4x^2 - 13 Answer

Hope I helped :)

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Answers

over 1 up 5 each time

help please lol :)))))))

Answers

How come it’s a right triangle, I think you do a2+b2=C2. Therefore, you do 9.4 times 9.4 and then 15.1 times 15.1. So it will be 9.4 + b2=15.1. 88.36+ b2=228.01. Then you subtract that and it will be 139.65. Then you do square roots because you are trying to get rid of the second power. And the final answer is 11.81736011. How they told you to round it to the nearest tenth, I will be 11.8. I think this is the answer.

find the value of x in this screenshot

Answers

Answer:

X=24

Step-by-step explanation:

3x+5+2x-4+2x+11=180

7x+12=180

7x=180-12

7x=168

7x/7=168/7

x=24

the roots of f(x)=-2x^2+8x+13 are __________and __________ the vertex of the parabola is at _________

Answers

Answer:

roots:  2 ± (1/2)√42

                                                                  -8

axis of symmetry:  x = -b/(2a)  is  x = ---------------- = 2

                                                                 2(-2)

vertex:  (2, f(2) ) = (2, -2(2)^2 + 8(2) + 13 ), or (2, 21)

Step-by-step explanation:

First, let's determine the roots of this quadratic, using the quadratic formula.  Here the coefficients are -2, 8, 13.

Thus, the discriminant b^2 - 4ac is 8^2 - 4(-2)(13), or 64 + 104, or 168.  Because the discriminant is positive, we know that there are two different real roots.

They are:

        -8 ± √168                       -8 ± 2√42

x = ---------------------  or  x =  ---------------------  =  2 ± (1/2)√42

               -4                                     -4

5. The scatterplot below shows data for the nine french fry orders from the previous problem, with
the least-squares regression line displayed. Which of the following is the best estimate of the value
of the residual for the point indicated by the arrow?
620
560
calories
500
+
440
00
380
8 12 16 20 24 28 32 36
fat
(A) -570
(B) 570
(C)-60
(D) 60
(E) 630

Answers

Answer:

-60

Step-by-step explanation:

residual = actual - predicted = 570 - 630 = -60

What is the answer to 1552+452

Answers

Answer:

2004

Step-by-step explanation:

hope this is helpful

Answer: it is 2004

Step-by-step explanation:

Mark correct answer for wrong ones.
Except one needs to answers I haven't gotten to yet. Correct answer gets brainliest!

Answers

Answer: Can I see a better pic?

Step-by-step explanation:

Answer: D and C

Step-by-step explanation:

what is the equation of the line that passes through the point (-6,-5) slope of 3/2?​

Answers

It is y=3/2x+b
-5=3/2(-6)+b
-5=-9+b
4=b

Finit set:
1+2+3+........+25=??

Answers

Answer:

Finite set: A set is said to be a finite set if it is either void set or the process of counting of elements surely comes to an end is called a finite set.

In a finite set the element can be listed if it has a limited i.e. countable by natural number 1, 2, 3, ……… and the process of listing terminates at a certain natural number N.

The number of distinct elements counted in a finite set S is denoted by n(S). The number of elements of a finite set A is called the order or cardinal number of a set A and is symbolically denoted by n(A).

Thus, if the set A be that of the English alphabets, then n(A) = 26: For, it contains 26 elements in it. Again if the set A be the vowels of the English alphabets i.e. A = {a, e, i, o, u} then n(A) = 5.

Step-by-step explanation:

1+2+3+4+5+6..........23+24+25=325

Find the area of the shape

Answers

Answer:

1725

Step-by-step explanation:

40 is the number of the slope the height is 30.

please help me solve for x and find missing side lengths and angle measures,,

Answers

Answer: 90

Step-by-step explanatio

Answer:

the angle measure for angles T and V would be 127 because they are on opposite locations from each other. the angles S and U would 53 because T and U are coplemantery angles (180 degrees) so you subtract. 180-127 to get 53. To find x, on angle S, we simply subtract 1 from 53 (53-1) and divide the answer by 2. To find the lengths of the sides, put them next to each other and separet

them by an equal sign. subtract 3y from both sides of the equation and add 5 to both sides of the equation to get 3y=12. then divide 12 by 3 to get 4 so y=4. Then, simply replace the y with a 4 and solve the equations of the sides.

A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting
parabola is (-4,-6). What is the vertex of the function defined as
g(x) = f(x) + 3?

Answers

Answer:

(- 4, - 3 )

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

For

g(x) = f(x) + 3

This is the graph of f(x) shifted 3 units up

Given the vertex of f(x) = (- 4, - 6 ), then

vertex of g(x) = (- 4, - 6 + 3) = (- 4, - 3 )

No links or trolls please. I need help with this math, it’s due soon. Thanks you. It’s a division sign by the way, it’s hard to see in the photo.

Answers

Answer:

n^2p

Step-by-step explanation:

Thats the answer

how many yards are in 45 inches

Answers

Answer:

1.25

Step-by-step explanation:

135 is 90% of what number

Answers

Answer:

150

Step-by-step explanation:

0.90x=135

x=135/0.90

x=150

PLZ HELP I NEED TO TURN THIS IN TODAY

Answers

Answer:

The top one

Step-by-step explanation:

Just count how many are in each catagory

Answer:

The First One

Step-by-step explanation:

Don't Ask How Long It Took

In two or more complete sentences, compare the number of
x-intercepts in the graph of
f(x)=x2 to the number of x-intercepts in the graph of g(x)=−x2−5. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).

Answers

Answer:

Step-by-step explanation:

You meant x^2, right?

We get the graph of g(x) through two transformations of the graph of f(x):  

1.  Reflect the graph of f(x) about the x-axis.

2. Translate the graph obtained in (1) 2 units down.

Find the area of the semicircle. Round your answer to the nearest whole number, if necessary.



area: about
cm2

Answers

Answer:

2513.27  my dear check if correct

Step-by-step explanation:

Answer:

it 628 i hope that helps you

Step-by-step explanation:

help with this question thx

Answers

Answer:

3.5ft

Step-by-step explanation:

ILL GIVE BRAINLY IF YOU CAN HELP ME ASAP

Answers

Answer:

a

Step-by-step explanation:

hiiiiiiiii

The area of triangle QTU is 6 square units, and the area of triangle RSU is 6 square units. The dimensions in the figure below are labeled in units. What is the area of triangle STU in square units

Answers

Answer:

The area of a triangle is 1/2BH, or 1/2 times the base times the height.

If the area = 6, and B and H must both be whole numbers.

The area of the triangle ΔSTU is given by A = 12 units²

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the area of the triangle ΔSTU be represented as A

Now , the area of triangle ΔQTU is 6 square units, and the area of triangle ΔRSU is 6 square units

So , the base of the triangle ΔSTU = 6 units

The height of the triangle ΔSTU = 4 units

So , area of the triangle = ( 1/2 ) x Length x Base

On simplifying , we get

The area of triangle ΔSTU = ( 1/2 ) x 4 x 6

The area of triangle ΔSTU = 12 units²

Therefore , the value of A is 12 units²

Hence , the area of the triangle is 12 units²

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ3

The complete question is attached below :

The area of triangle QTU is 6 square units, and the area of triangle RSU is 6 square units. The dimensions in the figure below are labeled in units. What is the area of triangle STU in square units?

16. Is 4/9 a terminating or repeating decimal?
Terminating Decimal
Repeating Decimal

Answers

Repeating decimal is the answer
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