For what values of x is the trinomial 2x2−x+55 equal to the square of binomial x+5?

Answers

Answer 1

The value of x for which the trinomial 2x^2−x+55 equal to the square of binomial x+5 is 5 and 6

Given the equation 2x^2−x+55, if the expression is equal to the square of binomial x + 5, then;

2x^2−x+55 = (x+5)^2

2x^2−x+55 = x^2 + 10x + 25

Collect the like terms;

2x^2-x^2-x-10x+55-25 = 0

x^2 - 11x + 30 = 0

Factorize the result

x^2 - 6x - 5x + 30 =0

x(x-6)-5(x-6) = 0

x-5 = 0 and x - 6  = 0

x = 5 and 6

Hence the value of x for which the trinomial 2x^2−x+55 equal to the square of binomial x+5 is 5 and 6

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Related Questions

HELP! Write an equation that represents the relationship between the two variables.

Answers

Answer:

x + 1, y + 1

Step-by-step explanation:

For every x there is a y

(っ◔◡◔)っ ♥ Hope It Helps ♥

Anybody know the answer ??? I need it real quick plz don't send a file!!

Answers

Answer:

Here’s a file hosting..

SCROLL DOWN FOR LINK

Step-by-step explanation:

Answer is B, C, D, E, A

At a sport clubhouse the coach wants to rope off a rectangular area that is adjacent to the building. He uses the length of the building as one side of the area, which measures $$23 meters. He has at most $$35 meters of rope available to use.

Answers

Answer: 6 meters

Step-by-step explanation:

The question is to form an inequality to solve for the possible widths that the roped area could have.

Let the width be denoted as w.

23 + 2w = 35

2w = 35 - 23

2w = 12

w = 12/2

w = 6

Therefore, the width is 6 meters

last one pls help i dont get this slope thingy

Answers

Answer:

-3

Step-by-step explanation:

Slope going down.

From point (-2,3) to (-1,0): Down 3, Over 1 (-3/1)

The functions f(x) and g(x) are defined below. Which expression is equal to f(x) + g(x)?

Answers

Answer:

2(x-10)/(x+10)(x-4)

Step-by-step explanation:

Find the complete question attached as a diagram

Given the following

F(x) = x-16/x²+6x-40

Factoring the denominator

F(x) = x-16/x²-4x+10x-40.

F(x) = x-16/x(x-4)+10(x-4)

F(x) = x-16/(x+10)(x-4)

g(x) = 1/x+10

Adding both functions

F(x)+g(x) = x-16/(x+10)(x-4) + 1/x+10.

F(x)+g(x) = x-16+(x-4)/(x+10)(x-4)

F(x)+g(x) = x-16+x-4/(x+10)(x-4)

F(x)+g(x) = x+x-16-4/(x+10)(x-4)

F(x)+g(x) = 2x-20/(x+10)(x-4)

F(x)+g(x) = 2(x-10)/(x+10)(x-4)

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Answers

The answer should be A because when I put them on a graph they were in the shape of a square/rectangle

please help me solve this​

Answers

Answer:

4x^2+36x+81

Step-by-step explanation:

FOIL

First terms

Outside terms

inside terms

last terms

SIMPLEE!!! WRITE AN EXPRESSION!

Answers

2s+2(s-7). Would be an equation. Hope this helps:)

Find (12.34) x (0.7). Explain how you got it

Answers

12.34 x 0.7 = 8.638 or 8.64

all i did was multiply. but lmk if it’s right

Given the expression below, what are the missing values, respectively?
x2 + 9x + 20 = (x + O) (x + O)
F. 4, 5
G. 2, 10
H. -4,1-5
J. 3, 3​

Answers

Answer:

F.

Step-by-step explanation:

20=4*5

9=4+5

Help me with this please

Answers

Answer:

1) <2 ; 60

2) <3 ; 60

3) <4 and <3. <4 = 120 and <3 = 60

4) <1, <3, and <4 = 125. <2 = 55

Step-by-step explanation:

1)

Corresponding angles are equal

2)

Alternate interior angles are equal

3)

<4 and <3 are same-side interior angles. This makes them supplementary angles

<4 = 120

<3 = 60

4)

<1 = <4 = <3. All of these angles equal 125.

<2 + <1 = 180

<2 + 125 = 180

<2 = 55

8pq + 20qr – 16s factorise plz

Answers

Answer:

4(2qp + 5qr - 4s)

Step-by-step explanation:

8pq + 20qr – 16s

we can use 4 as a common factor between these numbers.

8/4 = 2

20/4 = 5

16/4 = 4

so

4(2qp + 5qr - 4s) is the most factorized answer we can get

Simplify.
5V18-2V50
V50

Answers

Answer:

-500

Step-by-step explanation:

PLS HELP WILL MARK BRAINLIEST

Answers

Answer:

I believe it is D.

Step-by-step explanation:

This shows all the combinations of the dice roll as could go along with any of the coin toss solutions.

I hope I didn't confuse you lol! Hope this helps :)

The area of a square piece of glass is 36 square centimeters. How long is each side?

Answers

Answer:

6 centimetres

Step-by-step explanation:

Square root 36 = 6

Answer:

6

Step-by-step explanation:

A = x^2

x = √A

x = √36

√36 = 6

Please help it's for trig

Answers

Answer:

-4

Step-by-step explanation:

Given the expression

h(x) = -x^2 +4x

h(-2) = (-2)^2 + 4(-2)

h(-2) = 4  + (-8)

h(-2) = 4 -  8

h(2) = -4

Hence the value of the function when x = -2 is -4

Factorise 3c^2-c


Please help me quick

Answers

Answer:

c(3c - 1)

Step-by-step explanation:

3c² - c

Common factor = c

Factored:

c(3c - 1)

Urgent! Please help me out.

Answers

Answer:

According to the graph it should be D  Have a good day thank you <.>

Step-by-step explanation:

Answer:

D i think

Step-by-step explanation:

if it started at 54º, and in each one hour it grows 8 degrees, then it is d

not b because in the first hour it only went up to 60º

pls mark brainliest unless someone alreay answered it

thank you have a great day! :D

A laptop case is 24 inches long and 18 wide. Find the diagonal length of case in feet. Round your answer to the nearest tenth.

Answers

Answer:

2.5 feet

Step-by-step explanation:

According to the problem, computation of given data are as follows,

Length = 24 inches = 2 feet ( 1 feet = 12 inches)

Width = 18 inches = 1.5 feet  ( 1 feet = 12 inches)

So, we can calculate the diagonal length by using Pythagorean Theorem.

[tex]L^{2} + W^{2} = D^{2}[/tex]

Where, L is length, W is width, and D is diagonal length

So, by putting the value, we get

[tex]2^{2} + 1.5^{2} = D^{2}[/tex]

[tex]D^{2} = 4 + 2.25[/tex]

[tex]D = \sqrt{6.25}[/tex]

D = 2.5 feet

Hence, diagonal length is 2.5 feet.

Divide 9 by 3 then subtract two double the result

Answers

Answer:

2

Step-by-step explanation:

9 ÷ 3 - 2 × 2

3 - 2 × 2

1 × 2

2

Mr. Pete just got a great deal at Lowe’s on tiles for his new patio. He wants to

tile his patio in the shape that is rectangular. His patio measures 108 inches by

144 inches. Find the fewest square tiles he can use without cutting any of them.

Answers

Answer:

The fewest square tiles he can use without cutting any of them = 12 square tiles

Step-by-step explanation:

The given dimensions of Mr. Pete's rectangular patio = 108 inches by 144 inches

The area of the patio = 108 in. × 144 in. = 15,552 in.²

We note that when square tiles are used the must fit both the length and the with of the rectangular patio

Therefore, we have;

The dimensions of the square tiles that the fewest number of tiles is the highest common factor, HCF, of 108 inches and 144

The HCF of 108 and 144 are found from by the prime factors as follows;

108 = 2² × 3³ = 2² × 3² × 3

144 = 2⁴ × 3² = 2² × 3² × 4

From which we have;

The HCF of 108 and 144 = 2² × 3² = 36

Therefore, the size of the sides of the square tiles that will give the fewest number of tiles is 36 inches

The number of the 36 inches square tiles that fit into the length of the rectangular patio = 144 inches/(36 inches/tile) = 4 tiles

The number of the 36 inches square tiles that fit into the breadth of the rectangular patio = 108 inches/(36 inches/tile) = 3 tiles

The total number of tiles he will use = (4 × 3) tiles = 12 tiles = The fewest square tiles he can use without cutting any of them.

Jessica bought a soft drink for 2 dollars and 6 candy bars. She spent a total of 20 dollars. How much did each candy bar cost!

Answers

Answer:

4 dollars

Step-by-step explanation:

i subtracted the total money spend from the soft drink

18$ - 2$ = 16$ was spent in buying the candy bars

and she bought 4 candy bars so  we divide 16$ by 4 = 4$ for each candy bars

I have been stuck on this question for a while(NO SPAMMING IT IS ANNOYING)The formula used to find the area of a circle is πr² (π=pi). What is the area of a circle with a diameter of 16cm? Use pi = 3.14

Answers

Answer:

200.96

or

201 (if you round it up)

Step-by-step explanation:

1) Well, if we know that the diameter (D) is 16 cm, then we know that the radius (r) is 8 cm (D = 2 * r).

2) Next, we square (^2) the radius, and we get 64 (r^2 = r * r = 8*8 = 64)

3) Finally, we multiply π by 64, and we get 200.96 cm^2 (3.14 * 64) which is very close to 201 cm^2.

Help please
Mathematics

Answers

Answer:

21.5sqft

Step-by-step explanation:

The area of the square is 10ft*10ft = 100sqft

The area of the circle is 5ft*5ft*pi = 25pi sqft

We're supposed to use 3.14 for pi, so the circle is around 25*3.14 sqft = 78.5sq ft

The area left over is 100sqft - 78.5sqft = 21.5sqft

Answer:

21.5 sq. feet

Step-by-step explanation:

Find area of squareFind area of circleSubtract area of circle from square to get area of remaining cloth

Will mark brainly
Angles Test

Answers

Answer:

B.

Step-by-step explanation:

complantary angles add up to 90 degrees so 90-24 is 66

Answer:

1. A

2.B

Step-by-step explanation:

Supplement angles add up to 180°

Complement angles add up to 90°

The measure of an angle is 137.4°. What is the measure of its supplementary angle?

Answers

Answer:

42.6 degrees

Step-by-step explanation:

A supplementary angle is one that adds to the other one so the sum is 180 degrees. So 180-137.4=42.6

this is going to be my 13th reason please help me

Answers

Answer:

The radius of these cylinders is approximately 1 foot.

Step-by-step explanation:

According to this graph, the volume of the cylinder is directly proportional to its height, that is, radius remains constant. The expression of direct proportionality:

[tex]V \propto h[/tex]

[tex]V = k\cdot h[/tex] (1)

Where:

[tex]V[/tex] - Volume of the cylinder, in cubic feet.

[tex]h[/tex] - Height of the cylinder, in feet.

[tex]k[/tex] - Proportionality constant, in square feet.

Besides, the proportionality constant is described by this expression:

[tex]k = \pi \cdot R^{2}[/tex] (2)

Where [tex]R[/tex] is the radius of the cylinder, in feet.

If we know that [tex]h = 9\,ft[/tex] and [tex]V = 28.26\,ft^{2}[/tex], then the radius of the cylinder is:

[tex]k = \frac{V}{h}[/tex]

[tex]k = 3.14[/tex]

[tex]R = \sqrt{\frac{k}{\pi} }[/tex]

[tex]R \approx 1\,ft[/tex]

The radius of these cylinders is approximately 1 foot.

1. is XY tangent to circle Z?​

Answers

Answer:

Line segment U V is a secant Line segment X Y is a tangent and intersects the circle at point U

Step-by-step explanation:

The required, XY is tangent to Circle Z, as of the given condition.

What is a circle?

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

where h, k is the coordinate of the center of the circle on a coordinate plane and r is the radius of the circle.

Here,
From the diagram, we can use the Pythagorean theorem to justify whether XY is tangent to the circle Z, because if XY is the tangent then XYW is the right triangle.

So,
XY² = XW² + WY²

Substitute the value in the above expression,
16² = [2×6.4]² + 9.6²
256 = 256

Thus, XY is tangent to Circle Z.

Learn more about circle here:

brainly.com/question/11833983

#SPJ2

NO LINKS PLEASE- OR I SWEAR-
What is the median (Q2) of this data set?
(TYPE the NUMBER)

Answers

Answer:

70 or 75 70 is on there so that my best answer

Step-by-step explanation:

An engine is operating at 25% of its full power. Which number line shows a point that
represents 25%?

Answers

Answer:

The first line

Step-by-step explanation:

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