Mathematics High School

Find the value of k and x2
x^2+ 13x + k = 0, x1=-9

Answers

Answer 1

Given:

The quadratic equation is:

[tex]x^2+13x+k=0[/tex]

[tex]x_1=-9[/tex]

To find:

The value of k and [tex]x_1[/tex].

Solution:

We have,

[tex]x^2+13x+k=0[/tex] ...(i)

Putting [tex]x=-9[/tex], we get

[tex](-9)^2+13(-9)+k=0[/tex]

[tex]81-117+k=0[/tex]

[tex]-36+k=0[/tex]

[tex]k=36[/tex]

Putting [tex]k=36[/tex] in (i), we get

[tex]x^2+13x+36=0[/tex]

Splitting the middle term, we get

[tex]x^2+9x+4x+36=0[/tex]

[tex]x(x+9)+4(x+9)=0[/tex]

[tex](x+9)(x+4)=0[/tex]

[tex]x=-9,-4[/tex]

Here, [tex]x_1=-9[/tex] and [tex]x_2=-4[/tex].

Therefore, the required values are [tex]k=36[/tex] and [tex]x_2=-4[/tex].

Related Questions

Find the value of the expression below
when x =3/4

4x² + 8x - 5

Answers

Answer:

4x² + 8x - 5

= 4(3/4)² + 8(3/4) - 5

= 4 × 9/16 + 24/4 - 5

= 36/16 + 24/4 - 5

= 9/4 + 6 - 5

= 9/4 +1

= 3.25

Step-by-step explanation:

Hope it helps!!

Work out 5/6 x 3/4
Give the answer as a fraction in its simplest form.

Answers

Answer:

The answer is 5/8

Step-by-step explanation:

If AABC is reflected across the y-axis, what are the coordinates of A'?

Answers

Answer:

(-4, -2)

Step-by-step explanation:

A is initially (-4, 2); when we reflect over the y-axis, we will change from (x, y) to (x, -y). This gives us (-4, -2).

The coordinates of A' are (-5,-3).

What are coordinates?A coordinate system in geometry is a system that uses one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space. The order of the coordinates matters and they are sometimes identified by their position in an ordered tuple, and other times by a letter, as in "the x-coordinate." In elementary mathematics, the coordinates are assumed to be real numbers, but they can also be complex numbers or members of a more abstract system, such as a commutative ring. The use of a coordinate system allows geometry issues to be transformed into numerical problems and vice versa; this is the foundation of analytic geometry.Solution -

If AABC is reflected across the y-axis, the coordinates of A' are (-5,-3).

The reflected graph is given below.

Therefore, the coordinates of A' are (-5,-3).

Know more about graphs here:

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Find the volume of the following. Round to nearest hundredths place:
Use 3.14 for II
+
7 mi
2 mi

Answers

Answer:

volume of cone=1/3×pi×r²×h

volume of cone =1/3×22/7×(2mi)²×7mi

volume of cone =29.32mi³

The answer choices are..
A. 90°
B. 250°
C. 87°
D. 110°

Answers

Answer:

87°

Step-by-step explanation:

HELPPPP

Diane draws an obtuse, isosceles triangle with two of the angles measuring 25° each.
What is the measure of the obtuse angle in her triangle?

Answers

Answer:

130⁰. unsure. angle sum, 25+25+x =180, so x=180-25-25

help I will give brainiest if you can atleast do three

Answers

1.) A=pi(r)^2

2.) V=Bh

3.) 3.1

4.) 20

5.)36

6.) 10

7.)18

Answer:

Step-by-step explanation:

1.) formula of circle =pi times r^2

2.)volume of cylinder =pi times r^2 times h

3.)value of pi rounded = 3.14

4.) diameter of can A =2r=2(10) = 20

diameter of Can A is 20

5.)diameter of can B =2r =2(18) =36

diameter of Can B is 36

6.)radius = 10

7.)radius =18

I did all of them.

Help! Look at my last most recent question for 100 points. This one only offers 10.

Answers

Answer: 2.43m^3

Step-by-step explanation:

Answer: 2.43cm^3

Step-by-step explanation:

PLEASE mark me BRAINIEST! One more until next ranking!

What are the solutions to the following system of equations?
y = 3x - 7
5x - y = 11
A(2, -1)
B (3, 4)
C (-3, 3)
D (-6, 1)

Answers

Answer:

A (2,-1)

Step-by-step explanation:

-1 = 3(2) -7

5(2) - (-1) = 11

HELP PLEASE what’s the answer!?!?

Answers

Answer:

this is the answer for 4th question

and it is a collinear

Answer:

C=20

Step-by-step explanation:

This is for question 3

For perpendicular lines , the product of their gradient should give -1 for the answer and thus,

3×x=-1

x=-⅓, the gradient for the line.

Therefore c =

-2-3/c- 5 =-⅓

-1(c-5)=3(-2-3)

-c+5=-6-9

-c=-6-9-5

-c=-20

The negatives cancel each other leaving c as 20

please helpppp to find the answer would really appreciate it !

Answers

Answer:

the answer is in the attachment

PLS HELP ME ASAP PLS PLS PSL

Answers

If y varies directly as x, and y = 6 when x = 4, find y when x = 12.
y =

Answers

y=14 I hope this helps!!

One year of classes at the University of Texas at Austin costs $10,700.
Georgio has received a grant that will pay $700 and a scholarship for
$5,500. He wants to get a job to pay 40% of the remainder of the costs
and borrow the rest of the money. How much does he need to earn on
his job, and how much will he need to borrow?
O
Georgio has to earn $1,600 and borrow $2,700.
Georgio has to earn $1,800 and borrow $2,700.
Georgio has to earn $1,800 and borrow $2,300.
Georgio has to earn $1,600 and borrow $2,300.

Answers

Answer:

Georgio has to earn $1,800 and borrow $2,700.

ASAP PLEASE

Type in your response.

What is the area of kite ABCD?

sq yd

Answers

Answer:

51.5?

Step-by-step explanation:

I think it's just length times width divided by 2

The area of the kite ABCD is 51.56 square yards.

What is the area of the kite?

A kite's area is the amount of space enclosed or surrounded by a kite in a two-dimensional plane.

A kite's area equals half the product of its diagonal lengths. The formula for calculating a kite's area is:

Area = 1/2 × d₁ × d₂

Where d₁ and d₂ are long and short diagonals of a kite.

Here, AC = 12.5 yards and BD = 8.25 yards

Substitute the values of d₁ = 12.5 yards and d₂ in the formula of the kite's area:

The area of the kite = 1/2 × 12.5 × 8.25

The area of the kite = 51.5625

The area of the kite ≈ 51.56 square yards

Thus, the area of the kite ABCD is 51.56 square yards.

Learn more about the area of the kite here:

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If x= 35, then what is the measure of arc EF?

Answers

Arc EF would be 145. arc EFG would equal 180°, so if you do 180-35, you get 145.

10/y=2/9, find the solution of y. stat.

Answers

Answer:

y=45

Step-by-step explanation:

Let's solve your equation step-by-step.

10 y = 2 /9

Step 1: Cross-multiply.

10 y = 2 /9

(10)*(9)=2*y

90=2y

Step 2: Flip the equation.

2y=90

Step 3: Divide both sides by 2.

2y /2 = 90 /2

y=45

brainliest please?

Answer:

y = 45

Step-by-step explanation:

10/y=2/9

10 = y * 2/9

10 = 2/9y

10 * 9 = 2/9y * 9

90 = 2y

90/2 = 2y/2

y = 45

ps: * means multiply

Im new here :) but hey you got these qs try your best okie

I hope and im glad to help

What is the area of a circle whose diameter is 102

Answers

Answer:

area = 8167.14 units ²

Step-by-step explanation:

area = πr²

r = 102/2 = 51

area = (3.14)(51²) = 8167.14 units ²

It is A≈8171.28 because you Using the formulas A= πr2 d=2r
Solving forA
A=1
4πd2=1
4·π·1022≈8171.28249

A circular opening of an ice cream cone has a diameter of 23 centimeters. The height of the cone is 17 centimeters, what is the

volume of the cone?

round to hundredth decimals if necessary.

Answers

Answer:[tex]2355.31\ cm^3[/tex]

Step-by-step explanation:

Given

diameter of the cone is [tex]d=23\ cm\quad [r=\frac{d}{2}=11.5\ cm][/tex]

The height of the cone is [tex]h=17\ cm[/tex]

The volume of a cone is [tex]V=\dfrac{1}{3}\pi r^2h[/tex]

Insert the values

[tex]\Rightarrow V=\dfrac{1}{3}\times \dfrac{22}{7}\times 11.5^2\times 17=2355.309\\\\\Rightarrow V\approx 2355.31\ cm^3[/tex]

Thus, the volume of the cone is [tex]2355.31\ cm^3[/tex]

Find the volume of compostie figure

Answers

Step-by-step explanation:

The first composite shape is a combination of a rectangular prism and a pyramid. To find the volume of the entire shape you find the volume of each individual shape and add them together. The second figure consists of a cylinder and a hemisphere.

Hope that helps :)

Find the length of side AB.
Give your answer to 1 decimal place.
C
12 cm
62°
A
B

Answers

Answer:

5.63cm

Step-by-step explanation:

to find length of side AB

12[tex]cos[/tex][62°]

=5.63cm

Help is much needed pls. I can only put 15 points.

Answers

Answer:

9.2

Step-by-step explanation:

first i added 5 + 3 = 8

then i did 1 1/5 + 8=9 1/5

the annual
The present population of
of a town is 66550. If the annual population growth
rate is 10% what was
the Population growth of town 3 years ago ?

Answers

Answer:

Population (t=-3)= 50,000

Step-by-step explanation:

Giving the following information:

Annual growth rate (g)= 10%

Number of periods (n)= 3 years

Present Value (PV)= 66,550 people

To calculate the population three years ago, we need to use the following formula:

Population (t=-3)= PV / (1 + g)^n

Population (t=-3)= 66,550 / (1.1^3)

Population (t=-3)= 50,000

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

pt B: (-1, -8)

Step-by-step explanation:

(x - 7)/2 = -4

x - 7 = -8

x = -1

(y-6)/2 = -7

y - 6 = -14

y = -8

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Find the value of k and x2 x^2+ 13x + k = 0, x1=-9

Answers

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Find the value of k and x2
x^2+ 13x + k = 0, x1=-9