if x=-7 is a root of the equation x^2+kx+49=0, then k=​

Answers

Answer 1

Answer:

[tex]k=14[/tex]

Step-by-step explanation:

Given:

[tex]x^{2}+kx+49 = 0[/tex]

[tex]x = -7[/tex]

Substitution can be used to find the value of [tex]k[/tex]:

[tex](-7)^{2}+(-7)k+49 = 0[/tex]

[tex]49-7k+49 = 0[/tex]

[tex]98 -7k = 0[/tex]

[tex]k = 14[/tex]

Hope this helps :)


Related Questions

Question 10
Evaluate 122 – 3 [4 () – (18)].

Answers

Answer:

here is the answer -(12)/(-3)

Step-by-step explanation:

PLEASE MARK BRAINILIEST!


(a) (4,4) is a point on a locus whose equation is y2 = kx. Show that (16,8) is another point on the locus.
(b) (2,3) is a point on a locus whose equation is 5x +by= 16. Show that (0,8) is another point of the locus​

Answers

Step-by-step explanation:

plug the coordinate points into the equations and solve for the remaining variable.

b) (2,3) - 5(2) + b(3) = 16

10 + 3b = 16. 3b= 6. b = 2

(0,8) - 5(0) + 2(8) = 16. 0+ 16 = 16. ☆

a) (4,4) assume based on results you meant y squared. (y^2)

(4)^2 = 4k. 16 = 4k. k = 4

(8)^2 = 4(16). 64 = 64. ☆

Answer:

Please check the explanation.

Step-by-step explanation:

a)

Given

(4,4) is a point on a locus whose equation is y²=kx

Putting (4, 4) in y²=kx

(4)² = k(4)

16 = 4k

k = 16/4

k = 4

Checking the point (16, 8) on the locus

y²=kx

Putting (16, 8) and k =4 in y²=kx

y²=kx

(4)² = 4×4

16 = 16

L.H.S = R.H.S

Therefore, (16, 8) is another point on the locus.

b)

Given

(2, 3) is a point on a locus whose equation is 5x +by= 16

Putting (2, 3) in 5x +by= 16

5x+by=16

5(2)+b(3)=16

10+3b=16

3b=6

b=6/3

b=2

Putting (0, 8) and b=2 in 5x +by= 16

5x +by= 16

5(0)+2(8)=16

0+16=16

16=16

L.H.S = R.H.S

Therefore, (0, 8) is another point on the locus.

Find the perimeter of a rectangular garden that measures 4 yards by
12 yard.

Answers

Answer:

it is 48 yards

Step-by-step explanation:

what You would do is this 12x4, which would equal 48

Answer:

32 yards

Step-by-step explanation:

First we need to know what perimeter is. It's similar but not the same as area. The perimeter is the length around the entire area, or in this case, a garden. We know 2 side lengths of the garden and because it is a rectangle we just have to add another width and length the same as these and add them all together.

4 + 4 + 12 + 12

8 + 24

32

So, the perimeter of the rectangular garden is 32 yards.

Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. :) Stay safe and please mark brainliest!

WILL GIVE BRAINLIEST!!!!!!1
Consider this system:
3x + 1/2y = 3
6x - y = 2
Which of the following operations would eliminate the y-terms if the two equations were added together afterward?

A. Multiply the first equation by -2.

B. Multiply the first equation by 2.

C. Multiply the second equation by -2.

D. Multiply the second equation by 2.

Answers

Answer:

B. Multiply the first equation by 2

hope this helps tell me if you need more :)

Multiply the first equation by 2 then the variable y will be eliminated. Then the correct option is B.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Consider this system:

3x + 1/2y = 3 ...1

6x - y = 2     ...2

The operations would eliminate the y-terms if the two equations were added together afterward will be

Multiply the first equation by 2. Then we have

6x + y = 6

6x -  y = 2

Add the above equations, then we have

12x = 8

y is eliminated.

More about the linear system link is given below.

https://brainly.com/question/20379472

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Multiply. Answer with a mixed number in simplest form

6 x 3 3/8

Answers

Answer: my answer is 20.25

Answer:

20 1/4

Step-by-step explanation:

6/1 × 27/8 = 162/8 = 162 ÷ 8 = 20 1/4

I need help for algebra 1, solve for the variable
2x-y=y
(solving for x)

Answers

Answer:

x = y

Step-by-step explanation:

Given

2x - y = y ( add y to both sides )

2x = 2y ( divide both sides by 2 )

x = y

Answer: x=y

Explanation
add y to both sides=2x-y+y=y+y
2x=2y
Divide both sides by 2
2x/2=2y/2
Therefore x=y

There are 2 blue, 3 green and 10 red marbles in a bag. What is the Probability of pulling a red marble, replacing it, then pulling a blue marble?

Answers

Answer:

i think its this..   ._.

Step-by-step explanation:

if red is 10, and pulling a blue is 2, there is a 10/15 chace you will get a red, but a 2 out of 15 chance you will get a blue

Dena has 6.25 inches of blue ribbon, 0.375 foot of orange ribbon, and 0.5 yard of green ribbon. How many inches of ribbon does Dena have altogether?

Show or explain your work through either decimal or fractional calculation.

Answers

Answer:

28.75in

Step-by-step explanation:

We are expected to convert all units to inches in this problem

Step one:

given data

blue ribbon=6.25 inches

orange ribbon=0.375 foot

green ribbon=0.5 yard

Step one:

convert orange ribbon=0.375 foot to inches

1 ft = 12 in

0.375ft=xin

cross multiply

x=12*0.375

x=4.5in

orange ribbon= 4.5in

convert green ribbon yd to inches

1 yd = 36 in

0.5 yd=xin

cross multiply

x=36*0.5

x=18in

green ribbon= 36in

total lenght in inches =6.25+4.5+18

=28.75in

CORRECT ANSWER GETS BRAINLIEST!!!

The least-squares regression equation
y = 120 + 40x can be used to predict the cost of renting a backhoe for x hours. Suppose it costs $325 to rent a backhoe for 5 hours.
Calculate the residual for renting the backhoe for 5 hours, to the nearest hour.
The residual is _____​

Answers

Answer:

5

Step-by-step explanation:

just did on edge

The residuals is $5

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given, The least-squares regression equation

y = 120 + 40x

This equation can be used to  predict the cost of renting a backhoe for x hours

If  it costs $325 to rent a backhoe for 5 hours.

We need to Calculate the residual for renting the backhoe for 5 hours,

Plug 5 in place of x in equation

y=120+40(5)

y=120+200

y=320

Since the The observed value is $325.

To find residual for renting the backhoe for 5 hours

We have to separate 320 from 325

325-320=5

Hence the residual is 5.

To learn more on Equation:

https://brainly.com/question/10413253

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Jay is 3 years less than 4 times Nelly’s age ( n ). Which expression represents Jay’s age?

Answers

Answer:

9

Step-by-step explanation: 3x4= 12  -3=9

Answer:

what's nelly's age

Step-by-step explanation:

4x divided by 3?

how do you solve
x-3y=-5
x+3y=1

Answers

Answer:

I got you fam

Step-by-step explanation:

First One:

x -3y = -5

x = -5 + 3y

Or

x -3y = -5

-3y = -5 -x

y = 5/3 + x/3

Second one:

x +3y = 1

x = 1 - 3y

Or

x + 3y = 1

3y = 1 -x

y = 1/3 - x/3

Use elimination
x - 3y = -5
x + 3y = 1
Subtract both sides
-6y = -6, y = 1
x - 3(1)= -5
x - 3 = -5, x = -2
Final answer: x = -2, y = 1

Are these answers right or some wrong? If some wrong plz answer them correct thanks!

Answers

You are wrong.

1, 2, 3 and 4 are correct.

5. 75%

6 is also correct

7. 100%

8. 50%

No they aren’t, you got most right:)

If 25⋅26=n, then which division equation is also true?



n÷26=25

26÷25=n

25÷n=26

25÷26=n

Answers

9514 1404 393

Answer:

  n÷26=25

Step-by-step explanation:

Starting with the equation ...

  25·26 = n

you can divide both sides of it by 26 to get ...

  25 = n ÷ 26 . . . . matches choice A

Hey everyone I need help on the questions please!:)​

Answers

Answer:

a. 1/2

b. 1 hair cut

c. 2.5

Step-by-step explanation:

4/8 divde by 4 to simplify and that gets you 1/2

8/4 is 2 so he does one hair cut every two hours

so you know how many he can do in 2 hours so add it up. It’s going to be 2 people in four hours so it will be half a hair cut in 5 hours

What is 6^4 x 6 1/4????

Answers

Answer:

8100

Step-by-step explanation:

use the picture to create a ratio between the football and baseball

Answers

Answer:

there are no pics

ya I can't see one

Answer:

3,6 1 to 2

Step-by-step explanation:

Find the product of 3 1/5 and 7 1/4. Express your answer in simplest form.

Answers

Answer:

Step-by-step explanation:

3 1/5 * 7 1/4= 23 1/5

Pls help !!! I've already failed it twice this is my last try please help there's other questions on my account. ​

Answers

Answer:

A, C

Step-by-step explanation:

Maybe A and C because its reflecting in the opposite direction which is 180

state the value of digit 2 in the number 1326g , in base ten​

Answers

Answer:

20

Step-by-step explanation:

2*10

= 20

PLS GIVE BRAINLIEST

i think 64 I’m not sure though

1
-3
р
II
03
True
O False

Answers

Answer:

i dont understand it

Step-by-step explanation:

I need help with the range

Answers

Answer:

(-2, 10]

Step-by-step explanation:

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

The line's lowest point is -2 and the line's highest point is 10. The value is not defined at -2 since there is an open circle. The value is defined at 10 since there is a closed circle.

WILL GIVE BRAINLIEST

Answers

We Know that in geometry the Cos/Sin = Cotangent. And the abbreviation for this is cotø

The expression (x3)(x-15) is equivalent to xn. What is the
value of n?

Answers

Answer:

-45 is xn

The x=3 and x=-15 multiply them together which is the answer to xn

Which of the following numbers is divisible by both 5 and 10

Answers

Answer:

5

Step-by-step explanation:

Answer:

1 or 5

Step-by-step explanation:

cuz 1 divided by 5 =5 and 10 divided by with 1 =10

but 5 divided by 1 = 5 and 10 divided by 5 = 2

Math Glass Worksheet (A lot of points)
Can someone tell me what to put in the rest of these columns

Answers

Answer:

You can chose 3 in 5 :o

Step-by-step explanation:

Please I will give brainylest if the answer is correct

Answers

Answer:

a^n +3

Step-by-step explanation:

simpify: a^na^3:\quad a^{n+3}

a^{n+3}

What does 24 square root using perfect squares look like?

Answers

Each side is 6 square roots

Answer:

4.899

Step-by-step explanation:

4.899×4.899=24

I know cause I googled :)

8
The statement “x > 4 and 2x – 4< 6" is true when x is
equal to
A1
B 10
C 5
D 4

Answers

Answer:

the new year will have the other

Step-by-step explanation:

u3ueufjfjtjfjfj was calling for an accident that killed

What is the area of the triangle?
10 km
10 km
square kilometers

Answers

The answer is 50 because the formula for the area of a triangle is base x hight x 1/2. So if we plug both the 10s into the formula you get 10x10 which = 100 then divide that by 2 and you get 50. Hope it helps :)

There were 42 mangoes in each crate. 12 such crates of mangoes were delivere to a factory. 4 mangoes were rotten and had to be thrown away. The remaining mangoes were packed into boxes of 10 mangoes each. How many mangoes were left after the 4 rotten ones were thrown away? * Your answer​

Answers

Answer: 50

Step-by-step explanation: 42x12=504. 504-4=500. 500/10=50.

Answer:

Total Mangoes = 50

Rotten =  46

Step-by-step explanation:

50 divided by 10 = 5.

50 minus 4 is 46.

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