Solve the equation below by completing the square. Circle the number that is added to both sides. x2 - 10x = -18 ​

Answers

Answer 1

Answer:

x = ±[tex]\sqrt{7}[/tex] - 5

Step-by-step explanation:

x^2 - 10x = -18

x^2 - 10x + 18 = 0

(x + 5)^2 - 5^2 + 18 = 0

(x + 5)^2 - 7 = 0

(x + 5)^2  = 7

[tex]\sqrt{(x + 5)^2}[/tex] [tex]=[/tex] ±[tex]\sqrt{7}[/tex]

x = ±[tex]\sqrt{7}[/tex] - 5


Related Questions

True or false? Any two points are collinear and coplanar

Answers

Answer:

True

Step-by-step explanation:

Any two points are always collinear because you can always connect them with a straight line. Three or more points can be collinear, but they don't have to be. ... Coplanar points: A group of points that lie in the same plane are coplanar. Any two or three points are always coplanar.

factorise 1000a^2+27b^2​

Answers

1000a+27b with 2 on top of the number

Attempt 1 of
For the following system, use the second equation to make a substitution for y in the first equation.
3x + y = 1
y+4= 5x
What is the resulting equation?
3x + 5x + 4 = 1
3x + 4 - 5x=1
3x + 5x - 4 = 1
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Answers

Answer:

3x + 5x - 4 = 1

Step-by-step explanation:

rewrite equations (i'm using the substitution method)

3x + y = 1

y = 5x − 4

plug in the second equation into the first

3x + (5x − 4) = 1

I need help to find x=

Answers

Answer:

x=12

Step-by-step explanation:

Since the polygons are similar, we can write a ratio to solve

red side / yellow side

4      2

--- = ---

x       6

Using cross products

4*6 = 2x

24 = 2x

Divide by 2

24/2 =2x/2

12=x

Answer:

12

Step-by-step explanation:

When two shapes are similar, you need to find the scale factor of two existing corresponding sides.

For example, you can do 6 and 2.

Divide:

6/2 = 3

The scale factor: 3

Now multiply 4 and the scale factor (3):

4 × 3 = 12

So, x = 12.

Hope this helped.

translation geometry please help!! Acellus

Answers

Answer:

A' (-6,3)

B' (-3,0)

C' (-7,1)

Answered by GAUTHMATH

Answer:

A -6, 3

C -7 1

B -3,0

Step-by-step explanation:

5×12÷[-12÷{15+(4-13)}]​

Answers

Answer:

=5×12÷[-12÷{15+(-9)}]

=5×12÷[-12÷6]

=5×12÷(-2)

=-30

Step-by-step explanation:

Please help me find the answer guys

Answers

Answer:

15%

Step-by-step explanation:

As we see, by the time one day passes, we have the amount of weeds as 1650 times 0.85 to the power of 1. We can rewrite 0.85 as 85%. That means that 1650 keeps getting multiplied by 85% to the power of as many days that have passed. 85% can be rewritten again to 1 - 15%. We can see in the equation that the population of weeds decreases by 15% as d, increases, and d is the number of days, so the population of the weeds decreases by 15% each day.

The population of weed decreases each day by 15%

Find f(-1) when f(x) = x 2 - 5x - 3

Answers

Answer:

f(- 1) = 3

Step-by-step explanation:

To evaluate f(- 1) substitute x = - 1 into f(x) , that is

f(- 1) = (- 1)² - 5(- 1) - 3 = 1 + 5 - 3 = 3

Answer:

Step-by-step explanation:

f(-1)  =(- 1)^2 - 5.(-1) - 3 = 3

Find the value of c so that the polynomial p(x) is divisible by (x-3).

p(x) = -x^3 + cx^2 -4x + 3

Answers

Answer:

c = 4.

Step-by-step explanation:

If p(x) is divisible by  (x-3) then p(3) = 0 (By the Factor Theorem), so

-(3)^3 + (3)^2c - 4(3) + 3 = 0

-27 + 9c - 12 + 3 = 0

9c = 27 + 12 - 3

9c = 36

c = 4.

Answer:

4

Step-by-step explanation:

Can anyone help me with this please

Answers

Hi there!

[tex]\large\boxed{\frac{1}{4}, -\frac{3}{2}}[/tex]

13y² + 10y - 3 = 5y²

Begin by moving all terms to one side:

13y² + 10y - 3 - 5y² = 0

Combine like terms:

8y² + 10y - 3 = 0

Factor using the guess-and-check method.

(4y - 1)(2y + 3) = 0

Set each factor equal to 0 to find the solutions:

4y - 1 = 0

4y = 1

y = 1/4

2y + 3 = 0

2y = -3

y = -3/2

<6 and <7 can be classified as?
a. vertical angles
b. alternate interior angles
c. same side interior angles
d. alternate exterior angles

Answers

Answer:

A. vertical angles

Vertical angles are supplementary angles when the lines intersect perpendicularly

[tex](a+b)^{2}[/tex]

Answers

Answer:

[tex] ({a + b})^{2} [/tex]

[tex](a + b)(a + b)[/tex]

[tex] {a}^{2} + 2ab + {b}^{2} [/tex]

hope this help you

a taxi rider must pay 15000 VND for 1km in the first 10km, when exceeding 10km, they will pay them 14000 VND for each subsequent kilometer.Please write the expression to that the user number must be pay on x km (x>10)

Answers

Answer:

Số tien:S =150000+(x-10)14000

Step-by-step explanation:

If APQR = ASTU, complete each blank below with the appropriate length or measure.

Answers

Answer:

ST = 8 m

SU = 7 m

m∠Q = 75°

m∠S = 59°

m∠R = 46°

m∠U = 46°

Step-by-step explanation:

The given parameter are;

ΔPQR is congruent to ΔSTU

In ΔPQR, m∠P = 59°, PR = 8 m, PQ = 7 m

In ΔSTU, m∠T = 75°

By Side-Angle-Side rule of congruence, and given that m∠P ≠ m∠T, we can have;

m∠S ≅ m∠P, by Congruent Parts of Congruent Triangles are Congruent, CPCTC

ST ≅ PR, SU ≅ PQ, m∠Q ≅ m∠T, m∠U ≅ m∠R

Therefore;

ST = PR = 8 m

ST = 8 m

SU = PQ = 7 m

SU = 7 m

m∠Q = m∠T = 75°

m∠Q = 75°

m∠S = m∠P = 59°

m∠S = 59°

m∠U = m∠R = 180 - (75° + 59°) = 46°

m∠R = 46°

m∠U = 46°.

Please help I’ll give brainliest if you explain.

Answers

Answer:

B

Step-by-step explanation:

there are four girls in total, and Martina is most probably a girl too. only 1 girl out of the four girls will be chosen so probability is 1/4

Put the steps In order

Answers

1-4-2-3……………….don’t understand these 20 character limits

SOMEONE HELP ME PLEASE

Answers

I NEED HELP TOOOO LIKE ASAPPPP IM IN SUMMER SCIOL LOL
Answer: 1/36
First roll 1/6 chance of getting 1. Second chance 1/6 chance of getting 1. Multiply the two.

a teacher had 23 pupils to her class. all but 7 of them went on an excursion trip and thus were away for the day. how many students remains in the class that day.

Answers

Answer:

16

Step-by-step explanation:

If the teacher had 23 but then 7 had to go away for a trip, then all you do is subtract 23 and 7:

23-7= 16

Thus, the teacher had 16 students that day after the 7 went away.

7 remained in the class that day

does anybody know the answer?

Answers

The correct answer is A. The second term is 3*7 - 6 = 15

What number line shows Point A at -4, Point B at 2.5, Point C at -2 1/2, and Point D, which is the opposite of Point A.

Answers

Answer: Choice A

Explanation:

Since -3/5 > -0.8, this means -3/5 is to the right of -0.8

Larger stuff is to the right of smaller stuff. Another example would be 10 > 7, meaning we have 10 to the right of 7 since 10 is larger.

Any negative value is always to the left of 0, so -3/5 is to the left of 0.

That's why the answer is choice A.

Kim asked 40 people how many text messages they each sent on Monday.
The table shows her results.

Number of text messages sent Frequency
0 to 4 6
5 to 9 3
10 to 14 5
15 to 19 12
20 to 24 14
Kim is going to draw a pie chart for this information.

Work out the size of the angle on the pie chart for the sector representing 0 to 4 text messages.

Answers

Answer:

the class and any attachments is intended

Answer:

http://www.bishopstopfords.enfield.sch.uk › ...PDF

Web results

Questions - Bishop Stopfords School

Planes T and X are parallel. Plane T contains line a. Plane X contains line b. Planes T and X are parallel. Plane T contains line a and plane X contains line b. Which best explains the relationship between lines a and b? They are skew and will never intersect. They are parallel and will never intersect. They are perpendicular and will intersect. They will intersect at two points.

Answers

Answer:

The answer is "They are skew and will never intersect".

Step-by-step explanation:

Please find the graph file in the attachment.

In the given scenario, since the two lines are neither parallel nor intersect, these are skewed. Each line will be in a parallel plane, therefore prevents them from crossing each other. Parallel indicates traveling in the same direction, but not converging or diverging.

Answer:

A or ,They are skew and will never intersect.

Step-by-step explanation:

edge 2021

cho tam giác ABC vuông tại A, đường cao AH, cho biết AH= 2cm, BC= 5cm. Tính các cạnh AB, AC, CH, BH và tính diện tích tam giác ABC

Answers

Answer:

Step-by-step explanation:

SABC= 1/2 AH.BC = 1/2 .2.5 = 5

Ta co: HC = 5 – BH

Mat khac: AH2 = HB.HC  22 = HB(5-HB)  HB = 4 hoac HB = 1

Ta co cong thuc: AB2 = HB.BC

AC2 = HC.BC

Voi HB = 4 => HC = 1. Vay ta co: AB = 2√5 va AC = √5

Voi HB = 1 => HC = 4. Vay ta co: AB = √5 va AC = 2√5

find the missing length indicated​

Answers

Answer:

192

Step-by-step explanation:

Apply the geometric mean formula to solve for x, which is the altitude of the right triangle.

The formula is:

h = √(mn)

h = x = ?

m = 144

n = 400 - 144 = 256

Substitute

h = √(256*144)

h = √36,864

h = 192

Therefore, x = 192

Find the cross product (7,9, 6)x 44, 1, 5). Is the resulting vector perpendicular to the given vectors?
a. (-57, 43, 33); yes
c. (33. – 59, - 57); no
b. (39, – 59,43), yes
d. (33, - 57, 49); no

Answers

Answer:

Option B, (39, -59, 43)

Answered by GAUTHMATH

#1 with work please

Answers

Answer:

-19

Step-by-step explanation:

5v+3w

Let v = -5 and w=2

5(-5) + 3(2)

Multiply first

-25 + 6

The add

-19

1. Evaljate 5v +3w for v = -5 and w = 2

plug-in

5(-5) +3(2)

-25 +6

Answer: -19

2. Simplify the expression 8(e -1) + 2(e -1)

Distribute

8(e -1) + 2(e -1)

8e -8 + 2e -2

10e -10

Answer:  10e -10

help help help ty ttttyyy​

Answers

Answer:

ମୁଁ ବର୍ତ୍ତମାନ ଦୁ sorry ଖିତ ଗର୍ଲି ନୁହେଁ |

Step-by-step explanation:

ନିମୋନୋଲ୍ଟ୍ରାମିକ୍ରୋସ୍କୋପିକ୍ସିଲିକୋଭୋଲକାନୋକୋନିଓସିସ୍ |

please help me someone! asap!

Answers

Answer:

please help me to solve these qustions

7. Which dimensions result in the minimum perimeter for a rectangle with area 42.0 cm2?

a. l = 9.00 cm, w = 4.67 cm c. l = 1.00 cm, w = 42.00 cm
b. l = 5.00 cm, w = 8.40 cm d. l = 6.48 cm, w = 6.48 cm

8. The minimum perimeter occurs when the rectangle is a _____.

a. quadrilateral c. parallelogram
b. triangle d. square

Answers

9514 1404 393

Answer:

  7. d. l = 6.48 cm, w = 6.48 cm

  8. d. square

Step-by-step explanation:

For a given area, the perimeter can always be shortened by reducing the length of the long side and increasing the length of the short side. When you get to the point where you can't do that, then you have the minimum perimeter. You will reach that point when the sides are the same length: the rectangle is a square.

__

7. In light of the above, the best dimensions are √42 ≈ 6.48 cm for length and width.

__

8. In light of the above, the shape is a square.

_____

The attached graph shows the length of one side (x) and the associated perimeter. The other side is 42/x, which will also be 6.48.

guys this is going to be the death of me

Answers

Answer:

mine too

Step-by-step explanation:

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