Which equation has the same solution as x2 + 16x – 11 = 4?

Answers

Answer 1

Answer:

x^2 + 16x - 15 = 0.

Step-by-step explanation:

x^2 + 16x – 11 = 4    Subtract 4 from both sides:

x^2 + 16x - 15 = 0  is one equation with  the same roots.

Also any equation which is a multiple of the above will have the same roots. For example if we multiply by 3:

3x^2 + 48x - 45 = 0.


Related Questions

solve the equation-4(x+10)-6=-3(x-2)

Answers

Answer: x=  -52

Step-by-step explanation:

The answer for this math problem is -52

In circle J with m \angle HJK= 50m∠HJK=50 and HJ=16HJ=16 units, find the length of arc HK. Round to the nearest hundredth.

Answers

Answer:

13.96

Step-by-step explanation:

length of an arc = theta/360 * 2πr

Given

m<HJK = 50

HJ = 16units

Required

length of arc HK

arc HK = 50/360 * 2(3.14)(16)

arc HK = 5/36 * 100.48

arc HK = 502.4/36

arcHK = 13.96

hence the length of arcHK to nearest hundredth is 13.96

State if the two triangles are congruent. If they are, state how you know
A) SSS
C) ASA
B) Not congruent
D) SAS

Answers

Answer:

C) ASA

Step-by-step explanation:

angles are indicated equal and they share the common diagonal between those angles, so ASA

The given two triangles are congruent due to the ASA postulate, which is the correct answer that would be an option (C).

What are congruent triangles?

Two triangles are said to be congruent if their corresponding sides and angles are equal.

The given triangles are given in the figure.

We can see that there are two angles that are the same and one side is the same.

According to ASA, two triangles are congruent if any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle.

So, we conclude that the given two triangles are congruent.

Hence, the given two triangles are congruent due to the ASA postulate.

Learn more about congruent triangles here:

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Emma earned 12/15 on an assignment about aggressive kangaroos. What was her grade as a percent?

Answers

Answer:

80%

Step-by-step explanation:

percentage is 100

therefore 12/15 x100 =80%

Answer:

Emma's grade:

80%

Step-by-step explanation:

12 ÷ 15 = 0.8

For example:

When trying to find the percent, you divide the 12 by 15 and the outcome should be 0.8.

Once you have the decimal you move the decimal point to the right 2 times and you get your answer. (80) or (0.80)

Let me know if this helps!

"La suma de la medida de los ángulos interiores de cualquier triángulo, es igual a dos triángulos rectos, o sea a 180°."

Answers

Answer:

Efectivamente, la suma de la medida de los ángulos internos de cualquier figura triangular es igual a 180º. Ahora bien, la oración posee un error de redacción, pues tanto los triángulos rectos como los equiláteros o los isósceles poseen dicha característica, es decir, no es únicamente una característica de los triángulos rectos. Además, la suma de los ángulos interiores de dos triángulos rectos sería igual a 360º, no a 180º.  

pleasee helpp, thank you!!

Answers

Answer:

- 1/4

Step-by-step explanation:

i HOPE it helps!!!:)))

Find the exact values of csc and sec

Answers

Answer:

cosec theta = 5/4

sec theta = 5/3

Step-by-step explanation:

Given that;

cot θ = 3/4

1/tanθ = 3/4

tanθ = 4/3

since tanθ = opp/adj

opp = 4

adj = 3

hyp^2 = 4^2 + 3^2

hyp^2 = 16+9

hyp^2 = 25

hyp = √25

hyp = 5

sin theta= opp/hyp

sin theta = 4/5

cosec theta = 1/sin theta

cosec theta = 1/(4/5)

cosec theta = 5/4

Get sec theta;

sec theta = 1/costheta

sec theta = 1/(3/5)

sec theta = 5/3

You are wrapping the boxed DVD collection as a present. What is the least amount of wrapping paper needed to wrap the box?


Here are the measurements: 1.5 , 8 , 6
The least amount of wrapping paper needed is how many
square inches?

Answers

Answer:

i am almost positive its 448

Step-by-step explanation:

The surface area of the box is 448 square inches so that is the least amount of paper needed to cover the box. A gift box is the shape of a rectangular prism measures 8 inches by 8 inches by 10 inches.

Answer:138

Step-by-step explanation:

x^2 + 6x + 5 = 0 by completing the square. What are the solutions?

Answers

Answer: (X+1)(X+5)

I factored it out.

An outlier will most affect the___

A. Mean
B. Median
C. Mode

Answers

I think it’s mean sorry if I’m wrong
I think it might be A

ANSWER I WILL GIVE U BRIANLIEST!!!

Answers

Answer:

9

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 9 when x = - 3

9 = - 3k ( divide both sides by - 3 )

- 3 = k

y = - 3x ← equation of variation

When y = - 27 , then

- 27 = - 3x ( divide both sides by - 3 )

9 = x

HELPPP PLS what is the circumference of 11 , 8 ,and 6 !

Answers

Answer:

C≈34.56, C≈25.13 and C≈18.85

Step-by-step explanation:

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·11≈34.55752

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·8≈25.13274

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·6≈18.84956

X^2-3x=7/4
Solve by completing the square

Answers

Answer:

Step-by-step explanation:

X^2-3x=7/4 should first be rewritten in standard form, which here would be:

x^2 - 3x - 7/4 = 0.

1.  Identify the coefficient of the x term and take half of that number:

    -3/2

2. square this result:  (-3/2)^2 = 9/4

3.  add this last result, 9/4, between the -3x term and the -7/4 term, and then      subtract it as shown:

     x^2 - 3x + 9/4 - 9/4 - 7/4 = 0

4.  Rewriting the first 3 terms as the square of a binomial, we get:

    (x - 3/2)^2  -  16/4 = 0, or    (x - 3/2)^2  =  16/4

5.  Take the square root of both sides, obtaining:

     x - 3/2 = ±√4/2 or ±√2

6.  Write out the two roots:  x = 3/2 + √2

     and                                   x = 3/2 - √2

Using the graph below, calculate the average rate of change for f(x) from
x = 0 to x =2

1) -4

2) -2

3) 2

4) 4

Answers

Answer:

4

Step-by-step explanation:

Average rate of change = [tex] \frac{f(b) - f(a)}{b - a} [/tex]

Where,

a = 0,

f(a) = f(0) = -2 (from the graph given)

b = 2,

f(b) = f(2) = 5 (from the graph)

Plug in the values

Average rate of change = [tex] \frac{5 - (-2)}{2 - 0} [/tex]

[tex] = \frac{7}{2} [/tex]

= 3.5 ≈ 4 (approximated)

Please help me please I really need help please

Answers

Answer:

See attached

Step-by-step explanation:

Solution is in the attached picture

The lunch choices last Friday were mushroom or pepperoni pizza. The cafeteria made 50 pizzas in all, 10% of which were mushroom pizzas. How many mushroom pizzas did the cafeteria make?

Answers

Answer:

5 mushroom pizzas

Step-by-step explanation:

Find how many mushroom pizzas they made by finding 10% of 50:

50(0.1)

= 5

So, the cafeteria made 5 mushroom pizzas

Answer:

50×10/100= 5

The cafeteria made 5 mushroom pizza

Bob went on 8 hikes.
The hikes were: 2 miles, 5 miles, 1 miles, 5 miles, 1 miles, 2 miles, 3 miles, 4 miles
What was the range of the lengths of Bob's hikes?
2 miles
3 miles
4 miles
5 miles

Answers

The range is the difference between the longest hike and the shortest hike.

Longest = 5

Shortest = 1

Range = 5-1 = 4 miles


Quadrilateral A’B’C’D’ is a dilation of ABCD about point F.

Please Help. Urgent


What is the scale factor?

A. 0.4
B. 1.5
C. 2.5
D. 5

Answers

The answer to the equation is 2.5

Dave jarred 12 liters of jam after 6 days. How much jam did Dave jar if he spent 9 days making jam?

Answers

Answer:

18 liters of jam after 9 days

Step-by-step explanation:

12 liters = 6 days

12 liters ÷ 6 days = 2 liters per day

2 liters per day x 9 days = 18 liters of jam in 9 days

Dave jarred 18 liters of jam in 9 days

Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

Find the volume of a right rectangular prism if the dimensions of the base are 4 centimeters by 9 centimeters and the height is 11 centimeters.​

Answers

Answer:

396 cubic centimeters

Step-by-step explanation:

Given that

The dimension of the base is 4 centimeter by 9 centimeter and the height is 11 centimeter

We need to find out the volume of the right rectangular prism

We need to apply the following formula

As we know that

Volume = lwh

here

l denotes the length

w denotes the width

And, h denotes the height

= (4) (9) (11)

= 396 cubic centimeters

Answer:

A 396 cm^3 is correct

Step-by-step explanation:

160 is what percentage of 40?​

Answers

Answer:

400

Step-by-step explanation:

Answer:

400%

Step-by-step explanation:

If you meant what percentage 40 is of 160, its 25%

40/160= 1/4= 25%

160/40= 4/1= 400%

Kim and Kate sell gym memberships. Kim earned $50 her first day of work and $75 each day after that. Kate earned $35 her first day of work and $75 each day after that. Part A Find the pattern for calculating the amount that Kim and Kate each earn. Use the drop-down menus to complete the statements. For Kim, start at 50 and add 75 for each day after the first day. For Kate, start at 35 and add 75 for each day after the first day. Part B How much will each have earned after 4 days? Drag numbers to complete the sentence. Numbers may be used once, more than once, or not at all. 180 225 260 275 330 375 Kim will have earned $ and Kate will have earned $ after 4 days.

Answers

For Kim, start at  50  and add  75  for each day after the first day.

For Kate, start at  35  and add  75  for each day after the first day.

Part B

How much will each have earned after 4 days? Drag numbers to complete the sentence. Numbers may be used once, more than once, or not at all.

Kim will have earned $ 275  and Kate will have earned  260  after 4 days.

Henri buys 126 inches of a fabric that costs $12 for each yard. How much dos Henri pay for the fabric

Answers

Answer: $47.28

Step-by-step explanation:

There are 126 inches of fabric.

You need to convert this to yard as that is the pricing unit.

1 yard = 36 inches

126 inches is:

= 126/32

= 3.94 yards

Cost is $12 per yard so Henry pays:

= 12 * 3.94

= $47.28

simplify this product
(v+6)(v-6)

Answers

v(squared) - 36

multiply v times v, v times -6, 6 times v, 6 times -6 and add them all together

If the measure of arc AD is 65 degrees and the measure of arc BC is 45 degrees, what is the measure of angle BEC?

Answers

Answer:

[tex]\angle BEC=55 \textdegree)[/tex]

Step-by-step explanation:

From the question we are told that:

Arc [tex]AD =65 \textdegree[/tex]

Arc [tex]BC =45 \textdegree[/tex]

Given The angle of intersecting chords theorem

Generally the equation for angle BEC is mathematically given by

 [tex]\angle BEC=\frac{1}{2} (\angle of arc AD+\angle of arc BC)[/tex]

 [tex]\angle BEC=\frac{1}{2} (65 \textdegree+45 \textdegree)[/tex]

 [tex]\angle BEC=55 \textdegree)[/tex]

for the following question, find the volume of the given prism. round to the nearest tenth if necessary

Answers

Answer:

I'm pretty sure its 2.028.0

Step-by-step explanation:

because .5 times 13 times 13 times 24 is 2028

and when you round to the nearest tenth it is 2.028

so yeah... good luck bestie <333

Every two out of three kids sang at the talent show. What percent of the kids did not sing at the talent show? (round)

Answers

66.7 %
convert to decimal the multiply by 100

33.3% do not sing in the talent show.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Total number of kids = 3

Number of kids who sang = 2

The number of kids who do not sing.

= 3 - 2

= 1

The percentage of kids who do not sing.

= 1/3 x 100

= 33.33%

Thus,

33.3% do not sing in the talent show.

Learn more about percentages here:

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k less than twenty four

Answers

Answer: K-24

Step-by-step explanation: It's basically just subtracting by replacing the number with one of your answer choices or its an expression.

Answer:

24 - k

Explanation: k less than twenty four means 24 - k.

What decimal is equivalent to the fraction 12/15?

A. 0.07
B. 0.08
C. 0.7
D. 0.8

Answers

Your answer is going to be D. 0.8 you can simply divide 12 over 15
Answer: 0.8

Divide numerator (12) by denominator (15) which will get you to 0.8.

Jerry is charged for $2 for every day he is late paying his cable bill. Which integer correctly shows how much Jerry owes if he is 12 days late paying his cable bill?

Answers

Answer:

24

Step-by-step explanation:

we know that for every day he is late, he is charged 2 dollars. Since he is 12 days late, we can simply do the following:

$2 × 12 days = $24

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