1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
madam [21]
3 years ago
15

The sum of two consecutive even integers is 22 less than four times the smaller of the two numbers.Find the larger of the two in

tegers
Mathematics
1 answer:
GarryVolchara [31]3 years ago
6 0
The larger integer is 14

12+14=26
12*4=48
48-26=22
You might be interested in
Solve x2 + 14x + 17 = –96 for x
jarptica [38.1K]

For this case we have to:

Given the quadratic equation of the form:

ax ^ 2 + bx + c = 0

The roots are given by:

x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}

If we have: x ^ 2 + 14x + 17 = -96

We can rewrite it in the following way:

x ^ 2 + 14x + 17 + 96 = 0\\x ^ 2 + 14x + 113 = 0

Where:

a = 1\\b = 14\\c = 113

Where we have:

x = \frac {-14 \pm \sqrt {(14) ^ 2-4 (1) (113)}} {2 (1)}

x = \frac {-14 \pm \sqrt {(196-452)}} {2}

x = \frac {-14 \pm \sqrt {-256}} {2}

By definition: \sqrt {-1} = i

x = \frac {-14 \pm \sqrt {256} i} {2}

x = \frac {-14 \pm16i} {2}

x = \frac {-14} {2} \pm \frac {16i} {2}

x = -7 \pm8i

Thus, the roots are given by imaginary numbers:

x_ {1} = - 7 + 8i\\x_ {2} = - 7-8i

Answer:

x_ {1} = - 7 + 8i\\x_ {2} = - 7-8i


5 0
3 years ago
Read 2 more answers
Standard form of a point that goes through-2,4 and the slope is -1/7
lesantik [10]

<u>Answer:</u>

Standard form of a line passing through (-2, 4) and having slope of  -1/7 is x + 7y = 26

<u>Solution:</u>

Given that we need to determine standard form of a line that goes through (-2 , 4) and slope of the line is -1/7

Standard form of line passing through point ( a , b ) and having slope m is given by

(y – b) = m ( x – a)   --------(1)

In our case given point is ( -2 , 4 ) and slope is -1/7 that means

a = -2 , b = 4 , m = -(1/7)

On substituting given value of a , b and m is equation (1) we get

(y-4)=\left(-\frac{1}{7}\right)(x-(-2))

=>(y-4)=\left(-\frac{1}{7}\right)(x+2)

=> 7( y - 4 ) = -x – 2

=> 7y + x = -2 + 28

=> x + 7y = 26  

Hence standard form of a line passing through (-2,4) and having slope of –(1/7) is x + 7y = 26

8 0
3 years ago
What's the easiest way to rotate a shape into it self
Hitman42 [59]

Rotate the shape about its central axis by making it stationary.

4 0
2 years ago
Given the image below, , , are perpendicular bisectors of △.
Neko [114]

Answer:

just want

Step-by-step explanation:

the points are great

8 0
2 years ago
The quotient of two numbers is 4, and the difference is 3. What are the two numbers
Pie

Answer:

The numbers are 4 and 1

Step-by-step explanation:

Let x and y be the numbers

Quotient is division

x/y = 4

x-y =3

Taking the first equation and multiplying each side by y

x = 4y

Replacing into the second equation

4y -y = 3

3y = 3

Divide by 3

3y/3 = 3/3

y=1

Now we can find x

x -y =3

x-1 =3

Add 1 to each side

x= 4

6 0
2 years ago
Other questions:
  • Members of a high school club sold hamburgers at a baseball game to raise money. They sold 278 hamburgers. If the buns come in p
    10·2 answers
  • Calculate the following percent using fraction equivalents. 50% of 64
    6·1 answer
  • You previously found the mean of this data set. Use that in answering the question. 63, 89, 92, 73, 79, 72, 34, 36, 94, 21, 25,
    10·1 answer
  • If andrew divides his cards into groups of 9 and ends up with 6 groups how many cards does he have?
    11·2 answers
  • PLEASE HELP! Which country had the highest percentage of railroad track miles in comparison to total square miles in 1870? What
    7·2 answers
  • How did Katherine Johnson’s work in math affect us today?
    12·1 answer
  • A fish tackle box is 13 inches long, 6inches wide, and 2 1/2 inches high. What is the volume of the tackle box
    12·2 answers
  • On January 1, 2021, the Coldstone Corporation adopted the dollar-value LIFO retail inventory method. Beginning inventory at cost
    6·1 answer
  • A right triangle has legs that measure 8 feet and 6 feet. What is the length of the hypotenuse?
    11·1 answer
  • Larry wants to purchase birthday gifts for his twin sisters. One sister likes daises which costs $2.00 per stem and the other li
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!