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
kondor19780726 [428]
3 years ago
12

The square of a number is 12 more than four times the number?

Mathematics
1 answer:
Bas_tet [7]3 years ago
4 0
X^2 = 4x + 12
x^2 - 4x - 12 = 0, use the quadratic equation
Solve for x over the real numbers:
(x - 6) (x + 2) = 0
Split into two equations:
x - 6 = 0 or x + 2 = 0
Add 6 to both sides:
x = 6 or x + 2 = 0
Subtract 2 from both sides:
Answer:  x = 6 (or x = -2 only positive solution)
You might be interested in
Find the missing side lengths
Mashcka [7]

Answer:

y = 9√3

x = 18

Step-by-step explanation:

taking 30 as reference angle

b = y

p = 9

h = x

so

tan30 = p/b

1/√3 = 9/b

or, b = 9√3

so

h^2 = p^2 + b^2\\x^2 = 9^2 + y^2\\or, x^2 = 81 + (9\sqrt{3} )^2\\or, x^2 = 81 + 243\\or, x ^2 = 324\\or, x =\sqrt{324} \\\\so x = 18

7 0
3 years ago
Recall from Intermediate Algebra that two non-vertical lines are perpendicular if and only if they have negative reciprocal slop
OLEGan [10]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The line is y  =  -4 x

Step-by-step explanation:

From the question we are told that

The line is y  =  \frac{1}{4} x  + 8

The point is P(0,0 )

Generally the equation for a line is yn =  mx  + c

Now comparing this with the given equation we see that

m  =\frac{1}{4} =  slope

C  =8  =  intercept

Generally the slope of the perpendicular to the given line is mathematically evaluated as

m_1  = -  \frac{1}{m}

=> m_1  = -  \frac{1}{ \frac{1}{4}}

=> m_1  = -4

Generally from the univesal equation of a line and the given point we have that

y = mx + c at p(0,0) and m_1 =  -4 is

0 = -4 (0 ) + c

=> c = 0

Hence the equation perpendicular to the line given at the point given is

y  =  -4 x

8 0
3 years ago
Which equation shows this relationship? 8 less a number (n) is 21.
GarryVolchara [31]
N-8=21 should be the answer
8 0
4 years ago
Hiking up a mountain, you notice that the air temperature drops 10°C for every 1,000 meters increase in elevation. Write a multi
den301095 [7]

Answer:

30,000

Step-by-step explanation:

7 0
3 years ago
Please Help Me With This~JT
andriy [413]

Answer:

Top Row Going Left to Right: Circle, Triangle, Square, Pentagon, Hexagon, Octagon

Bottom Row Going Left to Right, Sphere, Cone, Cylinder, Pyramid, Cube, Triangular Pyramid.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • Write two verbal expressions for b+30.​
    7·2 answers
  • A rectangular pyramid has a base with dimensions 5 inches by 7 inches. The height of the pyramid is unknown. If the volume of th
    15·2 answers
  • The circumference of the great wheel was twelve thousand and forty-one thousandths
    9·1 answer
  • (Photo)
    7·2 answers
  • Determine the equation for the parabola graphed below?
    8·2 answers
  • 3h-5h+11=17 Solve Equation.
    5·1 answer
  • It costs 3
    7·1 answer
  • 60 votes are required to change a village parking law. if 9/20 of the 100 people in a village vote to change the law, are there
    15·2 answers
  • Distance around an unmarked circle can be measured (always, sometimes, never)
    9·2 answers
  • For purposes of making on-campus housing assignments, a college classifies its students as Priority A (seniors), Priority B (jun
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!