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
masya89 [10]
3 years ago
11

Can anyone help me out with this please

Mathematics
1 answer:
musickatia [10]3 years ago
4 0
First, let's factor the equation to make it easier to solve for the intercepts:

f(x) = x² + 12x + 32
f(x) = (x + 8)(x + 4)

To find the x-intercepts of a function, set the y value (f(x)) to 0:

0 = (x + 8)(x + 4)
x = -8, -4

Similarly, to find the y-intercept, set the x values to 0:

f(x) = (0 + 8)(0 + 4)
f(x) = (8)(4)
f(x) = 32

*Note that you can see 32 as the y-intercept in the parabola's original equation
You might be interested in
A right triangular prism is shown. A right triangular prism is shown. The right triangles have sides with lengths 15 and 8. The
Strike441 [17]

Answer:

900 cubic units

Step-by-step explanation:

V= base area *height of prism

Area of base is 1/2*15*8 =60

V=60*15

V=900

3 0
3 years ago
Read 2 more answers
Which equation has a graph that is perpendicular to the graph of -x + 6y = -12?
serious [3.7K]

Answer:

c) 6x + y = -52  is required equation perpendicular to the given equation.

Step-by-step explanation:

If the equation is of the form    : y = mx  + C.

Here m = slope of the equation.

Two equations are said to be perpendicular if the product of their respective slopes is -1.

Here, equation 1 :  -x + 6y = -12

or, 6y = -12  + x

or, y = (x/6)  - 2

⇒Slope of line 1 = (1/6)

Now, for equation 2  to be  perpendicular:

Check for each equation:

a. x + 6y = -67       ⇒  6y = -67  - x

or, y = (-x/6)  - (67/6)      ⇒Slope of line 2 = (-1/6)

but \frac{1}{6} \times \frac{-1}{6}  \neq -1

b. x - 6y = -52   ⇒  -6y = -52  - x

or, y = (x/6)  + (52/6)      ⇒Slope of line 2 = (1/6)

but \frac{1}{6} \times \frac{1}{6}  \neq -1

c. 6x + y = -52    

or, y =y = -52  - 6x      ⇒Slope of line 2 = (-6)

\frac{1}{6} \times (-6)  =  -1

Hence, 6x + y = -52  is required equation 2.

d. 6x - y = 52  ⇒  -y = 52  - 6x

or, y = 6x   - 52      ⇒Slope of line 2 = (6)

but \frac{1}{6} \times 6  \neq -1

Hence,  6x + y = -52  is  the  only required equation .

3 0
3 years ago
Read 2 more answers
6x+4=5x-6 what is the solution for it
Oksi-84 [34.3K]

Answer:

x=-10

Step-by-step explanation:

6x+4=5x-6

Subtract 5x from each side

6x-5x+4=5x-5x-6

x +4 = -6

subtract 4 from each side

x+4-4 = -6-4

x=-10

8 0
3 years ago
Read 2 more answers
Write the numbers in order from least to greatest. 8/10, -.82, 2.5, -9.5
Art [367]

Answer: -9.5, -.82, 8/10, 2.5

Step-by-step explanation:

-9.5 is the least because the bigger the negative number is the smaller it's value is (opposite of positive numbers)

-.82 same thing

8/10 or .8

2.5 same thing as 2.50 so what is greater $2.50 or $0.80 exactly 2.50 is greater so it's the greatest

6 0
3 years ago
A ball is thrown with an initial velocity of 70 km per second, at an angle  of 35° with the horizontal. Find the vertical and ho
oksian1 [2.3K]

Answer:

i. The horizontal component of the ball = 15.8

ii. The vertical component of the ball = 11.2

Step-by-step explanation:

A thrown ball is an example of a projectile, whose motion can be explained with respect to both horizontal and vertical components.

Horizontal component of the ball = U Cos θ

Vertical component of the ball = U Sin θ

where U is the initial velocity of the ball, and θ is the angle of projection.

Thus for the given question,

U = 70 km/hr (19.44 m/s)

θ = 35°

So that;

i. The horizontal component of the ball = 19.44 Cos 35°

                                               = 19.44 x 0.8192

                                               = 15.785

The horizontal component of the ball = 15.8.

ii. The vertical component of the ball = 19.44 Sin 35°

                                                = 19.44 x 0.5736

                                                = 11.151

The vertical component of the ball = 11.2

5 0
3 years ago
Other questions:
  • During with interval was the bicyclists speed the greatest?
    8·1 answer
  • Geometry help help help
    11·1 answer
  • What is 20% of 80. ​
    15·1 answer
  • The term for the type of people of degrees earned by a group of people is?
    15·2 answers
  • 3. 6076 divided by 98
    10·1 answer
  • How would I go about solving this one problem<br><br> 1+4x = -5+7x
    15·1 answer
  • One-fifth of the sum of q and 4
    10·1 answer
  • If f(x, y, z) = x sin(yz), (a) find the gradient of f and (b) find the directional derivative of f at (2, 4, 0) in the direction
    14·1 answer
  • Y is directly proportional to x
    12·1 answer
  • The function h is defined by the following rule.<br> Find h(x) for each x-value in the table.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!