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
Black_prince [1.1K]
3 years ago
5

Y=-x squared - 6x -5 what is the vertex and x-intercepts

Mathematics
1 answer:
Alenkasestr [34]3 years ago
6 0
y=-x ^2  - 6x -5 \\ \\  standard \  form \\ \\y=ax+bx+c \\ \\V(p,q)\\ \\ p=\frac{-b}{2a}=\frac{-(-6)}{-2}=3\\ \\\Delta = b^{2}-4ac =14^{2}-4*1*(-51)=196+204=400 \\ \\q=\frac{-\Delta }{4a} =\frac{-400}{4}=100\\ \\V( 3,100)\\ \\x_{1}=\frac{-b-\sqrt{\Delta }}{2a} =\frac{-14- \sqrt{400}}{2}=\frac{-14-20}{2}= \frac{-34}{2}=-17\\ \\x_{2}=\frac{-b+\sqrt{\Delta }}{2a} =\frac{-14+ \sqrt{400}}{2}=\frac{-14+20}{2}= \frac{6}{2}=3
You might be interested in
Trigonometry<br> y=? x=?
tino4ka555 [31]

Answer:

y=9cm

x=90°

Step-by-step explanation:

y=9cm(being perpendicular)

x=90°=being perpendicular)

3 0
2 years ago
If the class contains 11 boys and 14 girls, what is the probability of calling on a girl?
Ronch [10]

Answer: P (girl) = 14 / 25

Concept:

Here, we need to know the idea of probability.  

Probability is a measure of the likelihood of an event to occur.  

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

Number of boys = 11

Number of girls = 14

Total number of people = 11 + 14 = 25

P (girl) = Favorable / Total (refer to the attachment)

P (girl) = 14 / 25

Hope this helps!! :)

Please let me know if you have any questions

8 0
3 years ago
Set F1 = 5N at 0 degrees, F2= 5N at 90 degrees, F3 = 5N at 270 degrees and run the simulation. Using trigonometry, what net forc
Mrac [35]

Answer: find the solution in the explanation

Step-by-step explanation:

Let's use resolution of forces by resolving into x - component and y- component.

X - component.

Sum of forces = F1 - F3 - F4cos 15

Sum of forces = 0

5 - 5 - 0.97F4 = 0

- 0.97 F4 = 0

F4 = 0

Y - component

Sum of forces = F2 + F4 sin 15

Sum of forces = 0

5 + 0.26F4 = 0

0.26 F4 = -5

F4 = -5/0.26

F4 = -19.23 N

Simulating F4 back into the equation

Sum of forces = F1 - F3 - F4cos 15

- F4cos Ø = 0

- (-19.23) cos Ø = 0

Cos Ø = 0

Ø = 1

Does the angle formed approximate 15 degrees ? NO

7 0
3 years ago
HELP PLEASE! FAST! WILL GIVE 5 STARS AND THANKS!<br> 5/6 x 18
Yuri [45]

Answer:

15

Step-by-step explanation:

5/6 * 18

Rearranging

5 * 18/6

5 *3

15

3 0
3 years ago
In early spring, you are wanting to purchase 6 potted rose plants. The plants to choose from come in 8-inch pots that sell for $
topjm [15]
Things we know:
Six total pots = # of 10" + # of 8"
$78 total = cost of 10" + cost of 8"

So:
6 = x +y
and
78 = x*(cost of x) + y * (cost of y)
78 = x*12 + y*15

We need:
x+y=6  AND 12x+15y=78

So our answer can only be B. 
6 0
2 years ago
Other questions:
  • BRAINLIEST OFFERED!<br> Solve and Show work!! :<br> 2x²-1=x²+4x+11
    5·1 answer
  • Add three fraction together to get a whole number using the numbers 1-9 only once
    10·1 answer
  • Your doctor prescribes you to take 400 milligrams of medicine every 8 hours. How many ounces of medicine do you take in a day?
    14·2 answers
  • 5 1/2 + 5 1/2 + 5 1/2 + 3 cm =
    15·1 answer
  • The length of a rectangle is five times its width.
    13·1 answer
  • Draw the image of quadrilateral ABCD under the translation (x,y) ——&gt; (x + 4, y - 3)
    10·1 answer
  • Question is in the screenshot
    10·1 answer
  • write an Equation for the angle relationship shown in the figure and solve for x. Find the measures of RQS and TQU?
    15·1 answer
  • A little help? the question is attached
    12·1 answer
  • Val is going to plant b vegetable seeds in one garden and 3b + 10 vegetable seeds in another. How
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!