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
emmasim [6.3K]
3 years ago
11

Roy is 30 miles from dallas ready to leave for pecos

Mathematics
1 answer:
12345 [234]3 years ago
4 0

Answer:

It represents the 270 miles that Roy and Travis must travel in 4 hours in order to meet somewhere along the highway.

Step-by-step explanation:

From the information given, the point of interception (4, 270) represent the number of distance, 270 miles, that both Roy and Travis must travel in 4 hours in order to meet along the highway where Roy will give Travis the key to a treasure chest to Roy.

You might be interested in
Find a factorization of x² + 2x³ + 7x² - 6x + 44, given that<br> −2+i√√7 and 1 - i√/3 are roots.
Levart [38]

A factorization of x^4+2x^3+7x^2-6x+44 is (x^2+4x+11)(x^2-2x+4).

<h3>What are the properties of roots of a polynomial?</h3>
  • The maximum number of roots of a polynomial of degree n is n.
  • For a polynomial with real coefficients, the roots can be real or complex.
  • The complex roots of a polynomial with real coefficients always exist in a pair of conjugate numbers i.e., if a+ib is a root, then a-ib is also a root.

If the roots of the polynomial p(x)=ax^4+bx^3+cx^2+dx+e are r_1,r_2,r_3,r_4, then it can be factorized as p(x)=(x-r_1)(x-r_2)(x-r_3)(x-r_4).

Here, we are to find a factorization of p(x)=x^4+2x^3+7x^2-6x+44. Also, given that -2+i\sqrt{7} and 1-i\sqrt{3} are roots of the polynomial.

Since p(x)=x^4+2x^3+7x^2-6x+44 is a polynomial with real coefficients, so each complex root exists in a pair of conjugates.

Hence, -2-i\sqrt{7} and 1+i\sqrt{3} are also roots of the given polynomial.

Thus, all the four roots of the polynomial p(x)=x^4+2x^3+7x^2-6x+44, are: r_1=-2+i\sqrt{7}, r_2=-2-i\sqrt{7}, r_3=1-i\sqrt{3}, r_4=1+i\sqrt{3}.

So, the polynomial p(x)=x^4+2x^3+7x^2-6x+44 can be factorized as follows:

\{x-(-2+i\sqrt{7})\}\{x-(-2-i\sqrt{7})\}\{x-(1-i\sqrt{3})\}\{x-(1+i\sqrt{3})\}\\=(x+2-i\sqrt{7})(x+2+i\sqrt{7})(x-1+i\sqrt{3})(x-1-i\sqrt{3})\\=\{(x+2)^2+7\}\{(x-1)^2+3\}\hspace{1cm} [\because (a+b)(a-b)=a^2-b^2]\\=(x^2+4x+4+7)(x^2-2x+1+3)\\=(x^2+4x+11)(x^2-2x+4)

Therefore, a factorization of x^4+2x^3+7x^2-6x+44 is (x^2+4x+11)(x^2-2x+4).

To know more about factorization, refer: brainly.com/question/25829061

#SPJ9

3 0
1 year ago
Read 2 more answers
Help help help help help help help
earnstyle [38]

Answer:

The first one is 90, and the second one is 150

Explanation:

40% of 90 is 36, and

40% of 150 is 60.

8 0
2 years ago
Rewrite the equation C = 3.59q + 54,293 as a function of q.
MAVERICK [17]

The equation, when rewritten would be written as:    

q = ( c - 54293 ) / 3.59

<h3>How to rewrite the equation in order to make q the subject</h3>

C = 3.59q + 54,293

We have the equation above, what we would have to do now would be to write the equation in such a way that q would be the subject of the formula.

This would be

3.59q = C -  54,293

Next we have to divide through by the value of q

q = \frac{C - 54293 }{3.59}

Read more on subject of formula here: brainly.com/question/21140562

#SPJ1

7 0
1 year ago
A picture frame has a perimeter of 62 inches. The difference between the
castortr0y [4]
Answer: each width = 10, each length = 21

Explanation: from the question we know that L=2w + 1 and we also know that a rectangle has the perimeter of 62 when we plug it in the equation we will get 62= 2(2w+1+w) we will multiply the 2 now and we will get 62=4w+2+2w we will combine like terms and we will minus two from both sides ending up with 60=6w we will divide six from both sides and we will get w=10 then we will use l=2w+1 to find the length and it will be 21
8 0
3 years ago
A triangle in the coordinate plane has vertices ????(0,10), ????(−8,8), and ????(−3,5). Is it a right triangle? If so, at which
GaryK [48]

Answer:

It is a right triangle, the right angle is at the point (-3, 5)

Step-by-step explanation:

The first step is to locate the points of the vertices in a plane, in this case they are (0.10), (-8.8) and (-3.5). The desmostration of this is shown in the attached image.

As we can see it is formed a right triangle (the figure outlined in red), and the rigth angle is the one at the point (-3,5).

5 0
2 years ago
Other questions:
  • A spherical weather balloon is being inflated. The radius of the balloon is increasing at the rate of 7 cm/s. Express the surfac
    15·2 answers
  • A Food Marketing Institute found that 30% of households spend more than $125 a week on groceries. Assume the population proporti
    8·1 answer
  • Jeannie is 5 years older than her younger sister April. Together, Jeannie and April’s ages add to 41. How old is April?
    6·1 answer
  • Find the gcf of 15 and 85
    7·1 answer
  • 1) Suppose there are 2 blue, 3 green, and 5 yellow marbles in a bag. One marble will be drawn from the bag. List the sample spac
    8·1 answer
  • Find the equation of the line that contains the given points.<br><br> P1 (4,5) P2 (-4,3)
    9·1 answer
  • Can someone please help me out
    13·1 answer
  • The sum of Scott's age and Greg's age is 33. If Greg is represented by g, Scott's age is represented by
    14·1 answer
  • Can you help me please
    8·1 answer
  • PLEASE HELP ME PLEASE!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!