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
motikmotik
3 years ago
8

This system has one solution. {y=6x−11y=x2+4x−10 what is the y-coordinate of the solution?

Mathematics
2 answers:
Ede4ka [16]3 years ago
8 0

Answer:

y-coordinate of the solution is, -5

Step-by-step explanation:

Given the system of equations:

y = 6x-11

y= x^2+4x-10

Equate these two equations we have;

6x-11 = x^2+4x-10

Subtract 6x from both sides we have;

-11 = x^2-2x-10

Add 11 both sides we have;

0= x^2-2x+1

Using the identity rule:

(a-b)^2 = a^2-2ab+b^2

then;

x^2-2x+1 = 0

⇒(x-1)^2 = 0

⇒x-1 = 0

⇒x = 1

Substitute the value of x in y = 6x-11 we have;

y = 6(1)-11 = 6-11 = -5

therefore, the  y-coordinate of the solution is, -5

Pavel [41]3 years ago
6 0
I took the test and the answer was

-5
You might be interested in
2,826 rounded to the nearest tenth
jasenka [17]

Answer:

2,826

Step-by-step explanation:

A tenth is the first place value after the decimal point

In this case, 2,826.<u>0</u>0

To round a number to the tenths place, we look at the hundredths place

If the number is 5 or more, we add 1 to the tenths place, and leave the numbers to the right 0's

If the number is 4 or less, we keep the number as it is in the tenths place, and leave the numbers to the right 0's

In this case, the hundredths place is a 0, which is less than 4, so we keep the 0 in the tenths place, and leave the to the right 0's.

Thus, our final answer is 2,826.

8 0
2 years ago
A farmers field has the dimensions shown. He needs to find the area of the field so that he knows how much he needs to buy .What
kolbaska11 [484]

Answer:

Area of the rectangular Field = 3 8/9 km²

Step-by-step explanation:

Length of the field = 2 1/3 km

Width of the field = 1 2/3 km

Area of a rectangular Field = length × width

= 2 1/3 × 1 2/3

= 7/3 × 5/3

= (7*5)/(3*3)

= 35/9

Area of the rectangular Field = 3 8/9 km²

Perimeter of the rectangular Field = 2(length + width)

= 2(2 1/3 + 1 2/3)

= 2(7/3 + 5/3)

= 2(7+5/3)

= 2(12/3)

=2(4)

= 8 km

Perimeter of the rectangular Field = 8 km

5 0
3 years ago
A skateboard travels 55 feet in 4 seconds. Is the skateboard going faster, slower, or the same speed as the scooter?
Assoli18 [71]

Answer:

Slower.

Step-by-step explanation:

I belive it is slower because the scooter was 30 feet per 2 seconds. 30+30+60 feet, 2+2= 4 seconds= 60 feet and 4 seconds which makes the 55 feet per 4 seconds slower.

4 0
3 years ago
Which expression is equivalent to 1/2 (14x-2)-1/4(4x-24)?
kkurt [141]
1/2 (14x-2)-1/4(4x-24) = 6x + 5

6 0
3 years ago
Read 2 more answers
Which two ratios form a proportion A) 1/2 and 2/7 B) 2/1 and 7/14 C) 1/2 and 7/14 D) 2/1 and 14/21
Romashka [77]

1/2 * 2/2  = 2/4  which is not 2/7

2/1 * 7/7 = 14/7  which is not 7/14

1/2 * 7/7 = 7/14 which is 7/14  yes

2/1 * 7/7 = 14/7 which is not 14/21  no


Choice C

4 0
3 years ago
Other questions:
  • In a poll students were asked to choose which of six colors was there favorite. The circle graph shows how the students answered
    15·1 answer
  • 5/8 of a fence has been built. If there is still 40 feet to be built, how long will the fence be?
    7·1 answer
  • Please help CANT MISS ANYMORE!
    8·1 answer
  • Determine whether the conclusion is valid. If not, identify the additional information needed to make it valid.
    14·2 answers
  • What is the estimated product of 908*67
    11·2 answers
  • The Jackson family drove 496 miles in 8 hours. which is the unit rate in fraction form
    11·2 answers
  • 6= 5r - 14<br> What are the steps you would use to solve the equation?
    7·1 answer
  • Question 4 help me and i will give brainlist
    5·2 answers
  • What function would reveal the minimum of f(x) = 2x^2 + 8x + 6
    7·2 answers
  • Which distribution is positively skewed?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!