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
Fiesta28 [93]
2 years ago
10

PLEASE HELP I WILL MARK YOU BRAINLIEST determine the exact and approximat solutions for 4(x + 5)^2 = 21 show your steps

Mathematics
1 answer:
BabaBlast [244]2 years ago
4 0

Answer:

x = − 5 + 1/2 √ 21 or x = − 5 + − 1/2 √ 21

Step-by-step explanation:

Let's solve your equation step-by-step.

4(x+5)^2=21

Step 1: Simplify both sides of the equation.

4x^2+40x+100=21

Step 2: Subtract 21 from both sides.

4x^2+40x+100−21 =21−21 4x^2+40x+79=0

For this equation: a=4, b=40, c=79

4x^2+40x+79=0

Step 3: Use quadratic formula with a=4, b=40, c=79.

x= −b±√ b^2−4ac/2ax

= −(40)+√ (40)^2−4(4)(79)/2(4)

x = 40^2±√ 336/8

x= −5+1/2 √ 21 or x = −5+ − 1/2√ 21

Answer: x = − 5 + 1/2 √ 21 or x = − 5 + − 1/2 √ 21

( I hope this was helpful) >;D

You might be interested in
Choose two positive integers a and b, making sure that a<5 and b>80 . The width of a rectangular computer screen is a inch
qwelly [4]

Answer:

Dimensions of the screen are a minimum of 10 inches wide by 8 inches high. The difference between the height and width will be 2 inches

Step-by-step explanation:

Height = H

Width = H + a

Area = Height x Width

b = H * (H + a)

b = H^{2} + aH

H^{2} + aH > 80

H^{2} + aH - 80 > 0

a<5 means 'a' can be a = 1, 2, 3, 4

Solving for H for each option of 'a' will give values of 'H' using the quadratic formula below

H = \frac{-b\±\sqrt{b^{2}-4ac}}{2a}

As 'a' and 'b' must be positive integers, H and W must be positive integers as well,

a = 1, H = 8.46, H = -9.46

a = 2, H = 8, H = -10

a = 3, H = 7.57, H = -10.57

a = 4, H = 7.17, H = -11.17

Based on above possible answers:

a=2, H=8

W = H + a

W = 8 + 2

W = 10

Dimensions of the screen are a minimum of 10 inches wide by 8 inches high. The difference between the height and width will be 2 inches

5 0
3 years ago
List the partical products of 35 times 7
White raven [17]
(30x7)+(7x5) you basically just have break it up.I hope this really helped you.
3 0
3 years ago
Sorry ignore this question.
Anna11 [10]
Okay

(Thanks for the points)
7 0
3 years ago
Read 2 more answers
Whats the area of a circle with a circumference of 31.4unit
marin [14]

Answer:

78.54

Step-by-step explanation:

first you have to divided 31.4 by 3.14 to get your diameter so you can get your radius. 31.4 divided by 3.14 equals 10 and 10 divided by 2 equals 5 which is you radius.  The formula for area for a circle is πr². 5 squared is 25 and 3.14 times 25 equals 78 .54 which is your answer.

8 1
3 years ago
Which is the rate of change for the interval between 3 and 6 on the x-axis?
Anna71 [15]

Answer:

The correct answer is 2.

Step-by-step explanation:

To find this, first identify the ordered pairs at those two points. They would be (3, -2) and (6, 4). Then use the slope formula with those two points to find the rate of change.

m(slope) = (y2 - y1)/(x2 - x1)

m = (4 - - 2)/(6 - 3)

m = 6/3

m = 2

8 0
3 years ago
Read 2 more answers
Other questions:
  • Which equation shows the quadratic formula used correctly to solve 7x^2=9+x for x?
    12·2 answers
  • Give a big-o estimate for the number of operations (where an operation is an addition or a multiplication) used in this segment
    12·1 answer
  • If an increase in one variable causes a decrease in another​ variable, there is A. a negative relationship. B. a dependent relat
    11·1 answer
  • Translate the following into an algebraic expression: A number is 30% of 20% of the number x.
    6·2 answers
  • Solve for x. 2x + 7 = 15
    6·2 answers
  • Which of the binomials below is a factor of this trinomial ?10x^2+27x-28
    6·2 answers
  • What is the potential energy of a 500kg elevator that is 4.0m high from the floor?
    11·1 answer
  • Round to the nearest hundredth (2 decimal places) when necessary
    12·1 answer
  • Kelly works two jobs. She usually works at a retail store for 7 hours during the day and is paid $22.22 per hour by the store. I
    9·2 answers
  • Interpret two-step equation word problems (7th grade math)
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!