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
mariarad [96]
2 years ago
5

Solve the following quadratic equation by rearranging and then factorising x^2 + 3x - 15 = 2x - 13

Mathematics
2 answers:
Whitepunk [10]2 years ago
8 0

Answer:

x = -2   & x = 1

Step-by-step explanation:

x^2 + 3x - 15 = 2x - 13 so you takeaway 2x and add 13 to the other side to get x^2 + x - 2 = 0

(x+2)(x-1) = 0 find factors of -2 that get you x

(x+2) = 0 so x = -2       (x-1) = 0  so x = 1

NNADVOKAT [17]2 years ago
7 0

Step-by-step explanation:

x² + 3x - 15 = 2x - 13

x² + x - 2 = 0

(x + 2)(x - 1) = 0

By zero product rule, (x + 2) = 0 or (x - 1) = 0.

Hence x = -2 or x = 1.

You might be interested in
Find the equation of the line. <br><br> GIVING BRAINIEST TO WHOEVER HELPS ME AND GETS IT RIGHT!!!
Anestetic [448]

Answer:

y= -3x + 7

Step-by-step explanation:

y intercept= 7

slope= -3

3 0
3 years ago
Read 2 more answers
4 (5x-3) -64 (3-x) -3 (12x-4)=96
Yuki888 [10]
Are you trying to simply the equation if so x = 6
4 0
3 years ago
Pls help me will mark brainliest
iVinArrow [24]

Answer:

34.84

Step-by-step explanation:

5.2 times 6.7= 34.84

5 0
2 years ago
Read 2 more answers
A quadrilateral has vertices A(3, 5), B(2, 0), C(7, 0), and D(8, 5). Which statement about the quadrilateral is true? A. ABCD is
Dima020 [189]

Hey There!!

The answer to this is: A quadrilateral has vertices A(3, 5), B(2, 0), C(7, 0), and D(8, 5). Which statement about the quadrilateral is true?" Line BC is parallel to line AD because their slopes is equal i.e. (0 - 0) / (7 - 2) = (5 - 5) / (8 - 3) which gives 0 / 5 = 0 / 5 giving that 0 = 0. We check whether line AB is parallel to line CD. Slope of line AB is given by (0 - 5) / (2 - 3) = -5 / -1 = 5. Slope of line CD is given by (5 - 0) / (8 - 7) = 5 / 1 = 5 We have been able to prove that the opposite sides of the quadrilateral are parallel which means that the quadrilateral is not a trapezoid. Next we check whether the length of the sides are equal. Length of line AB is given by sqrt[(0 - 5)^2 + (2 - 3)^2] = sqrt[(-5)^2 + (-1)^2] = sqrt(25 + 1) = sqrt(26) Length of line BC is given by sqrt[(0 - 0)^2 + (7 - 2)^2] = sqrt[0^2 + 5^2] = sqrt(25) = 5 Length of line CD is given by sqrt[(5 - 0)^2 + (8 - 7)^2] = sqrt[5^2 + 1^2] = sqrt(25 + 1) = sqrt(26) Length of line DA is given by sqrt[(5 - 5)^2 + (8 - 3)^2] = sqrt[0^2 + 5^2] = sqrt(25) = 5 Thus, the length of the sides of the quadrilateral are not equal but opposite sides are equal which means that the quadrilateral is not a rhombus. Finally, we check whether adjacent lines are perpendicular. Recall the for perpendicular lines, the product of their slopes is equal to -1. Slope of line AB = 5 while slope of line BC = 0. The product of their slopes = 5 x 0 = 0 which is not -1, thus the adjacent sides of the quadrilateral are not perpendicular which means that the quadrilateral is not a rectangle. Therefore, ABCD is a parallelogram with non-perpendicular adjacent sides. Thus, For (option A).

Hope It Helped!~ ♡

ItsNobody~ ☆

7 0
3 years ago
The diameter of a sphere is 6 cm. What is the volume of the sphere?
irinina [24]

Answer:

36pi

Step-by-step explanation:

the volume of a sphere is equal to 4/3 x pi x r^3

the radius is half of the diameter

3^3=27

27x4/3=36

36pi

6 0
2 years ago
Other questions:
  • A toy manufacturer wants to minimize her cost for producing two lines of toy airplanes. Because of the supply of materials, no m
    7·1 answer
  • HELP ME ASAP!!!!!!!!!!!!!!! PLEASEEEEEEEEEEEEEEEEEEEEE
    13·2 answers
  • Last year, the tree in Pedro's front yard was 5 feet tall. This year, the tree is 2 feet less than the height of Pedro's house.
    15·1 answer
  • What are the slope and the y-intercept of the linear function that is represented by the equation?
    13·1 answer
  • 1. Which situation is best described by the
    7·1 answer
  • Find the distance between the points (10,1) and (5,4)
    5·1 answer
  • What is the sun of the 9th square number and the 2nd square number?
    5·1 answer
  • A resort hotel rents
    15·2 answers
  • Nvm figured it out.....
    8·1 answer
  • Vicki, Jamal and Tyson are ordering subs from a shop that lets them choose the number of
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!