All categories

2 years ago

Question 3*

Mathematics

2 answers:

il63 [147K]2 years ago

8 0

Please help me with the last question just write the equation in vertex form
I’ll mark as brainliest

egoroff_w [7]2 years ago

8 0

Answer:

option 4

Step-by-step explanation:

Given

f(x) = x² - 5x - 6

To find the zeros let f(x) = 0 , that is

x² - 5x - 6 = 0

Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (- 5)

The factors are - 6 and+ 1, since

- 6 × 1 = - 6 and - 6 + 1 = - 5 , then

(x - 6)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x - 6 = 0 ⇒ x = 6

You might be interested in

Joshua borrowed $2,100 for one year and paid $105 in interest. The bank charged him a service charge of $18. If Joshua paid the

fredd [130]

the answer of monthly is 27,213

6 0

3 years ago

A right triangle is ____ a scalene triangle.<br> Always, sometimes, or never

konstantin123 [22]

Answer: Sometimes

Step-by-step explanation:

This is a very tricky question. We know that in an isosceles triangle, two sides are the same. Because of this, we know that the right angle is always 90 degrees, and the other sides would be 45 degrees each because all triangles add up to 180 degrees. A right triangle could also be scalene, meaning none of the sides are the same, for example a scalene triangle could have sides of 44, 46, and 90 degrees. Rest assured, a right triangle will never be equalateral. Hope this helps :) Merry Christmas

4 0

2 years ago

Help! Please! Geometry!!

DiKsa [7]

By the Segment Addition Postulate, SAP, we have

XY + YZ = XZ

YZ = XZ - XY = 5 cm - 2 cm = 3 cm

10.

M is the midpoint of XZ=5 cm so

XM = 5 cm / 2 = 2.5 cm

11.

XY + YM = XM

YM = XM - XY = 2.5 cm - 2 cm = 0.5 cm

12.

The midpoint is just the average of the coordinate A(-3,2), B(5,-4)

$M = (A+B)/2 = \left( \dfrac{-3 + 5}{2}, \dfrac{2 + -4}{2} \right)$

Answer: M is (1,-1)

You'll have to plot it yourself.

13.

For distances we calculate hypotenuses of a right triangle using the distnace formula or the Pythagorean Theorem.

$AB^2 =(5 - -3)^2 + (-4 - 2)^2 = 8^2 + 6^2 = 100$

Answer: AB=10

M is the midpoint of AB so

Answer: AM=MB=5

14.

B is the midpoint of AC. We have A(-3,2), B(5,-4)

B = (A+C)/2

2B = A + C

C = 2B - A

C = ( 2(5) - -3, 2(-4) - 2 ) = (13, -10)

Check the midpoint of AC:

(A+C)/2 = ( (-3 + 13)/2, (2 + -10)/2 ) = (5, -4) = B, good

Answer: C is (13, -10)

Again I'll leave the plotting to you.

5 0

3 years ago

Graph this please −9x+4y≤8

Tamiku [17]

You can also use desmos to find any graphing type of equations

5 0

3 years ago

Each chef at "Sushi Emperor" prepares 15 regular rolls and 20 vegetarian rolls daily. On Tuesday, each customer ate 2 regular ro

Natali [406]

The answer would be: There were 2 chefs and 13 customers.

8 0

2 years ago