All categories

2 years ago

X^2+6x-16=0 quadratic equation

Mathematics

2 answers:

Black_prince [1.1K]2 years ago

4 0

（x+2）（x-8）is the answer

Aleonysh [2.5K]2 years ago

3 0

Answer:

x = - 8, x = 2 are the solutions

Step-by-step explanation:

Given

x² + 6x - 16 = 0

Consider the factors of the constant term (- 16) which sum to give the coefficient of the x- term (+ 6)

The factors are + 8 and - 2 , since

8 × - 2 = - 16 and 8 - 2 = + 6 , thus

(x + 8)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 8 = 0 ⇒ x = - 8

x - 2 = 0 ⇒ x = 2

You might be interested in

During one shift, the express lane clerk recorded how many times customers violated the "10 items or less" rule for his lane. In

Travka [436]

This question is incomplete. The complete question, answer & explanation for this question is given in the attachment below.

7 0

3 years ago

2x+29=5x+20 solve for x. x=???????

Vesna [10]

2x + 29 = 5x + 20

Subtract 20 from each side

2x + 9 = 5x

Subtract 2x from each side

9 = 3x

divide both sides by 3

3 = x

7 0

3 years ago

Manuel created a factor tree and wrote the prime factorization of 60 shown below.

nata0808 [166]

"Manuel" here put the arrow in the wrong place. Should be under 15, not 4. PLUS, 4 is not prime, cuz 2 goes into it...

3 0

2 years ago

Read 2 more answers

Type the correct answer in each box.

Mariulka [41]

Answer:

$(x-5)^2+(y+4)^2=100$

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The distance between the center and any point that lie on the circle is equal to the radius

we have the points

(5,-4) and (-3,2)

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

substitute the values

$r=\sqrt{(2+4)^{2}+(-3-5)^{2}}$

$r=\sqrt{(6)^{2}+(-8)^{2}}$

$r=\sqrt{100}\ units$

$r=10\ units$

step 2

Find the equation of the circle

we know that

The equation of a circle in standard form is equal to

$(x-h)^2+(y-k)^2=r^2$

where

(h,k) is the center

r is the radius

we have

$(h,k)=(5,-4)\\r=10\ units$

substitute

$(x-5)^2+(y+4)^2=10^2$

$(x-5)^2+(y+4)^2=100$

6 0

3 years ago

How do you find the area of this

devlian [24]

Answer:

156 cm^2

Step-by-step explanation:

area of a paralelogram is Base times hieght

13 times 12

4 0

3 years ago