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11111nata11111 [884]
3 years ago
15

The square of a number minus six times a number equals negative five.

Mathematics
2 answers:
olga_2 [115]3 years ago
3 0

Answer:

x² - 6x = -5

x = {1, 5}

Step-by-step explanation:

The square of a number minus six times a number equals negative five.

x² - 6x = -5

Add 5 to both sides

x² - 6x + 5 = 0

Factor

(x - 1)(x - 5) = 0

x = {1, 5}

Sladkaya [172]3 years ago
3 0

Answer:

x^{2} - 6x = -5

x = 1 or x = 5

Step-by-step explanation:

Let x = the no.

x^{2} - 6x = -5\\x^{2}  - 6x + 5 = 0

(x - 1)(x - 5) = 0

x = 1 or x = 5

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Write the equation of a line that passes through the point ​(-8​,4​) and is parallel to the line y=-5x+3.
Oduvanchick [21]

Answer: y=-5x-36

Step-by-step explanation:

In order for two lines to be parallel they need to have the same slope. so the slope (m) of the new line needs to be -5.

slope(m) =-5

and the point (-8,4) is given to us. we can create a new equation for a line using the point slope formula because we have a slope (m=-5) and a point (-8,4)

                       

point slope formula: y-y1=m(x-x1)    

y-4=-5(x--8)

simplify and pay attention to negative signs

y-4=-5(x+8)

y-4=-5x-40

y=-5x-36

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5 0
2 years ago
Pls help !!! Thank you
pishuonlain [190]

Answer:

y-10=2/3(x-8)

Step-by-step explanation:

(y2-y1)/(x2-x1) is the equation for slope so put your points in you get 2/3 once simplified then its just a matter of putting points in the equation y-y1= m(x-x1)

5 0
3 years ago
Mr peterson will buy 80 feet of fencing. The pieces of fence come in whole numbers of feet. His enclosure will be a rectangle an
DIA [1.3K]
The perimeter is:
 P = 2x + 2y = 80
 The area is:
 A = x * y
 The area as a function of a variable is:
 A (x) = x * (40-x)
 Rewriting we have:
 A (x) = 40x-x ^ 2
 We derive the function:
 A '(x) = 40-2x
 We equal zero and clear x:
 40-2x = 0
 2x = 40
 x = 40/2
 x = 20 feet
 The other dimension is:
 y = 40 - x
 y = 40 - 20
 y = 20 feet
 The area will be:
 A = x * y
 A = 20 * 20
 A = 400 feet ^ 2
 Answer:
 
The dimensions are:
 
x = 20 feet
 
y = 20 feet
 
The area is:
 
A = 400 feet ^ 2
5 0
3 years ago
Find the measures of ∠B and ∠C. PLEASE HELP!!
BartSMP [9]

It's an isosceles triangle, therefore m∠B = m∠C.

We have the equation:

2x + 10 = 3x - 5      <em>subtract 10 from both sides</em>

2x = 3x - 15     <em>subtract 3x from both sides</em>

-x = -15     <em>change the signs</em>

x = 15

m∠B = (2x + 10)°

m∠B = (2 · 15 + 10)° = (30 + 10)° = 40°

We know, the sum of measures of a tringle is equal 180°.

m∠A + m∠B + m∠C = 180°

m∠B = m∠C = 40°

<h3>Answer: ∠B = 40° and ∠C = 40°</h3>
8 0
3 years ago
Raj is 3 inches taller than Howared. Let h represent Howards height. write an algebraic expression to represent Raj's height.
Nitella [24]
Answer:
Let's say Raj's height is 60 inches
60-3 = H
H= Howard's height
60 = Raj's height
Or it could be with two variables
R-3 = H
R = Raj's height
4 0
2 years ago
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