given that 2 and k are roots of the quadratic equation (x+4) (x-p) = (2-x). find the values of k and p

Answers

Answer 1

Answer: the roots of the equation are 2 and k
substituting x=2 in the equation
(x+4)(x-p) = 2-x
(2+4)(2-p) = 2-2
6(2-p) = 0
dividing 6 both side, the answer is
p = 2

substituting x in the equation we
(x-4)(x-p) = 2-x
x² - 2x + 4x- 8 = 2-x
x² - 2x + 4x -8 -2 -x = 0
x² + 3x - 10 = 0
x² + 5x -2x - 10 = 0
x(x + 5) -2( x + 5) = 0
(x + 5)( x - 2) =0
(x + 5) = 0 or (x - 2) = 0
x = -5 and x = 2
therefor k = -5 and p = 2

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3(3t + s) and 3s - t S = 9 and t =12
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The scale of a square map indicates that each inch on the map corresponds to 5 miles. Write an expression that describes the area of land shown on the map. If the map is 8 inches on one side, what is the area of land shown on the map.

Answers

If x is the number of inches then the area is A = (5x)^2
So if x is 8 the area is (5*8)^2 = 1600 square miles

On a coordinate grid, what is the distance from A (4,9) to B (4,3)?

Answers

$d=√((x_1-x_2)^2+(y_1-y_2)^2)\n\nd=√((4-4)^2+(9-3)^2)\nd=√(0^2+6^2)\nd=√(6^2)\nd=6$

just subtract them
4-4=0
9-3=6

the distance is 6 since the x part stayed on the sam line

If i estamate a price of a game to be 175$ but the real anwser is 225$ what is the percent error

Answers

Subtract obtained value from exact value to get difference: 225 - 175 = 50
Divide difference by exact value to get a ratio: 50/225 = 0.22 (repeating)
Multiply ratio by 100 to get a percent: 0.22 (repeating) * 100 = 22.22 (repeating) %
Replace repeating with the sign if you can.

Complete each family facts 5 5 10

Answers

5×2=10 2×5=10 10÷5=5 and 10÷5=5

This is Algebra 2. help me

Answers

(4x^2-25)/(2x-5)=14
we hates fractions so m ultiply both sides by (2x-5)
4x^2-25=14(2x-5)
4x^2-25=28x-70
add 70 to both sides
4x^2+45=28x
subtract 28x fromoth sides
4x^2-28x+45=0
use quadratic formula which is
if you have
ax^2+bx+c=0 then
x= $\frac{-b+/- \sqrt{b^(2)-4ac} }{2a}$
a=4
b=-28
c=45
subsitute
x= $\frac{-(-28)+/- \sqrt{(-28)^(2)-4(4)(45)} }{2(4)}$
x= $(28+/- √(784-720) )/(8)$
x= $(28+/- 8)/(8)$
x= $(5)/(2)$ or $(9)/(2)$
if we were to put 5/2 for x, the deonomentor would be equal to zero, so it cannot be used

answer is
x=9/2

What fraction is equal to 3/5

Answers

you can multiply the fraction by any number you want so you gonna have an other fraction that is equal to your fraction like : 3 × 2 / 5 × 2 = 6 /10 so 3/5 = 6/10 :)))
i hope this be helpful
have a nice day

$(3)/(5)$ = ?. To find out what this equals to we wil multiply by 10 and 15 to give you 2 fractions. There are more but we are only going to do 2 more. lets do it:-

$(3*10)/(5*10) = (30)/(50)$

$(3*15)/(5*15)= (45)/(75)$

So, 2 fractions equivalent to $(3)/(5)$ are $(30)/(50)$ and $(45)/(75)$ .

Hope I helped ya!!

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