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2 years ago

Express x^2-8+5 in the form (x-a)^2-b where a and b are integers

Mathematics

1 answer:

Tanzania [10]2 years ago

6 0

Answer:

(x-4)^2-9 where a=4 and b=9

Step-by-step explanation:

x^2-8x+5

x^2-8x+16-16+5

(x-4)^2-9, a=4 and b=9

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Complete the equation of the line through (1,4)(1,4)left parenthesis, 1, comma, 4, right parenthesis and (2,2)(2,2)left parenthe

Ivahew [28]

Answer:

$y = -2x + 6$

Step-by-step explanation:

Given

$(x_1,y_1) = (1,4)$

$(x_2,y_2) = (2,2)$

Required

Determine the line equation

First, we calculate the slope (m) using

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{2-4}{2-1}\\$

$m = \frac{-2}{1}$

$m = -2$

The equation is then calculated using:

$y - y_1 = m(x - x_1)$

$y - 4 = -2(x - 1)$

Open bracket

$y - 4 = -2x + 2$

$y = -2x + 2 + 4$

$y = -2x + 6$

5 0

3 years ago

Read 2 more answers

(5a^2+6a+2)-(7a^2-7a-5)

krok68 [10]

For this case we must simplify the following expression: $(5a^ 2 + 6a + 2) - (7a^ 2-7a-5) =$

We eliminate the parentheses taking into account that:

$- * + = -\\- * - = +$

So:

$5a ^ 2 + 6a + 2-7a ^ 2 + 7a + 5 =$

We add similar terms taking into account that:

Equal signs are added and the same sign is placed.

Different signs are subtracted and the major sign is placed.

$5a ^ 2-7a^2 + 6a + 7a +2 +5 =\\-2a ^ 2 + 13a + 7$

Answer:

$-2a ^ 2 + 13a + 7$

8 0

3 years ago

In the figure below, segment CD is parallel to segment EF and point H bisects segment DE :

Grace [21]

Answer:

See explanation

Step-by-step explanation:

In the figure below, segment CD is parallel to segment EF, DE is a transversal, then angles DIH and HGI are congruent as alternate interior angles when two parallel lines are cut by a transversal.

Consider triangles DIH and EGH. In these triangles,

$\angle DIH\cong \angle EGH$ as alternate interior angles;
$\angle DHI\cong \angle GHE$ as vertical angles;
$DH\cong HE$ because point H bisects segment DE (given).

Thus,

$\triangle DIH\cong \triangle EGH$ by AAS postulate

4 0

3 years ago

$0.78 less than the normal price Right now it you buy 7 of them it Cookies are on sate! Today each cookie costs will only cost y

Blizzard [7]

Let p = the normal price.
Then 7(p - .75)= 2.80
Divide by 7: p - .75 = .40 and p = 1.15

4 0

3 years ago

4.5(8-x) + 36=102-2.5(3x+24) what’s x?

maxonik [38]

Let's solve your equation step-by-step.4.5(8−x)+36=102−2.5(3x+24)Step 1: Simplify both sides of the equation.4.5(8−x)+36=102−2.5(3x+24)Simplify: (Show steps)−4.5x+72=−7.5x+42Step 2: Add 7.5x to both sides.−4.5x+72+7.5x=−7.5x+42+7.5x3x+72=42Step 3: Subtract 72 from both sides.3x+72−72=42−723x=−30Step 4: Divide both sides by 3.3x3=−303x=−10

3 0

3 years ago

Read 2 more answers