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3 years ago

Write x^2 + 6x -7 in the form (x+a)^2 +b where a and b are integers please

Mathematics

1 answer:

ANTONII [103]3 years ago

3 0

Answer:

$(x + 3) {}^{2} - 16$

Step-by-step explanation:

${x}^{2} + 6x - 7 = (x + 3) {}^{2} - (3) {}^{2} - 7 \\ = (x + 3) {}^{2} - 16$

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The perimeter of triangle ABC is 32 find the lengths of AC and AB

Nutka1998 [239]

The lengths of AC and AB are each 10.6 units.

<u>Step-by-step explanation</u>:

Perimeter of a triangle = Sum of all the three sides of a triangle

Perimeter = 3a
where, a is the length of the each sides of a triangle.

⇒ 32 = 3a

⇒ a = 32/3

⇒ a = 10.6

6 0

3 years ago

I am in need of help :) please and thank you :):

nika2105 [10]

It’s the second answer

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2 years ago

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Please help and please say the formula!!

Damm [24]

Answer:

Step-by-step explanation:

Formula: 4*((15*7)/2) + 15^2

This is the area of the four triangles combined (210 cm^2) plus the area of the square (225 cm^2)

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3 years ago

What impact does negative rational numbers have on whether you add or subtract rational numbers

Artemon [7]

If the signs of the rational numbers are the same, you add them, i.e. ++ or --.
If they are different, you subtract them, i.e. +- or -+

7 0

3 years ago

Rachel hikes at a steady rate from a ranger station to a campground that is 20 mi away. After 2 h, she is 13 mi from the campgro

Angelina_Jolie [31]

Answer:

-3.5

The distance Rachel covers per hour is 3.5 miles

Step-by-step explanation:

After 2 hours, she is 13 miles from the campground.

After 4 hours, she is 6 miles from the campground.

Let x be the number of hours, y be the number of miles from the campground, then we have two points (2,13) and (4,6).

The equation of the line passing through the points $(x_1,y_1)$ and $(x_2,y_2)$ is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

Substitute:

$x_1=2\\ \\y_1=13\\ \\x_2=4\\ \\y_2=6$

Hence,

$y-13=\dfrac{6-13}{4-2}(x-2)\\ \\y-13=-3.5(x-2)\\ \\y=-3.5x+7+13\\ \\y=-3.5x+20$

The slope of the line is $-3.5$ and it represents that the distance Rachel covers per hour is 3.5 miles.

8 0

3 years ago