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3 years ago

5

A rectangle garden has width of 5 feet and a length of 10 feet. If an equal amount is added to both the width and length, the ar

ea is increased to 84 square feet. What is th is amount?

1 answer:

yawa3891 [41]3 years ago

3 0

Answer:

Step-by-step explanation: 4,730

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Sketch the graph of y = (x + 3)2 – 4 and identify the axis of symmetry.

Sloan [31]

Answer: Thought I’d return the favor and help u with this question! But anyways, the axis of symmetry is at x = -3.

Explanatio: This can be found by looking at the basic form of vertex form:

y = (x - h)^2 + k

In this basic form the vertex is (h, k). By looking at what is plugged into the equation, it is clear that h = -3 and k = -4. This means the vertex is at (-3, -4).

It is a fact that the axis of symmetry is a vertical line of x = (vertex value of x). So we can determine that the axis of symmetry is at x = -3

i hope this helps u

4 0

3 years ago

The product of two consecutive integers is 342. What quadratic equation can be used to find x, the grater number?

IceJOKER [234]

X (X - 1) = 342
x² - x = 342
x² - x - 342 = 0

X = 19

5 0

4 years ago

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, 1) and (0, 3). Everything to th

miss Akunina [59]

Answer:

$y> \frac{2}{3}x+3$

Step-by-step explanation:

we have the points

(-3,1) and (0,3)

step 1

Find the slope m of the line

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{3-1}{0+3}$

$m=\frac{2}{3}$

step 2

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=\frac{2}{3}$

$b=3$ ----> the y-intercept is the point (0,3)

substitute the values

$y=\frac{2}{3}x+3$

step 3

Find the equation of the inequality

we know that

The slope is positive

Everything to the left of the line is shaded ( The inequality is of the form y > ax+b or y ≥ ax+b)

Is a dashed line (The inequality is of the form y > ax+ b or y < ax+b)

therefore

The equation of the inequality is of the form y > ax+b

The inequality is

$y> \frac{2}{3}x+3$

see the attached figure to better understand the problem

4 0

3 years ago

Read 2 more answers

Find the circumference of a circle with radius = 30 mm.

3241004551 [841]

Answer:

r= 15

Step-by-step explanation:

8 0

4 years ago

Read 2 more answers

What if the following is the sum of both solutions of the equation....

LuckyWell [14K]

answer

D 2

factor

factor the equation $x^{2} - 2x - 8 = 0$ into (x + a) and (x + b) so that a + b = -2 and a * b = -8

the two numbers that meet these conditions are a = -4 and b = 2

$x^{2} - 2x - 8 = (x - 4)(x + 2)$

find solutions

set both (x - 4) and (x + 2) equal to zero to find your solutions

x - 4 = 0

x = 4

x + 2 = 0

x = -2

add solutions

since the two solutions are x = 4 and x = -2, add them together to get your final answer

4 + (-2) = 2

6 0

3 years ago