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3 years ago

1) Solve 2 + 7x + 12 = 0 using factoring and the zero product property.

Mathematics

1 answer:

Kazeer [188]3 years ago

4 0

Answer:

7x+14=0, 7x=-14, x= -2

Step-by-step explanation:

add like terms, then get x on one side, number on the other, then divide both sides by 7

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A circle is centered at the vertex of an angle, and the angle's rays subtend an arc that is 86 cm long. 1/360th of the circumfer

rewona [7]

Answer:

Therefore the measure of this angle is $=(\frac{43}{90} )^\circ$

Step-by-step explanation:

Given, a circle is centered at the vertex of an angle and the angle's rays subtend an arc that is 86 cm long.

0.5 cm arc make an angle $\frac{1}{360}$

1 cm arc make an angle $\frac{1}{360\times 0.5}$

86 cm arc make an angle $\frac{86}{360\times 0.5}$

$=(\frac{43}{90} )^\circ$

Therefore the measure of this angle is $=(\frac{43}{90} )^\circ$

6 0

4 years ago

Read 2 more answers

Evaluate 7|4x−5|+9 when x=−1/8. Enter your answer as a decimal in the box.

o-na [289]

Answer:

x^2‑4 x2−4x2‑4 Factor 4x^2+20x+16 4x2+20x+164x2+20x+16 Graph y=‑x^2 y=−x2y=‑x2

Step-by-step explanation:

4 0

2 years ago

Linear Equation

Snezhnost [94]

Answer:

See Below

Step-by-step explanation:

It's a lot easier to get a linear equation in slope-intercept form (y = mx + b, where m and b are the line's slope and y-intercept, respectively) if you want to graph it, so let's do that here.

Rewriting the given equation gives us:

5x - y = 12

-y = -5x + 12

y = 5x - 12

We see here that m = 5 and b = -12, so the line has a slope of 5 and a y-intercept of (0, -12). Using this information, we can graph the line, as shown below. Hope this helps!

5 0

3 years ago

The line x − y = 2 is on a coordinate plane and contains EF, which is one side of square EFGH. What is the slope of the line tha

Alborosie

Answer:

The slope of FG is -1

Step-by-step explanation:

Given

Square EFGH

EF: $x - y = 2$

Required

Determine the slope of FG

First, we calculate the slope of EF

$x - y = 2$

Make y the subject

$-y = 2 - x$

$y = x -2$

The general equation has the form: $y = mx + b$

Where

$m = slope$

Compare $y = mx + b$ to $y = x -2$

$m = 1$

From the name of the square EFGH, we can conclude that EF and FG are perpendicular

The relationship between perpendicular lines is:

$m_2 = -\frac{1}{m_1}$

Where

$m_1 = m = 1$ -- Slope of EF

and

m2 = slope of FG

Substitute 1 for m1 in $m_2 = -\frac{1}{m_1}$

$m_2 = -\frac{1}{1}$

$m_2 = -1\\$

Hence, the slope of FG is -1

3 0

3 years ago

Use Pythagorean theorem to solve the following problems.

katovenus [111]

The Pythagorean theorem tells you that for legs a and b, and hypotenuse c this relationship holds:
c² = a² + b²

It can be useful to make a couple of rearrangements of this relation.
c = √(a² +b²)
a = √(c² -b²)

1. c = √(10² + 8²) = √164 = 2√41

2. a = √(26² - 10²) = √576 = 24

_____
It doesn't matter which leg you call "a" and which one you call "b", unless they are specifically marked on the triangle. Then use the marks you are given.

4 0

4 years ago