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4 years ago

If there are 7 bolts in a widget and 6 widgets in an appliance, how many bolts are in 20 appliances?

1 answer:

5 0

A single appliance has 6 widgets, and a widget has 7 bolts. Therefore, you need to multiply 6 by 7 to find the number of bolts in a single appliance.

6 x 7 = 42

Now that you know the number of bolts in an appliance, you can find the number of bolts in 20 appliances by multiplying 42 by 20.

42 x 20 = 840

Hence, there are 840 bolts in 20 appliances.

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Which equation is quadratic in form? 2(x 5)2 8x 5 6 = 0 x6 6x4 8 = 0 7x6 36x3 5 = 0 4x9 20x3 25 = 0

Amiraneli [1.4K]

The equation that fits the standard form of a Quadratic equation is 2(x + 5)² + 8x + 5 + 6 = 0 which can be re-written as 2x² + 28x + 61 = 0.

<h3>What is a Quadratic Equation?</h3>

Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;

ax² + bx + c = 0

Where x is the unknown

From the given data, we check which of them fits the standard form of a quadratic equation.

2(x + 5)² + 8x + 5+ 6 = 0

x⁶ + 6x + 4 + 8 = 0

7x⁶ + 36x³ + 5 = 0

4x⁹ + 20x³ + 25 = 0

2(x + 5)² + 8x + 5 + 6 = 0

2( (x(x+5) + 5(x+5) ) + 8x + 5 + 6 = 0

2( x² + 5x + 5x + 25 ) + 8x + 5 + 6 = 0

2( x² + 10x + 25 ) + 8x + 5 + 6 = 0

2x² + 20x + 50 + 8x + 5 + 6 = 0

2x² + 20x + 8x + 50 + 5 + 6 = 0

2x² + 28x + 61 = 0

Therefore, the equation that fits the standard form of a Quadratic equation is 2(x + 5)² + 8x + 5 + 6 = 0 which can be re-written as 2x² + 28x + 61 = 0.

Learn more about quadratic equations here: brainly.com/question/1863222

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8 0

2 years ago

The equation of line t is y = -2x + 9. Perpendicular to line t is line u, which passes through

Archy [21]

Answer:

Equation of line u in slope-intercept form is: $\mathbf{y=\frac{1}{2}x+9 }$

Step-by-step explanation:

Equation of line t : y = -2x + 9.

We need to find equation of line u, which is perpendicular to line t and passes through point (-10,4)

The equation must be in slope-intercept form.

The general equation of slope-intercept form is: $y=mx+b$ where m is slope and b is y-intercept

Finding Slope:

If two lines are perpendicular, their slopes are opposite i.e $m=-\frac{1}{m}$

Slope of line t: y=-2x+9 we get m =-2 (Comparing with general form y=mx+b, we get m =-2)

Slope of line u: $\frac{1}{2}$

So, we get Slope of line u: m= $\frac{1}{2}$

Finding y-intercept:

Using slope m= $\frac{1}{2}$ and point(-10,4) we can find y-intercept

$y=mx+b\\4=\frac{1}{2}(-10)+b\\4=-5+b\\b=4+5\\b=9$

Equation of line u:

So, equation of line u, having slope m= $\frac{1}{2}$ and y-intercept b=9, we get:

$y=mx+b\\y=\frac{1}{2}x+9$

So, Equation of line u in slope-intercept form is: $\mathbf{y=\frac{1}{2}x+9 }$

4 0

3 years ago

The equation of line EF is y = 2x + 1. Write an equation of a line parallel to line EF in slope-intercept form that contains poi

77julia77 [94]

Answer: The answer is (b) $y=2x+2.$

Step-by-step explanation: The equation of a straight line in slope-intercept form is given by

$y=mx+c,$ where, 'm' is the slope and 'c' is the y-intercept of the straight line.

The equation of the given line EF is

$y=2x+1.$

Here, slope, m=2 and y-intercept, c=1.

Since our new line is parallel to the given line, so the slope of the new line=m=2.

So, let the equation of the new line be

$y=mx+d\\\\\Rightarrow y=2x+d.$

Now, since the line passes through the point (0,2), so

$2=2\times 0+d\\\Rightarrow d=2.$

Thus, the equation of the new line parallel to line EF will be

$y=2x+2.$

The correct option is (b).

3 0

4 years ago

Read 2 more answers

The height of a triangle is 4 ft less than the base x. The area is 126 ft2. Find the dimensions of the triangle.

valina [46]

Answer:

Base = x = 18ft

Height = x - 4 = 14ft

Step-by-step explanation:

The formula for the area of A the triangle is given by the following equation:

1) A = (base * heigth)/(2)

From this problem, we know that

base = x and that the height is 4ft less than the base, so height = base - 4 = x - 4.

We also know that the area is 126ft², so A = 126 ft². Now we can replace these informations in equation 1).

126 = (x(x-4))/2

x² - 4x = 252

x² -4x - 252 = 0

The roots of this equation are x = 18 or x = -14. But we know that a triangle cannot have negative dimensions, so we use x = 18.

The base is x, so base = 18ft.

Height is 4ft less than the base, so height equals 18-4 = 14ft

7 0

4 years ago

Help me please! I need answer right now.

Bess [88]

Answer:

t,4 triangles, right arrow, 27, 57, -14, -38,49,144, 4,1/4

Step-by-step explanation:

5 0

3 years ago