What is the value of the discriminant of 3x2 + 4x + 5=0 ?

Trigonometry

Mashcka [7]

The area of the triangle EFG is 7.4 square units.

Explanation:

Given that the measurements of the sides of the triangle are EF = 8, EG = 8 and $m\angle E=22^{\circ}$

We need to determine the area of the triangle EFG

Area of the triangle:

The area of the triangle EFG can be determined using the formula,

$\text {Area}=\frac{1}{2} fg \sin E$

Substituting the values, we get,

$\text {Area}=\frac{1}{2} (5)(8) \sin 22^{\circ}$

Simplifying the values, we have,

$\text {Area}=\frac{1}{2}(40)(0.37)$

Multiplying, we get,

$\text {Area}=\frac{14.8}{2}$

Dividing, we get,

$\text {Area}=7.4$

Hence, the area of the triangle EFG is 7.4 square units.

3 0

3 years ago

Data from Previous Truck Head Gaskets

AlladinOne [14]

If we take a look at the data presented in the chart we can see the damage that the head gasket on truck suffers according to the ambient temperature. The correct answer is letter C) because there is a negative slope that is less than one and the y-intercept begins 14 units up the y-axis.

I hope this helps, Regards.

6 0

3 years ago

Read 2 more answers

if you divide a positive number by 12, the answer would be less than the original number? always, sometimes, or never

elena55 [62]

Answer:

Always

Step-by-step explanation:

The rules for positive numbers is that addition and multiplication makes numbers larger. Subtraction and division makes numbers smaller.

Since 12 is a positive number, the result of dividing a positive number by 12 will make it smaller.

8 0

3 years ago

What is the equation of the line passing through the points (–25, 50) and (25, 50) in slope-intercept form?

allochka39001 [22]

The equation of the line passing through the points (-25, 50) and (25, 50) in slope-intercept form is y = 50. Hence, 4th option is the right choice.

The slope-intercept form of a line is written as y = mx + b, where m is the slope of the line, and b is the y-intercept.

The slope of a line passing through the points (x₁, y₁) and (x₂, y₂) can be calculated using the formula, slope (m) = (y₂ - y₁)/(x₂ - x₁).

Therefore, slope of the line passing through the points (-25, 50) and (25, 50) can be calculated as m = (50 - 50)/(25 - (-25)) = 0/(-50) = 0.

We can find the equation of the line using the point-slope formula, according to which, a line having a slope m and passing through the point (x₁, y₁) can be written as y - y₁ = m(x - x₁).

Therefore, the equation of the given line can be written as:

y - 50 = 0(x - 25)

or, y - 50 = 0,

or, y = 50.

Therefore, the equation of the line passing through the points (-25, 50) and (25, 50) in slope-intercept form is y = 50. Hence, 4th option is the right choice.

Learn more about the equation of a line at

brainly.com/question/18831322

#SPJ10

3 0

2 years ago

The federal government requires a car manufacturer to have a minimum miles per gallon (mpg) average over the models it makes. Su

valentinak56 [21]

Answer:

25 mpg

Step-by-step explanation:

We have a set of values 19, 21, 22, 28 and 18

The average (which is the mean of the set of values ) is :

19 + 21 + 22 + 28 + 18 = 21.6 mpg out of the government requirement

So we need a value such as the mean become at least 25 mpg

We have to solve the equation:

(19+21+22+28+ x)/ 5 = 25

(90 + x ) /5 = 25 ⇒ 90 + x = 125 ⇒ x = 35 mpg

If we get the mean of the set of values including 35 we have:

(19 +21+ 22+ 28 + 35 ) / 5 = 25 mpg government requirement

7 0

3 years ago