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max2010maxim [7]
3 years ago
7

Solve 9(x-11)=9 please help

Mathematics
1 answer:
Sedbober [7]3 years ago
4 0

Answer: 12

Step-by-step explanation:

Distribute the 9(x-11) first. If you distribute it, it becomes 9x-99

9x-99=9

Add 99 to both sides

9x=108

Divide by 9 on both sides

X=12

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Segment BD is an altitude of triangle ABC. Find the area of the triangle.
Sever21 [200]

Answer: The correct option is A, i.e., 7.5.

Explanation:

It is given that ABC is a triangle and BD is an altitude.

Since BD is an altitude, therefore the height of the triangle is BD and the base of the triangle is AC.

The distance formula to find the distance between two points is,

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

First, we find BD, where B(-1,4) and D(2,4).

BD=\sqrt{(2+1)^2+(4-4)^2}=\sqrt{9} =3

So, the height of the triangle is 3.

Now, we find the value of AC, where A(2,1) and C(2,6).

AC=\sqrt{(6-1)^2+(2-2)^2}=\sqrt{25} =5

So, the base of the triangle is 5.

The formula to find the area of a triangle is,

A=\frac{1}{2}\times {\text{base}}\times {\text{height}}

A=\frac{1}{2}\times 5\times 3=\frac{15}{2}=7.5

Therefore, the area of the triangle is 7.5 unit square and the correct option is A.

6 0
3 years ago
Read 2 more answers
Find the height and the exact area of the isosceles trapezoid.
kipiarov [429]
I’m going to go with 77 i’m pretty sure
8 0
3 years ago
good morning :) The rental car holds 22 gallons of gas and gets 20 miles per gallon. The trip to Ellis City is 1760 miles. How m
Effectus [21]
1760/ 20 = 88
88/22 = 4
answer = 4
6 0
4 years ago
Consider this equation. cos(θ)= -3/10 If θis an angle in quadrant II, what is the value of tan (θ)?
Alja [10]

Answer:

C)

Step-by-step explanation:

Trigonometry ratio:

         \sf Cos \ \theta = \dfrac{Adjacent \ side}{hypotenuse}=\dfrac{-3}{10}

We need to find the opposite side using Pythagorean theorem.

 opposite side² = hypotenuse² - adjacent side²

                           = 10² - (-3)²

                            = 100 - 9

                           = 91

opposite side    = √91

                 \sf tan \ \theta = \dfrac{opposite \ side}{adjacent \ side}

                           \sf = \dfrac{\sqrt{91}}{3}

In quadrant II, value of tan \theta is negative.

              \sf tan \ \theta = -\dfrac{\sqrt{91}}{3}

7 0
2 years ago
A car traveled 300 meters in 30 seconds. A truck traveled 600 meters in 60 seconds. Which car was faster ?
rewona [7]

Multiply the car by 2: 300 meters x 2 = 600 meters

30 seconds x 2 = 60 seconds.

The car also traveled 600 meters in 60 seconds, so the speed of the vehicles are the same.

No vehicle was faster.

8 0
3 years ago
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