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3 years ago

Solve the equation for x : 4x•2-12x=7

1 answer:

7 0

<span>4x•2-12x=7
Subtract 12x from 4x
-8x*2=7
Divide 2 on both sides
-8x=3.5
Divide both sides by -8
Final Answer: x= -0.4375</span>

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Which term best describes the solution of the situation represented by the system of inequalities? (Assume that x is greather th

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B. One Optimal Solution
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3 years ago

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The points A(0, 0), B(0, 4a - 5) and C(2a + 1, 2a + 6) form a triangle. If angle ABC = 90, what is the area of triangle ABC?(A)

ZanzabumX [31]

Answer:

A:102

Step-by-step explanation:

We are given that the points A(0,0),B(0,4a-5) and C(2a-+1,2a+6) form a triangle.

If angle ABC= $90^{\circ}$

We have to find the area of triangle ABC

If angle ABC= 90 degree

From given below figure

$4a-5=2a+6$

$4a-2a=6+5$

$2a=11$

$a=\frac{11}{2}=5.5$

Substitute the values then we get

B(0,17) and C (12,17)

Distance formula

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

AB= $\sqrt{(0-0)^2+(17-0)^2}=17 units$

BC= $\sqrt{(12-0)^2+(17-17)^2}$

BC= $\sqrt{144+0}=\sqrt{144}=12$ units

Area of triangle = $\frac{1}{2}\times b\times h$

Substitute the values

Then we get

Area of triangle ABC= $\frac{1}{2}\times 17\times 12$

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Answer: A: 102

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4 years ago

For the following quadratic equation, find the discriminant.

77julia77 [94]

Answer: x=4 or x=—12

Step-by-step explanation:

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3 years ago

A school is painting its logo in the shape of a triangle in the middle of its sports field. The school wants the height of the t

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Answer:

$b\geq 9$

In other words, the base must be at least 9 feet long.

Step-by-step explanation:

The schools wants the height of the triangle to be eight feet, and the area of the logo to be at least 36 square feet.

Recall that the area of a triangle is given by:

$\displaystyle A = \frac{1}{2}bh$

Since we want to area to be at least 36 square feet:

$\displaystyle \frac{1}{2}bh \geq 36$

We are given that the height is eight feet. Substitute:

$\displaystyle \frac{1}{2}(8)b\geq 36$

Simplify:

$4b\geq 36$

Divide both sides by four. Hence, our inequality is:

$b\geq 9$

In words, this means that the base must be at least 9 feet long.

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3 years ago

Please help me ASAP!!!

Mama L [17]

9/20

A percentage is the same as showing a number over 100 and if we multiply 20 by 5 we get 100. So if we multiply 9 by 5 we get 45, giving us 45/100 which can be shown as 45%.

As a decimal, well if we say 100% equals 1.0, then 45% equals 0.45

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3 years ago