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NARA [144]
3 years ago
8

The area of the triangle above is 21. What is the value of x?

Mathematics
2 answers:
d1i1m1o1n [39]3 years ago
6 0
The answer is 6
I got it wrong on the test because I picked 7 automatically my mind thought of 7x3 but it's the wrong math



MakcuM [25]3 years ago
6 0

Answer:

x=6

Step-by-step explanation:

We have been given an image of a triangle. We have been given that area of the triangle is 21. We are asked to find the value of x.

We will use area of triangle formula to solve for x.

A=\frac{1}{2}\times {Base* Height}

Upon substituting our given values we will get,

21=\frac{1}{2}\times ({(x+1)*x})

21*2=\frac{1}{2}*2\times ({(x+1)*x})

42=x^2+x

x^2+7x-6x-42=0

x(x+7)-6(x+7)=0

(x+7)(x-6)=0

(x+7)=0\text{ or }(x-6)=0

x=-7\text{ or }x=6

Since length can not be negative, therefore, the value of x is 6.

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2 years ago
4h+8=20 what is h?..........
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3 0
3 years ago
Read 2 more answers
The Law and Order detectives enter a house at 11:30 am and found a man on the floor murdered. They take his body temperature fin
taurus [48]

Answer:

Time of murder = 10:39 am

Step-by-step explanation:

Let the equation of exponential function representing the final temperature of the body after time 't' is,

f(t) = a(e)^{nt}

Here, a = Initial temperature

n = Constant for the change in temperature

t = Duration

At 11:30 am temperature of the body was 91.8°F.

91.8 = 98.6(e)^{nt} --------(1)

Time to reach the body to the morgue = 12:30 pm

Duration to reach = 12:30 p.m. - 11:30 a.m.

                              = 1 hour

Therefore, equation will be,

84.4 = 91.8(e)^{n\times 1}

eⁿ = \frac{84.4}{91.8}

ln(eⁿ) = ln(0.9194)

n = -0.08403

From equation (1),

91.8 = 98.6(e)^{-0.08403t}

(e)^{0.08403t}=\frac{98.6}{91.8}

ln[(e)^{0.08403t}]=ln[\frac{98.6}{91.8}]

0.08403t = 0.07146

t = 0.85 hours

t ≈ 51 minutes

Therefore, murder was done 51 minutes before the detectives arrival.

Time of murder = 11:30 - 00:51

                          = 10:90 - 00:51

                          = 10:39 am

7 0
2 years ago
Question 2.2. Which ordered pairs make the inequality true?
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<span>Question 2.2. Which ordered pairs make the inequality true?</span><span>2x + y > –4</span>The solutions are (-1, 2) and (1, -5), look at the graph in the attachment.

Question 3.3. What is the slope of the line represented by the equation?

There is no equation

Question 4.4. What is the slope of the line represented by the equation 6x - 3y = 4?

Convert to slope-intercept form:

6x - 3y = 4

Subtract 6x to both sides:

-3y = -6x + 4

Divide -3 to both sides:

y = -6/-3x + 4/-3

Simplify:

y = 2x - 4/3

Now it's in slope intercept form, y = mx + b, where 'm' is the slope. So the slope here is 2.

Question 5.5. What is the simplified form of the expression?

15y - 3(4y + 10)

Distribute -3 into the parenthesis:

15y - 12y - 30

Combine like terms:

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8 0
2 years ago
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