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Nonamiya [84]
3 years ago
10

Find the value of x in the isosceles triangle shown below.

Mathematics
1 answer:
miss Akunina [59]3 years ago
8 0

Answer:

D. x=4

Step-by-step explanation:

We can solve this with the Pythagorean Theorem for the right triangle that we can see (which is half of the triangle).

The bottom length is 3 and the hypotenuse is 5.

The Pythagorean Theorem is a²+b²=c².

We can plug this in:

3²+x²=5²

9+x²=25

x²=16

x=4

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The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function? Loc
adoni [48]

Answer:

Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.

Step-by-step explanation:

we know that

The equation of the line in slope intercept form is equal to

y=mx+b

In this problem we have

m=2\\b=-6

so

y=2x-6

To graph a line we nee minimum two points

we have the y-intercept (0,-6)

Using the slope find out the second point

Remember that the formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)

so

From the point (0,-6), count right 1 units and up 2 units

(0+1,-6+2)

(1,-4)

so

Plot the points (0,-6) and (1,-4) and join them to graph the line

therefore

Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.

4 0
3 years ago
URGENT!!!!!<br> What is the value is x?<br> A. 5.375<br> B. 5.5<br> C. 11<br> D. 13
vodka [1.7K]

Answer:

value of x is B 5.5

Step-by-step explanation:

B 5.5 value of X

7 0
3 years ago
Read 2 more answers
The antibiotic clarithromycin is eliminated from the body according to the formula A(t) = 500e−0.1386t, where A is the amount re
PolarNik [594]

Answer:

Time(t) = 11.61 hours (Rounded to two decimal place)

Step-by-step explanation:

Given: The antibiotic  clarithromycin is eliminated from the body according to the formula:

A(t) = 500e^{-0.1386t}                 ......[1]

where;

A - Amount remaining in the body(in milligram)

t - time in hours after the drug reaches peak concentration.

Given: Amount of drug in the body is reduced to 100 milligrams.

then,

Substitute the value of A = 100 milligrams in [1] we get;

100= 500e^{-0.1386t}

Divide both sides by 500 we get;

\frac{100}{500}=\frac{ 500e^{-0.1386t}}{500}

Simplify:

\frac{1}{5} = e^{-0.1386t}

Taking logarithm both sides with base e, then we have;

\log_e (\frac{1}{5})= \log_e (e^{-0.1386t})

\log_e (\frac{1}{5})=-0.1386t         [ Using \log_e e^a =a ]

or

\log_e (0.2)=-0.1386t

-1.6094379124341 = -0.1386t

 [using value of \log_e (0.2) = -1.6094379124341 ]

then;

t = \frac{-1.6094379124341}{-0.1386}

Simplify:

t ≈11.61 hours.

Therefore, the time 11.61 hours(Rounded two decimal place) will pass before the amount of drug in the body is reduced to 100 milligrams


6 0
2 years ago
Find the answer? <br> (t-12) x 8 = 97
schepotkina [342]

Answer:

Step-by-step explanation:

(t - 12) x 8 = 97

8t - 96 = 97

8t - 96 + 96 = 97 + 96

8t = 193

t = 24 1/2

6 0
3 years ago
Read 2 more answers
A cars tire pressure decreased by 0.098 of its original pressure write 0.098 as a percent
balandron [24]
To write this as a percent, just move the decimal two places to the right. So instead of .098, this becomes 9.8%. hope this helps!
5 0
3 years ago
Read 2 more answers
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