All categories

4 years ago

What is the area of triangle ABC?

Mathematics

2 answers:

nalin [4]4 years ago

5 0

Answer:

Step-by-step explanation:

Scrat [10]4 years ago

4 0

The area of triangle is 7 square units, which is mentioned in option B. It is obtained from the given diagram.

Step-by-step explanation:

The given is,

For above question diagram is missing, so i attach the diagram.

Step:1

Formula for area of triangle from the coordinates,

$A =\frac{1}{2} [ x_{1}(y_{2} -y_{3})+x_{2} (y_{3}-y_{1} )+x_{3}(y_{1} - y_{2} )]$ .............(1)

Where,

$(x_{1} ,y_{1} ),(x_{2} ,y_{2} ), (x_{3} ,y_{3} )$ are coordinates

From the given,

A ( 1, 1 ) - $(x_{1} , y_{1} )$

B ( 4, 0 ) - $(x_{2} , y_{2} )$

C ( 3, 5 ) - $(x_{3} , y_{3} )$

Equation (1) becomes,

Area, $A = \frac{1}{2} [1(0-5)+4(5-1)+3(1-0)]$

$= \frac{1}{2} [1(-5)+4(4)+3(1)]$

$= \frac{1}{2} [ -5 +16 + 3]$

$= \frac{1}{2} (14)$

= 7

Area of triangle, A = 7 square units

Result:

The area of triangle is 7 square units, which is mentioned in option B. It is obtained from the given diagram.

You might be interested in

Help please please help me

Arada [10]

Answer:

80%

Step-by-step explanation:

40/50 = 80/100 = 80%

5 0

3 years ago

Read 2 more answers

4y = x - 24 what is the y intercept

sp2606 [1]

Answer:

In order to find the y-intercept you need to first get y by itself

To do so we need to divide y by 4, since we divide one side by four we need to divide the other side by 4 also

4y/4=x/4-24/4

y=1/4x-6

Now in the formula y=mx+b, you b is the y-intercept

In y=1/4x-6, the spot filled in for b is -6

Therefore; you y-intercept would be -6

-6

Hope this helps ;)

8 0

3 years ago

X^2 - 12x + 19 in the form of (x + a)^2 + b ???

kow [346]

Answer:

( x-6)^2 -17

Step-by-step explanation:

X^2 - 12x + 19

we need it in given below form

(x + a)^2 + b

we know that

$(x + a)^2 = x^2 + 2ax + a^2\\$

lets convert that in same form

X^2 - 12x + 19 = x^2 + 2(-6)x + 19

comparing x^2 + 2(-6)x to x^2 + 2ax

we have a -6

now

(x-6)^2 = x^2 + 2(-6)x + 36

36 is missing in the x^2 + 2(-6)x + 19 hence to get that

we add and subtract 36 in the above equation

so we have

x^2 + 2(-6)x + 19 + 36 -36

rearranging it \

(x^2 + 2(-6)x + 36) -36 + 19 (x^2 + 2(-6)x + 36 =( x-6)^2)

=>( x-6)^2 -17

comparing the above equation to

(x + a)^2 + b

we have a = -6

b = -17

( x-6)^2 -17

7 0

3 years ago

Consider a value to be significantly low if its z score less than or equal to minus−2 or consider a value to be significantly hi

katrin2010 [14]

Answer:

Test scores of 10.2 or lower are significantly low.

Test scores of 31.4 or higher are significantly high.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 20.8, \sigma = 5.3$

Identify the test scores that are significantly low or significantly high.

Significantly low

Z = -2 and lower.

So the significantly low scores are thoses values that are lower or equal than X when Z = -2. So

$Z = \frac{X - \mu}{\sigma}$

$-2 = \frac{X - 20.8}{5.3}$

$X - 20.8 = -2*5.3$

$X = 10.2$

Test scores of 10.2 or lower are significantly low.

Significantly high

Z = 2 and higher.

So the significantly high scores are thoses values that are higherr or equal than X when Z = 2. So

$Z = \frac{X - \mu}{\sigma}$

$2 = \frac{X - 20.8}{5.3}$

$X - 20.8 = 2*5.3$

$X = 31.4$

Test scores of 31.4 or higher are significantly high.

3 0

4 years ago

a culture started with 6000 bacteria after 6 hours it grew to 7200 bacteria predict how many bacteria will be present after 17 h

Zigmanuir [339]

First find the rate of growth using the formula of
A=p e^rt
A 7200
P 6000
E constant
R rate of growth?
T time 6 hours
We need to solve for r
R=[log (A/p)÷log (e)]÷t
R=(log(7,200÷6,000)÷log(e))÷6
R=0.03 rate of growth

Now predict how many bacteria will be present after 17 hours using the same formula
A=p e^rt
A ?
P 6000
R 0.03
E constant
T 17 hours
A=6,000×e^(0.03×17)
A=9,991.7 round your answer to get
A=9992

8 0

3 years ago

Read 2 more answers