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Naily [24]
2 years ago
6

Which describes how to graph h (x) = negative RootIndex StartRoot x + 8 EndRoot by transforming the parent function?

Mathematics
1 answer:
SashulF [63]2 years ago
5 0

Answer:

Reflect the parent function over the x-axis, and translate it 8 units to the left.

Step-by-step explanation:

The given function is

y =  -  \sqrt{x + 8}

The parent function is

y =  \sqrt{x}

Since there is a negative multiply the transformed function, there is a reflection in the x-axis.

Since 8 is adding, within the square root, there is a horizontal translation of 8 units to the left.

Therefore to graph the given function, reflect the parent function over the x-axis, and translate it 8 units to the left.

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If y is the circumcenter is angle STU find each measure
snow_tiger [21]

Answer:

Measures are SV=9 units., SY=14 units, YW=\sqrt75units , YW=\sqrt27units

Step-by-step explanation:

Given Y is the circumcenter of ΔSTU. we have to find the measures SV, SY, YW and YX.

As Circumcenter is equidistant from the vertices of triangle and also The circumcenter is the point at which the three perpendicular bisectors of the sides of the triangle meet.

Hence, VY, YW and YX are the perpendicular bisectors on the sides ST, TU and SU.

Given ST=18 units.

As VY is perpendicular bisector implies SV=9 units.

Also in triangle VTY

YT^{2}=VY^{2}+VT^{2}

⇒ 14^{2}=VY^{2}+9^{2}

⇒ VY^{2}=115

As vertices of triangle are equidistant from the circumcenter

⇒ SY=YT=UY=14 units

Hence, SY is 14 units

In ΔUWY, UY^{2}=YW^{2}+UW^{2}

⇒ 14^{2}=YW^2+11^{2}

⇒ YW^2=196-121=75 ⇒ YW=\sqrt75units

In ΔYXU, UY^{2}=YX^{2}+XU^{2}

⇒ 14^{2}=YX^2+13^{2}

⇒ YX^2=196-169=27 ⇒ YW=\sqrt27units

Hence, measures are SV=9 units., SY=14 units, YW=\sqrt75units , YW=\sqrt27units





4 0
2 years ago
isco Fever is randomly found in one half of one percent of the general population. Testing a swatch of clothing for the presence
maks197457 [2]

Answer:

0.8894 is the probability that the test result comes back negative if the disease is present .

Step-by-step explanation:

We are given the following in the question:

P(Disco Fever) = P( Disease) =

P(D) = \dfrac{1}{2}\times 1\% = 0.5 \times 0.01 = 0.005

Thus, we can write:

P(No  Disease) =

P(ND) =1 - P(D)= 0.995

P(Test Positive given the presence of the disease) = 0.99

P(TP | D ) = 0.99

P( false-positive) = 4%

P( TP | ND) = 0.04

We have to evaluate the probability that the test result comes back negative if the disease is present, that is

P(test result comes back negative if the disease is present)

By Bayes's theorem, we can write:

P(ND|TP) = \dfrac{P(ND)P(TP|ND)}{P(ND)P(TP|ND) + P(D)P(TP|D)}\\\\P(ND|TP) = \dfrac{0.995(0.04)}{0.995(0.04) + 0.005(0.99)} = 0.8894

0.8894 is the probability that the test result comes back negative if the disease is present .

5 0
1 year ago
Sydney was asked whether the following equation is an identity: (2x^2-18)(x+3)(x-3)=2x^4-36x^2+162
weqwewe [10]

Answer:

Any value of x x makes the equation true. All real numbers Interval Notation: ( − ∞ , ∞ ) .

4 0
2 years ago
Read 2 more answers
If a function f(m) models the number of hours it take to hike m miles through the jungle, which describes the appropriate domain
IrinaK [193]

the correct answer is d

3 0
1 year ago
Read 2 more answers
A rate that describes how much smaller or larger the scale drawing is than the real object
AfilCa [17]
It is called a scale factor :)
8 0
2 years ago
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