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Phoenix [80]
3 years ago
14

RST is an equilateral triangle; TXIRS - T A R х S If RT = 8, then TX=

Mathematics
1 answer:
andre [41]3 years ago
8 0

Answer:

TX=8, all sides of an equilateral triangle are congruent

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Find the midpoint of the line segment with the given endpoints (-4,4) (5,-1)
seraphim [82]

Answer:

(1/2), (3/2)

Step-by-step explanation:

midpoint fomula

(x1+x2)/ 2,  (y1+y2)/2

(5-4)= 1    1/2 = (1/2)

(-1+4)=3    3/2=(3/2)

3 0
3 years ago
Read 2 more answers
PLs help 50 PTS!!!!! PLEASE ILL GIVE BRAINLIEST!!!!!
Nookie1986 [14]

Answer:

\large\boxed{y=\dfrac{1}{4}x^2-x-4}

Step-by-step explanation:

The equation of a parabola in vertex form:

y=a(x-h)^2+k

<em>(h, k)</em><em> - vertex</em>

The focus is

\left(h,\ k+\dfrac{1}{4a}\right)

We have the vertex (2, -5) and the focus (2, -4).

Calculate the value of <em>a</em> using k+\dfrac{1}{4a}

<em>k = -5</em>

-5+\dfrac{1}{4a}=-4        <em>add 5 to both sides</em>

\dfrac{1}{4a}=1           <em>multiply both sides by 4</em>

4\!\!\!\!\diagup^1\cdot\dfrac{1}{4\!\!\!\!\diagup_1a}=4

\dfrac{1}{a}=4\to a=\dfrac{1}{4}

Substitute

a=\dfrac{1}{4},\ h=2,\ k=-5

to the vertex form of an equation of a parabola:

y=\dfrac{1}{4}(x-2)^2-5

The standard form:

y=ax^2+bx+c

Convert using

(a-b)^2=a^2-2ab+b^2

y=\dfrac{1}{4}(x^2-2(x)(2)+2^2)-5\\\\y=\dfrac{1}{4}(x^2-4x+4)-5

<em>use the distributive property: a(b+c)=ab+ac</em>

y=\left(\dfrac{1}{4}\right)(x^2)+\left(\dfrac{1}{4}\right)(-4x)+\left(\dfrac{1}{4}\right)(4)-5\\\\y=\dfrac{1}{4}x^2-x+1-5\\\\y=\dfrac{1}{4}x^2-x-4

3 0
3 years ago
Which of these professionals most directly uses geometry?
notka56 [123]
Good Morning!
<span>air traffic controller
</span>

The most cited professional who uses geometry is the air traffic controller. This professional needs to calculate routes, distances and times traveled in order to avoid accumulation of aircraft at the time of landing, for example.
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2 years ago
Given that ac=22 and bc=7, find ab
Annette [7]

Answer:

I'll look into that answer

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3 years ago
Leah's house has a media room with a large flat-screen television to watch movies. The media room television has a width of 8 fe
Naddik [55]
The Answer Would Be 64 because if you divide 8/4.5 its equal to 64/36.
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3 years ago
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