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3 years ago

Heloo i really need help! any helo would he appreciated!

Mathematics

2 answers:

yarga [219]3 years ago

7 0

Answer:

BC = 50

Step-by-step explanation:

AB and AD are congruent, thus

AB = AD, that is

5x + 10 = 3x + 18 ( subtract 3x from both sides )

2x + 10 = 18 ( subtract 10 from both sides )

2x = 8 ( divide both sides by 2 )

x = 4

Thus

BC = 12x + 2 = 12(4) + 2 = 48 + 2 = 50

trapecia [35]3 years ago

6 0

Answer:

The measure of angle DPA is 39°

Step-by-step explanation:

step 1

Find the value of x we know that arc AB+arc BC+arc CD+arc DA=360°

substitute the values

(5x+10)°+(x+1)°+3x°+(3x+25)°=360°

Solve for x

(12x+36)°=360°

12x=360°-36°

x=324°/12=27°

step 2 Find the measure of angle DPA

we know that The measurement of the external angle is the semi-difference of the arcs which comprises

m∠DPA=(1/2)[arc DA-arc BC]

arc DA=3(27)+25=106°

arc BC=27+1=28°

substitute the values

m∠DPA=(1/2)[106°-28°]=39°

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a parabola has an x-intercept at 2, its axis of symmetry is the line x=4, and the y-coordinate of its vertex is 6. Determine the

nlexa [21]

Answer:

The standard equation of the parabola is:

$y=-\frac{3}{2}x^2+12x-18$

Step-by-step explanation:

An x intercept of 2 means that the point (2, 0) is in the graph of the parabola.

We can also write the general expression for the parabola in vertex form, since we can use the information on the coordinates of the vertex: (4, 6) - recall that the axis of symmetry of the parabola goes through the parabola's vertex, so the x-value of the vertex must be x=4.

$y-y_{vertex}=a\,(x-x_{vertex})^2\\y-6=a\,(x-4)^2$

Now we can find the value of the parameter "a" by using the extra information about the point (2, 0) at which the parabola intercepts the x-axis:

$y-6=a\,(x-4)^2\\0-6=a\,(2-4)^2\\-6=a\,4\\a=-\frac{6}{4} =-\frac{3}{2}$

Then the equation of the parabola becomes:

$y-6=-\frac{3}{2} \,(x-4)^2\\y-6=-\frac{3}{2} (x^2-8x+16)\\y-6=-\frac{3}{2}x^2+12x-24\\y=-\frac{3}{2}x^2+12x-18$

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3 years ago

The work shows how to use long division to find (x2 + 3x –9) ÷ (x – 2).

Maksim231197 [3]

2x+3x -9. You can simplify this to 5x-9.

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3 years ago

Jerome is on top of a mountain that is 12,060 feet

pochemuha

Answer:

120

Step-by-step explanation:

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2 years ago

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Marizza181 [45]

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Step-by-step explanation:

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3 years ago

Read 2 more answers

line segment ab has a slope 5/4 and contains point a(8,-7). what is the y-coordinate of point q(3,y) if qa is perpendicular to l

MArishka [77]

U have a slope of 5/4...a perpendicular line will have a negative reciprocal slope...which means, the slope we need is -4/5.

Now we use y = mx + b
slope(m) = -4/5
(8,-7)
-7 = -4/5(8) + b
-7 = -32/5 + b
-7 + 32/5 = b
-35/5 + 32/5 = b
-3/5 = b

equation is : y = -4/5x - 3/5.....4x + 5y = -3

4x + 5y = -3....when x = 3
4(3) + 5y = -3
12 + 5y = -3
5y = -3-12
5y = - 15
y = -15/5
y = - 3 <===

7 0

3 years ago

Heloo i really need help! any helo would he appreciated!​

Heloo i really need help! any helo would he appreciated!