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lianna [129]
2 years ago
9

Graph a parabola whose vertex is at (3, 5) with y-intercept at y= 1

Mathematics
1 answer:
astraxan [27]2 years ago
4 0

Step-by-step explanation:

Substituting into vertex form, the equation is:

y = a(x-3)^2 + 5

The y-intercept is when x=0, so substituting this in,

1=a(0-3)^2 + 5

-4 = 9a

a=-4/9

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The triangle below is isosceles. Find the length of side xx in simplest radical form with a rational denominator.
coldgirl [10]

Answer:

Solution given:

Since the given triangle is isosceles and right angled triangle

perpendicular [p]=base[b]=x

hypotenuse [h]=6

we have

by using Pythagoras law

p²+b²=h²

x²+x²=6²

2x²=36

x²=36/2

x²=18

x=\sqrt{18}

<u>x</u>=\bold{3\sqrt{2}}

6 0
3 years ago
P divides a line segment AB into two equal halves.
Yuri [45]

Answer:

  A(-4, 1)

Step-by-step explanation:

The parts being equal means ...

  A - P = P - B

  A = 2P - B . . . . . . . . useful to remember for P being the midpoint of AB

  A = 2(-1, 4) -(2, 7) = (-2-2, 8-7)

  A = (-4, 1)

8 0
3 years ago
Sarah has 2 trees in her backyard. The elm tree’s current height is 38 inches. It grows 4 inches each year. The oak tree is 45.5
Viktor [21]
38 + 4 = 42 (1 year); 42 + 4 = 46 (2 years); 46 + 4 = 50 (3 years); 50 + 4 = 54 (4 years); 54 + 4 = 58 (5 years)
45.5 + 2.5 = 48 (1 year); 48 + 2.5 = 50.5 (2 years); 50.5 + 2.5 = 53 (3 years); 53 + 2.5 = 55.5 (4 years); 55.5 + 2.5 = 58 (5 years)
It will take 5 years before the trees are the same height, 58 inches. 
5 0
3 years ago
please explain it to me that how I gonna answer this : integral of secx I know the answer but how?​
Gnoma [55]

Answer:

We know that the derivative of sec x is sec x tan x. Thus, the integral of sec x tan x is sec x. i.e., ∫ sec x tan x dx = sec x + C.

Step-by-step explanation:

The standard trick used to integrate secx is to multiply the integrand by 1 = sec x+tan x. sec x+tan x. and then substitute y = secx + tanx, dy = (secxtanx + sec2 x) dx. ∫ secx dx = ∫ secx sec x+tan x).

8 0
3 years ago
5. Three jars of crushed ginger costs $2.00. How many jars can you buy for $6.00?​
Law Incorporation [45]

Answer:

9 jars

Step-by-step explanation:

If 3 jars cost $2

and 3 times 2 is $6 then just multiply 3 by 3 to get 9 jars.

Hope this helped.

A brainliest is always appreciated.

5 0
3 years ago
Read 2 more answers
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