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devlian [24]
2 years ago
6

Match the variables.

Mathematics
1 answer:
vagabundo [1.1K]2 years ago
8 0
Where are the variables?
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What is the value of d to the nearest tenth?
Ghella [55]

Answer: d=13.8

Step-by-step explanation:

A line that cuts a circle at two points is called "secant".

There is a theorem known as "Intersecting Secant Theorem". This is the theorem you need to use to find the value of "d".

According the Intersecting Secant Theorem:

(14)(14+20)=(16)(16+d)\\(14)(34)=(16)(16+d)

Having this expression, the next step is to solve for "d":

Use Distributive property:

476=256+16d

Subtract 256 from both sides:

476-256=-256+256+16d

220=16d

Divide both sides by 16:

\frac{220}{16}=\frac{16d}{16}\\\\13.75=d

The value of "d" rounded to the nearest tenth is:

d=13.8

6 0
3 years ago
Find the x-intercepts of the parabola with vertex (-4,2) and y-intercept (0,-30). Write your answer in this form: (x1, y1),(x2,
Ainat [17]
Vertex form of a parabola 
<span>y = a (x - h)^2 + k </span>

<span>where (h, k) is the vertex </span>
Substituting the values of h and k.
we get, 

<span>y = a(x + 4)^2 + 2 </span>

<span>substituting in the point (0, -30) for  x and  y
</span><span>-30 = a (0 + 4)^2 + 2 

</span>solve for a,

<span>-30 = 16 a + 2 </span>
<span>-32 = 16 a </span>
<span>-2 = a </span>

<span>y = -2(x + 4)^2 + 2 </span>

<span>Put y = 0 </span>

<span>-2 x^2 - 16 x - 30 = 0 </span>
<span>-2(x^2 + 8 x + 15) = 0 </span>
<span>x^2 + 8 x + 15 = 0 </span>
<span>(x + 3)(x + 5) = 0 </span>

<span>x = -3
x = -5</span>
3 0
3 years ago
Nine lollies cost less than $10, while ten lollies cost more than $11 how much does each lollipop cost?
irina [24]

$21 it will cost for lollipop

5 0
3 years ago
Read 2 more answers
Gwendolyn is asked to solve the equation -4(x-3) = 20. She shows the work below and states that the solution is x=-8
bazaltina [42]

Answer:

x = -2

Step-by-step explanation:

-4(x-3) = 20

-4x + 12 = 20

^ Here, Glendon added 12 to 20 instead of subtracting. Her equation was not balanced.

-4x = 8

x = -2

8 0
3 years ago
Please help!!! Asap plz
sveticcg [70]
What i cn help with isto calm down becaus ether eis nothing there so CALM down
4 0
3 years ago
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