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Kay [80]
2 years ago
5

Tas

Mathematics
1 answer:
BigorU [14]2 years ago
3 0

Answer: (8,10)

Step-by-step explanation:

To go from A to C, we go right 2 units and up 6 units.

So, if we let the fourth vertex be D, then to go from B to D, we must also go right 2 units and up 6 units from B.

Therefore, the answer is (8, 10).

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What are the coordinates of Point A?
Murrr4er [49]
B.

If you go left 2 and up 3.5, you’ll get point A
4 0
3 years ago
Solve the equation by completing the square.Round to the nearest hundredth if necessary. X^2–x–7=0
lesya [120]
NOTE:  \left(x-\dfrac{1}{2}\right)^2=x^2-x+\dfrac{1}{4}

x^2-x-7=0 \\ \\ \underbrace{x^2-x+\frac{1}{4}}_{\left(x-\frac{1}{2}\right)^2}-7\dfrac{1}{4}=0 \\ \\  \\ \left(x-\frac{1}{2}\right)^2=7\frac{1}{4}=\frac{29}{4} \qquad /\sqrt{}\\ \\  \left|x-\frac{1}{2}\right|=\dfrac{\sqrt{29}}{2} \\ \\  x_1=\dfrac{1}{2}-\dfrac{\sqrt{29}}{2} \approx  -2.19 \\ \\ x_2=\dfrac{1}{2}+\dfrac{\sqrt{29}}{2} \approx 3.19

ANSWER:  c)

5 0
3 years ago
Rita can make 8 cakes for a bakery each day. So far, she has orders for more than 32 cakes. Right now, Rita needs more than four
Andru [333]

Answer:

x > 4

Step-by-step explanation:

Calling x the number of days Rita needs to bake the total amount of cakes, then inequality is x*8 > 32. Because she has orders for more than 32 cakes and can make 8 cakes per day. Dividing by 8 every side of the inequality gives: x > 4. Graph of the solution is attached (notice that 4 is not included).

5 0
3 years ago
A research company claims that no more than 55% of Americans regularly watch FOX News. You decide to test this claim and ask a r
7nadin3 [17]

Answer: z(e) = 2.07

Step-by-step explanation:

1.-The problem is about a test of proportions. As research company claims than no more 55 % of Americans regularly watch Fox News

The null hypothesis is  H₀       P₀ ≤ 0.55       from 55%

And the alternative hypothesis is  Hₐ      Pₐ > .55

Is one tail test

2.-We have to specify significance level we assume our test will be for a significance level α = 5%  or α = 0,05

3.-Calculation of z (c) = ??  and z (e) = '??

For z (c) we find in z table the value of  z(c) = 1.64

For z (e) = ( P -P₀)/√p₀q₀/n     z(e) = 0.05 / √(0.55*0,45)/425                         z(e) = 0,05/ 0.02413    z(e) = 2.07

z(e) > z(c)  threfore z(e) is in the rejection zone . We reject null hyothesis

4 0
3 years ago
NO LINKS! Help me with this problem​
Basile [38]

{\qquad\qquad\huge\underline{{\sf Answer}}}

Let's solve ~

Equation of directrix is : y = 1, so we can say that it's a parabola of form : -

\qquad \sf  \dashrightarrow \: (x - h) {}^{2}  = 4a(y - k)

  • h = x - coordinate of focus = -4

  • k = y - coordinate of focus = 5

  • a = half the perpendicular distance between directrix and focus = 1/2(5 - 1) = 1/2(4) = 2

and since the focus is above the directrix, it's a parabola with upward opening.

\qquad \sf  \dashrightarrow \: (x - ( - 4)) {}^{2}  = 4(2)(y - 5)

\qquad \sf  \dashrightarrow \: (x  + 4) {}^{2}  = 8(y - 5)

\qquad \sf  \dashrightarrow \:  {x}^{2}  + 8x + 16 = 8y - 40

\qquad \sf  \dashrightarrow \: 8y =  {x}^{2}  + 8x + 56

\qquad \sf  \dashrightarrow \: y =  \cfrac{1}{8} {x}^{2}   + x + 7

6 0
1 year ago
Read 2 more answers
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