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zhenek [66]
3 years ago
9

X^2 + y^2 = 8 X-y=0 Select all of the following that are solutions to the system shown

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
5 0

X^2 + y^2 = 8
X-y=0 so x = y

replace x = y into X^2 + y^2 = 8

y^2 + y^2 = 8

2y^2 = 8

y^2 = 8/2

y^2 = 4

y = - 2 and y = 2

because x = y

so x = - 2 and x = 2

solutions:

x= - 2 and x = + 2

y= - 2 and y = + 2

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What is the value of tanØ
mr_godi [17]

Answer:

tan ∅ = 24 / 7

Step-by-step explanation:

cos ∅ = 7 / 25

sin^2 ∅ + cos^2 ∅ = 1

sin^2 ∅ + (7 / 25)^2 = 1

sin^2 ∅ = 1 - 49 / 625

sin^2 ∅ = 625 - 49 / 625

sin^2 ∅ = 576 / 625

sin ∅ = root 576 / 625

sin ∅ = 24 / 25

tan ∅ = sin ∅ / cos ∅

tan ∅ = 24/25  /  7/25

Therefore, tan ∅ = 24 / 7

OPTION 4.   24 / 7

8 0
3 years ago
The data show systolic and diastolic blood pressure of certain people. Find the regression​ equation, letting the first variable
MakcuM [25]

Full Question:

The data show systolic and diastolic blood pressure of certain people. Find the regression equation, letting the first variable be the independent (x) variable. Find the best predicted diastolic pressure for a person with a systolic reading of 113. use a significance level of 0.05.

Systolic| 150 129 142 112 134 122 126 120

Diastolic| 88 96 106 80 98 63 95 64

a. What is the regression equation?

^y = __ + __x (Round to two decimal places as needed.)

b. What is the best predicted value?

^y is about __ (Round to one decimal place as needed.)

Answer:

A. yhat = a + bx = -10.64 + 0.75x

B. 74.0

Step-by-step explanation:

A. To find the regression equation here, we apply the formulas and then apply it to find the value of y given value of x:

calculate xbar and ybar which is the average of the variables:

Where n(number of values in x or y)=8

xbar = sum of x/n = 129.375

ybar = sum of y/n = 86.25

to calculate b

b= [Sum x^2 * Sum y - Sum x * Sum x*y] / [N*Sum x^2 - (Sum x)^2]

b = 0.74891

To calculate a

a = ybar - b * xbar = -10.64023

Regression equation:

y=mx+b= -10.64 + 0.75x

B. given x = 113,

y = -10.64023 + 0.74891 * 113

y= 74.0

5 0
3 years ago
So far, Charlie has pures 456.6 Glories. He wants to burn a total of 500 calorierHow many more calories must Charlie burn?
klasskru [66]
Well if he’s burned 456.6 calories already and he needs to get to 500 then you would have to simply subtract 456.6 from 500
The equation: 500 - 456.6 = 43.4
Hope this helps!
4 0
3 years ago
Hey guys, I need some help. Would appreciate it.
34kurt

the 3th choice because it does not add up to 180, it actually adds up to something greater

7 0
3 years ago
HELP!!
Kazeer [188]

Answer:

(D)Lucita's estimate is too high.

6 0
3 years ago
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