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oee [108]
2 years ago
15

5. The points (4, 1) and (x,-6) lie on the same line. If the slope of the line is 1, what is the value of

Mathematics
1 answer:
Rzqust [24]2 years ago
8 0

\frac{1 + 6}{x - 4}  = 1

x - 4 = 7

x = 11

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Which values from the set{5,7,9,11,13} make the inequality w-4<8 true?
Rasek [7]

Answer:

5, 7, 9, 11

Step-by-step explanation:

Solve the inequality

w - 4 < 8 ( add 4 to both sides )

w < 12

w ∈ { 5, 7, 9, 11 }

7 0
3 years ago
How many solutions are there for the system x^2+4y^2=100 and 4y-x^2=-20
never [62]
There are 5 solutions for this system.

x^2 + 4y^2 = 100  ____1
4y - x^2 = -20  ____2
Add both 1 & 2 together. x^2 gets cancelled
4y^2 + 4y = 80   (send 80 to the other side and divide by 4)
Then equation the becomes : y^2 + y -20 =0
Now factorise the equation: (y+5) (y-4) = 0
Solve for y :  y = -5 and y = 4
Using the values of y to find the values of x. From equation 1:
x^2 = 100 - 4y^2    x = /100 - 4y^2  (/ means square root) Replace values of y
y = -5, x = /100 - 4(-5)^2 = /100 - 100 = 0
y = 4, x = /100 - 4(4)^2 = / 100 - 64 = /36 = -6 or 6
Thus we have 6 solutions y = -5, 4 and x = -6, 0, 6
6 0
3 years ago
Yu Xing paid 3.60 dollar for 2 pens after a 10 percent discount .What was the usual price of 1 pen.
notka56 [123]

Answer:

2 $

Step-by-step explanation:

let the original price be x

price after 10% discount = 3.60$

x -  \frac{10}{100} \times x = 3.60

\frac{100x - 10x}{100}  = 3.60 \\  \frac{90x}{100}  = 3.60 \\ 9x = 36 \\ x = 4

The original price of 2 pens is 4$

original price of one pen = 4/ 2

<u>= 2 $</u>

8 0
3 years ago
X to the second power + 6x - 7 = 0
velikii [3]
X can equal -7 or 1
X = -7 and 1
6 0
4 years ago
1)The pyramid has a square base that us inscribed in the circular base of the cone. Draw an image of the composite shape of the
DENIUS [597]

Answer:

Diameter of the circle is 8\sqrt{2} units

Step-by-step explanation:

It is given that the vertices of the square fall on the circle.

So, the diagonal of the square is the diameter of the circle.

Also, the diagonal and the two sides of the square form a right angled triangle.

By Pythogoras theorem,

hypotenuse^{2} =side^{2} +side^{2}

= 8^{2} +8^{2}

= 2(8^{2} )

hypotenuse=8\sqrt{2} units

Hence, the diameter of the circle is 8\sqrt{2} units

7 0
3 years ago
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