Draw a number line and mark all described points. a −1≤x≤3

Mathematics

1 answer:

kirill115 [55]2 years ago

7 0

Answer:

Closed Dot on -1 with arrow pointing to the right with Closed Dot on 3.

X-----------------X

-1 3

Step-by-step explanation:

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find the value of x of given figure and solve this question step by step plzz help question number D

Alinara [238K]

Answer:

x=15 cm

Step-by-step explanation:

The two triangles in the diagram are:

ABC and BDC

First we have to find the third side (hypotenuse) of BDC so that we can use it to find the value of x.

Hypotenuse is the largest side of a triangle which is usually in front of the right angle.

So in BDC

$Base = BD =10cm\\Hypotenuse = BC = ?\\Perpendicular = CD = 2\sqrt{11}cm$

Applying Pythagoras theorem:

$(Hypotenuse)^2 = (Base)^2 + (Perpendicular)^2\\BC^2 = BD^2 + CD^2\\BC^2 = (10)^2 + (2\sqrt{11})^2\\BC^2 = 100+(2^2 * 11)\\BC^2 = 100+(4*11)\\BC^2 = 100+44\\BC^2 = 144\\\sqrt{BC^2} = \sqrt{144}\\BC = 12cm$

Solving for triangle ABC

$Base = BC = 12 cm\\Perpendicular = AB = 9 cm\\Hypotenuse = AC = x\\$

Applying Pythagoras theorem

$AC^2 = BC^2+AB^2\\x^2 = (12)^2 + (9)^2\\x^2 = 144+81\\x^2 = 225\\\sqrt{x^2} = \sqrt{225}\\x = 15cm$

Hence,

x=15 cm

8 0

2 years ago

Solve the system of equations. y = -6x + 9 y = -3x + 3

abruzzese [7]

$- 6x + 9 = - 3x + 3 \\ 3x = 6 \\ x = 2$

Substitute x = 2 into y = - 6x + 9
$y = - 6(2) + 9 \\ y = - 12 + 9 \\ y = - 3$

Answer : x = 2, y = - 3

Hope this helps. - M

6 0

3 years ago

Read 2 more answers

Can someone help me ?

antoniya [11.8K]

Answer:

AC is four times longer than DF

Step-by-step explanation:

AC is the diameter of the circle E and DE is the radius of the circle E

AC = 2 x DE

DE is the diameter of the circle F and DF is the radius of the circle F

DE = 2 x DF