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2 years ago

These triangles can be proven congruent by:

Mathematics

1 answer:

Alborosie2 years ago

8 0

SSS because all of the sides are equal

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Which of the following is an extraneous solution of the square root of -3x-2=x+2

yarga [219]

Answer:

x=-6 is an extraneous solution

Step-by-step explanation:

we have

$\sqrt{-3x-2} =x+2$

squared both sides

$-3x-2=(x+2)^2$

$-3x-2=x^2+4x+4$

$x^2+7x+6=0$

solve the quadratic equation by graphing

The solution is x=-6 and x=-1

see the attached figure

Verify each solution

substitute the value of x in the original expression

For x=-6

$\sqrt{-3(-6)-2} =-6+2$

$\sqrt{16} =-4$

$4=-4$ ----> is not true

Is an extraneous solution

For x=-1

$\sqrt{-3(-1)-2} =-1+2$

$\sqrt{1} =1$

$1=1$ ----> is true

Is the solution

4 0

3 years ago

PLEASE HELP IM STRUGGLING!!!

Mnenie [13.5K]

Answer:

10. 0.99
11. -60
12. 5.5

Step-by-step explanation:

Use the slope formula:

m = (y2 - y1)/(x2 - x1)

10.

m = (6.24 - 3.27)/(5 - 2) = 2.97/3 = 0.99

11.

m = (240 - 360)/(3 - 1) = -120/2 = -60

12.

m = (8.84 - 6.09)/(7 - 2) = 2.75/5 = 5.5

6 0

3 years ago

Please say the balance

Misha Larkins [42]

Answer:

750.64

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Express the product of 2xsquared+6x-8 and x+3 in standard form

postnew [5]

Answer:

2x^3+12x^2+10x-24

Step-by-step explanation:

(2x^2+6x-8)(x+3)

2x^3+6x^2-8x+6x^2+18x-24

2x^3+6x^2+6x^2-8x+18x-24

2x^3+12x^2+10x-24

4 0

3 years ago

A sandbox in the shape of a rectangular prism is 2 feet deep and 6 feet wide. Filled to the top it can hold 72 cubic feet of san

Sedbober [7]

Answer:

height=6 ft

Step-by-step explanation:

-The volume of a rectangular prism is given by the formula:

$V=lwh$

#We make h the subject of the formula the solve for it:

$V=lwh\\\\\frac{V}{lw}=h\\\\\therefore h=\frac{V}{lw}$

#Substitute to solve for height:

$h=\frac{V}{lw}\\\\=\frac{72}{2\times 6}\\\\=6\ ft$

Hence, the prism has a height of 6 ft.

6 0

2 years ago