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3 years ago

For 4, use the square root method to solve the quadratics 4) 5x² – 35 = 0

Mathematics

1 answer:

prisoha [69]3 years ago

3 0

Answer:

Look at the picture. The answer and the steps are all in it.

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What's the length of side AB in ∆ABC shown? A. 5 B. √313 C. 6 D. √15

HACTEHA [7]

Answer:

The value of x = 5 units.

Step-by-step explanation:

Given the right-angled triangle ∆ABC with the following dimensions

AC = a = 12

BC = c = hypotenuse = 13

AB = b = x

Pythagorean Theorem

For a right-angled triangle with the sides, a and b the hypotenuse c is defined as:

$c=\sqrt{a^2+b^2}$

Thus, using the Pythagorean Theorem to determine the value 'x',

$b=\sqrt{c^2-a^2}$

as b = x, so

$x=\sqrt{c^2-a^2}$

a = 12

c = 13

$x=\sqrt{13^2-12^2}$

$x=5$

Therefore, the value of x = 5 units.

7 0

3 years ago

Consuelo living room is in the shape of a rectangle and haa an area of 360 square feet. the width of the livingroom is 5/8 its l

Ad libitum [116K]

360=LW
W=5/8 L 

360=L*5/8 L=5/8 L^2 
L^2=8*360/5=8*72 
L=sqrt(4*144)=24
The length is 24

4 0

3 years ago

A machine needs 2 of its gears replaced. You find 2 gears, one manufactured 5 years ago and the other manufactured 10 years ago.

andrey2020 [161]

These are independent events so
P(A and B) = P(A) * P(B)

Therefore
P(Both gears fail) = 0.05 * 0.08 = 0.004 or 0.4%

3 0

3 years ago

Help me please 2(x-4) = 6x - 6

Dmitrij [34]

Answer:

-1/2

Step-by-step explanation:

2(x-4)=6x-6

2x-8=6x-6

2x-6x-8=-6

-4x-8=-6

-4x=-6+8

-4x=2

x=2/-4

simplify

x=-1/2

8 0

3 years ago

Read 2 more answers

For altitudes up to 36,000 feet, the relationship between ground temperature and atmospheric

Verizon [17]

Answer:

The equation for a is $a=-\frac{2000}{7}*(t-g)$

The altitute is 101,428.57 feet

Step-by-step explanation:

You know that the relationship between ground temperature and atmospheric temperature can be described by the formula

t = -0.0035a +g

where:

t is the atmospheric temperature in degrees Fahrenheit
a is the altitude, in feet, at which the atmospheric temperature is measured
g is the ground temperature in degrees Fahrenheit.

Solving the equation for a:

-0.0035a +g=t

-0.0035a= t - g

$a=\frac{t-g}{-0.0035}$

$a=-\frac{2000}{7}*(t-g)$

The equation for a is $a=-\frac{2000}{7}*(t-g)$

If the atmospheric temperature is -305 °F and the ground temperature is 50 °F, then t= -305 °F and g= 50 °F

Replacing in the equation for a you get:

$a=-\frac{2000}{7}*(-305-50)$

$a=-\frac{2000}{7}*(-355)$

a= 101,428.57

The altitute is 101,428.57 feet

4 0

3 years ago