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3 years ago

Evaluate 6h when h=8 Pls help

Mathematics

2 answers:

Elis [28]3 years ago

6 0

Answer:

Step-by-step explanation:

6h h=8

6 (8) = 6x8 = 48

tia_tia [17]3 years ago

4 0

Answer:

Step-by-step explanation:

You just have to multiply 6 by 8

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Determine the slope and y-intercept of each graph. Then, write the equation of the graph in slope-intercept form. please help

olchik [2.2K]

Answer:

slope = 2

y intercept = ( 0 , -1 )

equation:

y = 2x - 1

Step-by-step explanation:

7 0

3 years ago

a circle has a center (3,5) and a diameter AB. The coordinates of A are (-4,6). what are the coordinates of B?

Kruka [31]

Find the length of the radius.

$r= \sqrt{(3-(-4))^2+(5-6)^2}
\\r = \sqrt{7^2+(-1)^2}
\\r= \sqrt{50} 
\\ r=5 \sqrt{2}$

Find the length of the diameter.

d = 2r = 2 × 5√2 = 10√2

Point B must lie on a line AC, where C is a center of a circle.
Find equation of line AC.
A(–4, 6), C(3, 5)

$y-y_1= \frac{y_2-y_1}{x_2-x_1}(x-x_1)
\\y-6= \frac{5-6}{3-(-4)} (x-(-4))
\\y-6=- \frac{1}{7} (x+4)
\\7y-42=-x-4
\\x+7y-38=0$

The distance from B(x, y) to C(3, 5) is 5√2.
$\sqrt{(x-3)^2+(y-5)^2}=5 \sqrt{2} 
 \\(x-3)^2+(y-5)^2=(5 \sqrt{2})^2 
\\(x-3)^2+(y-5)^2=50$

Solve system of equations.
$x+7y-38=0
\\(x-3)^2+(y-5)^2=50
\\
\\x=38-7y
\\(38-7y-3)^2+(y-5)^2=50
\\(35-7y)^2+(y-5)^2=50
\\1225-490y+49y^2+y^2-10y+25-50=0
\\50y^2-500y+1200=0
\\y^2-10y+24=0
\\y^2-6y-4y+24=0
\\y(y-6)-4(y-6)=0 \\(y-6)(y-4)=0 \\y_1=6,y_2=4
$

$x_1=38-7y_1=38-7 \times 6 = 38-42=-4
\\x_2=38-7y_2=38-7 \times 4 = 38-28=10
$

Point B could have coordinates
$\\
\\(x_1,y_1)=(-4,6),(x_2,y_2)=(10,4)
$

But (–4, 6) are the coordinates of point A.
Therefore, point B has coordinates (10,4).

8 0

3 years ago

Mary borrowed $700 from a bank for 3 years and was charged simple interest. The total interest that she paid on the loan $42. As

Mashcka [7]

Answer:

2 %

Step-by-step explanation:

Money borrowed, Principal, P = $ 700

time of investment, T = 3 years

Total interest paid, Simple interest, S.I = $ 42

Let the rate of interest is R.

Use the formula for simple interest.

$S.I. =\frac{P\times R\times T}{100}$

By substituting the values

$42 =\frac{700\times R\times 3}{100}$

4200 = 2100 R

R = 2 %

Thus, the rate of interest is 2%.

3 0

4 years ago

When she just turned 22, Rae purchased 145 shares of Stock A for $25 per share; 87 shares of Stock B for $38 per share; 46 share

Damm [24]

Answer:

170

Step-by-step explanation:

you have to divide

8 0

3 years ago

What single percentage change is equivalent to a 15% decrease followed by a 16% decrease?

Tomtit [17]

Answer:

Decrease of 28.6%.

Step-by-step explanation:

The multiplier for a increase of a% is 1 + a/100.

The multiplier for a decrease of b% is 1 - b/100.

Decrease of 15%

1 - 15/100 = 1 - 0.15 = 0.85

Decrease of 16%

1 - 16/100 = 1 - 0.16 = 0.84

Both:

0.85*0.84 = 0.714

Change:

The initial percentage is 100% = 1.

0.714 - 1 = -0.286

Negative, so a decrease

The answer is a decrease of 28.6%.

8 0

3 years ago