Which equation represents a line with a a slope of -8 a y-intercept of 4

The area of the triangle is 35 square feet. Use a quadratic equation to find the length of the base. Round your answer to the ne

Vesnalui [34]

Answer:

10.6 ft

Step-by-step explanation:

The complete question is:

The area of the triangle is 35 square feet. Use a quadratic equation to find the length of the base. Round your answer to the nearest tenth.Base=x+4 Height=x

SOLUTION:

As you know, Area of triangle 'A' = 1/2 x b x h

Where,

Base 'b' = x+4

Area 'A' = 35 ft²

Height 'h'= x

35 = (1/2)(x+4)x

35 =(x² + 4x)/2

2 * 35 =x² + 4x

70 = x² + 4x

x² + 4x - 70=0

Formula for the quadratic equation is

x = [- b ± √(b² - 4ac)]/2a

Where,

a=1, b= 4, c=-70

Plugging in the values.

x = [- 4 ± √4² - (4 × 1 × - 70)] / (2 × 1 )

x = [- 4 ± √(16 + 280)]/2

x = [- 4 ± √296]/2

x = (- 4 + 17.2)/2 or x = (- 4 - 17.2)/2

x = 13.2/2 or x = - 21.2/2

As, we choose to ignore negative value of 'x'

Therefore, x = 13.2/2 = 6.6

And, Length of the base will be:

x + 4 = 6.6 + 4 => 10.6 ft

3 0

3 years ago

Find a gradient of a line that is parallel and perpendicular to this line with this gradient of -2

yulyashka [42]

a gradient of a line that is parallel and perpendicular to this line with this gradient of -2

Gradient is the slope

So slope of the line =-2

Slope of parallel line is equal to the slope of the line

So slope of parallel line = -2

Slope of perpendicular line is equal to negative reciprocal of slope of the line

We know slope of line = -2

Negative reciprocal = $\frac{1}{2}$

So , Slope of perpendicular line= $\frac{1}{2}$

7 0

3 years ago

Luis can swim 1 ½ meters per second. How many meters can he swim in a minute? Show your work and state the answer.

just olya [345]

Luis can swim 90 meters per minute
1 1/2 x 60 = 90

7 0

3 years ago

6K2 - 10k + 50<br> How to factor

baherus [9]

Answer:

there are no real solutions

Step-by-step explanation:

The discriminant is (-10)² - 4*6*50 is below zero, hence there are no solutions.

6 0

3 years ago

Jiminy's Cricket Farm issued a bond with 15 years to maturity and a semiannual coupon rate of 5 percent 3 years ago. The bond cu

Elan Coil [88]

Answer:

Pretax cost of debt is 5.94%

After tax cost of debt is 4.63%

Step-by-step explanation:

The pretax cost of the debt is the yield to maturity on the debt issuance,which can be computed using the rate formula in excel:

=rate(nper,pmt,-pv,fv)

nper is the number of semi-annual interest payments payable by the bond from year 3 onward ,that is the number of years to maturity 12*2=24

pmt is the semi-annual interest payable by the bond issuer which is face value of the bond ,$1000*5%/2=$25

pv is the current price of the bond which 92% of face value i.e 92%*$1000=$920

fv is the face value of the bond at $1000

=rate(24,25,-920,1000)

rate=2.97%

the rate calculated is a semi-annual rate,annual rate =2.97%*2

=5.94%

The pretax cost of debt is 5.94%

After tax cost of debt=pretax cost of debt*(1-t)

t is the tax rate of 22%

after tax cost of debt =5.94%*(1-22%)

=4.63%

8 0

4 years ago