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3 years ago

What are the steps to solve the following quadratic equation: 9x +1= 5

Mathematics

2 answers:

adelina 88 [10]3 years ago

7 0

Answer

First - Use subtraction property

Second - add or subtract like terms

Third - Divison property

Fourth - X=4/9

Step-by-step explanation:

ra1l [238]3 years ago

6 0

4/5

Step-by-step explanation:

9x+1=5

or, 9x=5-1

or, 9x=4

therefore x=4/5

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An athlete ran a sprint of 100 ft in 3.1 s. At what speed was the athlete running in miles per hour? Round to the nearest mile p

nordsb [41]

Answer:

22 miles per hour

Step-by-step explanation:

we know that

The speed is the ratio of distance by the time

Let

d -----> distance in feet

t ----> time in seconds

s ----> the speed in ft/sec

$s=\frac{d}{t}$

we have

$d=100\ ft\\t=3.1\ sec$

substitute

$s=\frac{100}{3.1}$

$s=32.26\frac{ft}{sec}$

Remember that

$1\ mi=5,280\ ft$

$1\ h=3,600\ sec$

Convert ft/sec to mi/h

$s=32.26\frac{ft}{sec}=32.26\frac{(1/5,280)}{(1/3,600)}=32.26(\frac{3,600}{5,280})=22\ \frac{mi}{h}$

7 0

2 years ago

Who is greater 2/3 or 7/8

eduard

2/3= 16/24

7/8= 21/24

So, 7/8 is larger.

4 0

3 years ago

Read 2 more answers

Consider the parabola r(t)equalsleft angle at squared plus 1 comma t right angle, for minusinfinityless thantless thaninfinity

kodGreya [7K]

Given:- $r(t)=< at^2+1,t>$ ; $-\infty < t< \infty$ , where a is any positive real number.

Consider the helix parabolic equation :

$r(t)=< at^2+1,t>$

now, take the derivatives we get;

$r{}'(t)=$

As, we know that two vectors are orthogonal if their dot product is zero.

Here, $r(t) and r{}'(t)$ are orthogonal i.e, $r\cdot r{}'=0$

Therefore, we have ,

$< at^2+1,t>\cdot < 2at,1>=0$

$< at^2+1,t>\cdot < 2at,1>=$

$=2a^2t^3+2at+t$

$2a^2t^3+2at+t=0$

take t common in above equation we get,

$t\cdot \left (2a^2t^2+2a+1\right )=0$

⇒ $t=0$ or $2a^2t^2+2a+1=0$

To find the solution for t;

take $2a^2t^2+2a+1=0$

The number $D = b^2 -4ac$ determined from the coefficients of the equation $ax^2 + bx + c = 0.$

The determinant $D=0-4(2a^2)(2a+1)$ $=-8a^2\cdot(2a+1)$

Since, for any positive value of a determinant is negative.

Therefore, there is no solution.

The only solution, we have t=0.

Hence, we have only one points on the parabola $r(t)=< at^2+1,t>$ i.e <1,0>

6 0

3 years ago

At Judith's Swimwear, 75% of the 72 swimsuit styles are bikinis. How many bikini styles are

poizon [28]

Answer:

Step-by-step explanation:

75% of 72 is 54

5 0

2 years ago

Read 2 more answers

Mrs.Kunkleman asks her students to write the Pythagorean theorem in their own words

masha68 [24]

Step-by-step explanation:

The Pythagorean theorem can be understood as a mathematical relationship between the sides of a right triangle that helps to understand geometric problems in real situations, such as finding measurements, calculating areas, etc.

The theorem says that the square of the hypotenuse is equal to the sum of the squares on the other sides.

In a right triangle the hypotenuse is the longest side of the triangle, on the side opposite to its longest angle, and the other two sides will be the sides. So the Pythagorean theorem formula is:

a² = b² + c²

where a represents the hypotenuse and b and c the other sides.

5 0

2 years ago