Answer and get brainliest

If x=-7 is a root of the equation x^2+kx+49=0, then k=

aleksley [76]

Answer:

$k=14$

Step-by-step explanation:

Given:

$x^{2}+kx+49 = 0$

$x = -7$

Substitution can be used to find the value of $k$ :

$(-7)^{2}+(-7)k+49 = 0$

$49-7k+49 = 0$

$98 -7k = 0$

$k = 14$

Hope this helps :)

8 0

3 years ago

Please answer this correctly

mr Goodwill [35]

Answer:

4/5 chance

Step-by-step explanation:

There are 4 numbers that fit the rule, 1, 3, 4, 5, since all of them are either odd or greater than 3. There will be a 4/5 chance of picking one.

4 0

3 years ago

Read 2 more answers

3/4 of the shirts in a store are black. 50% of the shirts are white and the remaining 12 shirts are red. How many black masks ar

saul85 [17]

Answer:

There are total 96 shirts out of which 72 are black and 12 are white and 12 are red.

Step-by-step explanation:

Let the total number of shirts be x.

Then 3/4= 0.75 shirts are black

50% or 50/100 =0.5 of 1/4 ( 1-3/4) remaining are white

and 12 are red

x= 0.75x+0.125x+12

x= 0.875x+ 12

x-0.875x= 12

0.125x= 12

x= 12/0.125

x= 96

There are total 96 shirts out of which 3/4 are black

96*0.75= 72 are black and

96*0.25= 24 are left behind out of which 50% are white.

12 are white and 12 are red.

4 0

3 years ago

Please explain your answer. Thank you!!

Ad libitum [116K]

Answer:

(A) 180

Step-by-step explanation:

We have to treat those player selections as independent events, since one doesn't influence the other (the fact you chose Joe as a guard, shouldn't have an influence on who'll pick as center, unless there's bad blood between some players... but that's a whole other story).

So, how many ways to pick 2 guards from a selection of 4? The order doesn't seem to matter here, since they don't specify for example that Joe can only play on the left side). So, it's a pure combination calculation:

$C(4,2) = \frac{4!}{2! * (4 - 2)!} = \frac{24}{2 * 2} = 6$

C(4,2) = 6.

How many ways to pick the 2 forwards from a group of 5? Using the same calculation, we get:

C(5,2) = 10.

And of course, the coach has 3 ways to pick a center player from 3.

Then we multiply the possible ways to pick guards, forwards and center...

6 * 10 * 3 = 180 ways.

7 0

3 years ago

Can someone help me out with this.

pickupchik [31]

The side MK measures 3.3 feet.

Step-by-step explanation:

Step 1:

In the triangle, the angle is 25°, the adjacent side has a length of x feet while the hypotenuse of the triangle measures 3.6 feet. The opposite side of the triangle is not given.

To determine the value of x, we determine the value of the cos of the given triangle.

To calculate the cos of an angle we divide the adjacent side by the hypotenuse of the same triangle.

$cos \theta = \frac{adjacentside}{hypotenuse} .$

Step 2:

The length of the adjacent side = x feet.

The length of the hypotenuse = 3.6 feet.

$cos \theta = \frac{adjacentside}{hypotenuse}, cos 25 = \frac{x}{3.6} , cos 25 = 0.9063.$

$x = 0.9063 (3.6) = 3.2626.$

So the adjacent side of the triangle measures 3.2626 feet. Rounding this off to the nearest tenth, we get that MK measures 3.3 feet.

3 0

3 years ago