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REY [17]
2 years ago
13

5. The area of a rectangular garden is 75 feet. If the length of the base is 15 feet, what is the

Mathematics
1 answer:
Lady_Fox [76]2 years ago
3 0
The height is 5 I believe
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In rectangle PQRS, PR = 18x – 28 and QS = x + 380. Find the value of x and the length of each diagonal.
Flauer [41]

Diagonals of a rectangle are congruent.


18x - 28 = x + 380


Solving for x, I get 17.


So, x = 17.


PR = 18x - 28


PR = 18(17) - 28


PR = 278


QS = x + 380


QS = 17 + 380


QS = 397

5 0
2 years ago
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A dance studio teaches students a contemporary dance form. It is observed that the probability of students from this studio beco
Helen [10]
\mathbb P(X=75)=\dbinom{120}{75}0.69^{75}(1-0.69)^{120-75}\approx0.0239

or about a 2.4% chance.
5 0
3 years ago
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Can someone please help me?
Pachacha [2.7K]

Hello there!

So, remember that m = the slope, and slope intercept form is represented as y = mx + b. To find the y intercept, place the values of x, y, and the slope into the equation.

The first step, ____ = (____)____ + b should look like 3 = (2/5)10 + b once you plug the values for your x and y values and slope.

The second step, ___ = ____ + b should look like 3 = 4 + b since you should multiply 2/5 x 10.

The final step, -1 = b should look like  since you subtracted 4 from both sides of the equation.

Y = 2/5x - 1 is your final equation. I hope this helps, have a great rest of your day!

7 0
2 years ago
6x^2-4xy-15xy+10y^2 factor by grouping
PtichkaEL [24]
4 answers · Mathematics
Best Answer
We will need to split the middle term and use the grouping method. To do this multiply the coefficient of the first term (6) against the coefficient of the last term (10):

6 * 10 = 60
Factors of 60 = +-(1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60)

From the list of factors find two numbers that when added together give -19 and when multiplied together give 60. -15 and -4 added together give -19 and multiplied together give 60 so split the middle term by rewriting these values back into the expression:

6x^2 - 15xy - 4xy + 10y^2

Now use the grouping method, take out the highest common factor between the two sets of terms:

3x(2x - 5y) - 2y(2x - 5y)

Group the outside terms:

(3x - 2y)(2x - 5y)


Answers
6 = -3*-2
10 = 5*2
5*3+2*2=19
thus
(2y-3x)(5y-2x)
8 0
3 years ago
D+(-9)=-5<br> i need to solve for d. thank u
goldfiish [28.3K]

Answer:

4

Step-by-step explanation:

d - 9 = -5

Add 9 to -5, and you will get 4.

4 - 9 = -5

8 0
2 years ago
Read 2 more answers
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