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3 years ago

Question 2 Determine which triangle appears to be acute.

Mathematics

2 answers:

tatuchka [14]3 years ago

4 0

Number two because it has at least one acute angle

Liula [17]3 years ago

3 0

Number 2. Because I am in college

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2x(3x+7) multiply the expressions.

kolbaska11 [484]

Answer:

6x^2 +14x

Step-by-step explanation:

Multiply using the distributive property.

8 0

3 years ago

How many soulutions does the system of equations have x-3y=15. and 3x-9y=45

Irina-Kira [14]

Answer:

<h2>Infinitely many solutions</h2>

Step-by-step explanation:

$\left\{\begin{array}{ccc}x-3y=15\\3x-9y=45\end{array}\right\\\\\text{Divide both sides of the second equation by 3}\\\\\dfrac{3x}{3}-\dfrac{9y}{3}=\dfrac{45}{3}\\\\x-3y=15\\\\\text{We received the same equation as the first.}\\\\\bold{CONCLUSION}\\\\\text{The system of equations has infinitely many solutions.}$

$\left\{\begin{array}{ccc}a_1x+b_1y=c_1\\a_2x+b_2x=c_2\end{array}\right\\\\\text{If}\ a_1=a_2,\ b_2=b_2,\ c_1=c_2,\ \text{then the system of equations}\\\text{ has infinitely many solutions}\\\\\text{If}\ a_1=a_2,\ b_1=b_2,\ c_1\neq c_2,\ \text{then the system of equations}\\\text{has no solutions}\\\\\text{Other the system of equations has one solution.}$

5 0

3 years ago

Curtis rides his bike 9 miles one way then turns around and rides back. On the return trip, his speed is increased 20% because t

k0ka [10]

Answer:

The expression that represents his total time is given by "t = 7.5/s" where s is his speed against the wind.

Step-by-step explanation:

In order to solve this problem we will assign a variable to Curtis speed on the first leg of the trip, this will be called "s". Since the speed on the first part is "s" and the speed on the second part is 20% higher, then the speed on the second part is "1.2s". Each leg of the course is 9 miles long, therefore the time it took to go each way is given by:

time = distance/speed

First part:

t1 = 9/s

Second part:

t2 = 9/1.2s = 7.5/s

The expression for the whole course is the sum of each, so we have:

t = t1 + t2

t = 9/s + 7.5/s

t = (9 + 7.5)/s = (16.5)/s

7 0

3 years ago

A coffee mixture has beans that sell for 0.20 a pound and beans that sell for 0.68. If 120 pounds of beans create a mixture wort

Andrew [12]

X=pounds of coffee bean ($0.20 per pound)
y=pounds of coffee bean ($0.68 per pound )

We can suggest this system of equations:
x+y=120
(0.20x+0.68 y) / (x+y)=0.54 ⇒ (0.2x+0.68y)=0.54(x+y)

We can solve this system by substitution method.
x+y=120 ⇒ y=120-x

0.2x+0.68(120-x)=0.54[x+(120-x)]
0.2x+81.6-0.68x=0.54(120)
-0.48x+81.6=64.8
-0.48x=64.8-81.6
-0.48x=-16.8
x=-16.8/-0.48
x=35

y=120-x=120-35=85

Answer: the coffee mixture has 35 pounds of coffee beans sold to $0.2 a pound, and 85 pounds of coffee beans sold to $0.68 a pound, the solutions is reasonable because the price of a coffee mixture ($0.54 a pound) is greater than $0.2 and smaller than $0.68.

3 0

3 years ago

Read 2 more answers

What is the difference between the following two regression equations? ModifyingAbove y with caret equals b 0 plus b 1 xy=b0+b1

Leona [35]

Answer:

A. The first equation is for sample data; the second equation is for a population.

Step-by-step explanation:

The first equation is y = $b_0 + b_1x$ , this is the equation for sample data as the intercept ( $b_0$ ) and the slope parameter( $b_1$ ) both are calculated then we have got this and these values are not taken as given.

The Second equation is $y = \beta _0 +\beta _1x$ , this is the equation for population data as we can't calculate these $\beta _0$ and $\beta _1$ as we take these values as given and also we do testing for $\beta$ parameter using t test and it is sure that testing is always done on population data not on sample data.

5 0

3 years ago