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Reil [10]
4 years ago
8

What number would you add to both sides of x2 + 7x = 4 to complete the square?

Mathematics
1 answer:
Tems11 [23]4 years ago
8 0

D. (7/2)^2

Then, you would be able to factor it to (x+3.5)^2

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Sketch the graph of each line.<br> 1) y = -x +3<br> toto 4 3 2 1
seropon [69]

Answer:

I can't draw the graph for you here, but the y intercept is 3, and the slope is -1.

Step-by-step explanation:

First you plot a point on the y axis at 0,-3

Then you want to do a rise over run, doing -1,1 until you get enough points to graph the line.

6 0
4 years ago
What is the value of y?
maxonik [38]

Answer:- The value of y=6√3 units.


Explanation:-

Given: Δ TNM is a right triangle, where TN=y , NU=9 units ,UM=3 units, TM=6 units.

Now, we can see that NM=NU+UM

⇒NM=9 units + 3 units=12 units

As Δ TNM is a right triangle , then by Pythagoras theorem

(Hypotenuse)^2=(Perpendicular)^2+(Base)^2\\\Rightarrow12^2=y^2+6^2\\\Rightarrow\ y^2=12^2-6^2\\\Rightarrow\ y^2=144-36=108\\\Rightarrow\ y=\sqrt{108}=6 \sqrt{3}

Thus y=6√3units.

  • Pythagoras theorem states that in a right triangle the square of the longest side is equal to the sum of the squares of the other two sides.
3 0
3 years ago
Read 2 more answers
For (triangle)DEF, you are required to construct the median DG to EF. Which of the following must be performed first?
iren2701 [21]

Answer: C. Bisect DE at G.

Step-by-step explanation:

  • In a triangle, a median is a line segment drawn from a vertex to the midpoint of the opposite side of the vertex.

So, for triangle DEF , if we draw the median DG to the opposite side EF.

Here EF is the opposite side to vertex D.

So, G must be the midpoint of line segment EF.

So , we need to first mark G on EF.

i.e. we need to bisect EF at G.

So first step would be : Bisect EF at G.

8 0
3 years ago
The mean housing price for an area is $135,000 with a standard of $45,000 but is not normally distributed. According to the Cent
kramer

Answer:

A sample size greater than 30

Step-by-step explanation: The central limit theorem proffers the conditions necessary to obtain a normal or bell shaped distribution. It defines normal distribution in terms of mean, standard deviation and sample size. The sample size is a very important factor in determining the shape of a distribution.

Thus with a population having mean and standard deviation stated, in other to make use of or assume normal distribution, the sample size must be large. According tho the central limit theorem, a size of greater than 30 is deemed to be large enough. As the Same size increases, the sample mean converges to the value of the population mean.

7 0
3 years ago
Which values are solutions to the inequality below <br> check all that apply
Iteru [2.4K]

Answer: A,C

Step-by-step explanation: u can count by 3 to get to 9 and 3 is negative 9 is positive they're different but they sure do connect

5 0
3 years ago
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