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garik1379 [7]
2 years ago
9

What is the image of (8, -6) after a reflection over the y=x Submit Answer

Mathematics
1 answer:
scoundrel [369]2 years ago
4 0

\: ( \:  \:  \: 8 \:  \:  \: ,  \:  \:  \:  - 6 \:  \:  \: )

y = x

\: ( \:  \:  \:  - 6 \:  \:  \: , \:  \:  \: 8 \:  \:  \: )

<h2>Just switch x and y</h2>
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The altitude of a triangle is 1cm shorter than the base. If the area of the triangle is 15cm2, calculate the altitude.
WITCHER [35]

Answer:

5 cm

Step-by-step explanation:

We khow that the altitude of this triangle is 1cm shorter than the base

  • Let H be our altitude and B our base and A the area of the triangle
  • A= (B*H)/2 ⇒ 15=(B*H)/2
  • H is 1cm shorter than B ⇒ B=H+1
  • H*(H+1)/2=15 ⇒ H*(H+1)=30⇒ H²+H=30⇒H²+H-30+0

that's a quadratic equation . Let's calculate the dicriminant .

Let Δ be the dicriminant

  • a=1
  • b=1
  • c= -30
  • Δ=b²-4*a*c = 1²-4*1*(-30)=1+4*30=121≥0
  • Δ≥0⇔ that we have two solutions x and y
  • x= (-1-\sqrt{121})/2= (-1-11)/2= -6
  • y= (-1+\sqrt{121})/2= 10/2 = 5

We have a negative value and a positive one

The altitude is a distance so it can't be negative

H= 5cm

6 0
3 years ago
If one face of a cube has a surface area of 5.25 square meters, what is the surface area of the entire cube
natali 33 [55]

Answer:

11.25

Step-by-step explanation:

if a cube has 6 equal sides, you want to multiply 5.25 by 6 to get the surface area for the entire cube.

6 0
3 years ago
What is the next term of the geometric sequence?<br><br> 4/9,-4/3,4,...<br> ​
Wittaler [7]

Answer: 9 is the answer

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Does x+y=1 have an x-intercept of (1,0) and y intercept of (0,1)?
aivan3 [116]

Answer:

Yes

Step-by-step explanation:

To find the y intercept of this formula, you first need to convert it into slope intercept form.

x+y=1

y=-x+1

Here, the slope is negative 1 and the y intercept is (0,1). If you imagine the line with a slope of negative 1, it will indeed cross the x axis at (1,0). Hope this helps!

4 0
3 years ago
(1) The Yearling is one of my favorite novels.(2) It is by Marjorie Kinnan Rawlings. (3) It is about a yearling, which is a youn
weqwewe [10]

Yea u have to do that the most effective is the 10 bc penny is right

7 0
3 years ago
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