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olasank [31]
3 years ago
11

Can someone help me please? (Math)

Mathematics
1 answer:
vesna_86 [32]3 years ago
5 0
Let   y = \frac{x}{2}  +  3   be line₁
And the perpendicular angle be line₂


If a line is perpendicular to another, then the product of their gradients is -1, which means that the gradient of line₂ would be the negative reciprocal of line₁

Based on that, if the gradient of line₁ is \frac{1}{2}
                   then, the gradient of line₂ is - 2.

Now by using the point-slope form  y - y₁ = m ( x - x₁)

If line₂ passes through the line (1,8) and have gradient -2,
then by exploiting the point-slope form  y - 8 = -2 (x - 1)

∴ equation of the ine perpendicular to y = \frac{x}{2}  +  3   would  be y = -2x + 10

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Which piece of additional information can be used to prove that △rst ~ △vut? rt = st 3st = ut ∠r ≅ ∠v ∠v ≅ ∠u
Sunny_sXe [5.5K]

The option third ∠R ≅ ∠V is correct because line segment RS and UV are parallel which is crossed by a transversal RV.

<h3>What is the similarity law for triangles?</h3>

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have given two triangles:

Triangle RST and Triangle VUT

AS we can see Line segment RS and UV are parallel.

Which is crossed by a transversal RV.

The angle SRV = Angle RVU

Thus, the option third ∠R ≅ ∠V is correct because line segment RS and UV are parallel which is crossed by a transversal RV.

Learn more about the similarity of triangles here:

brainly.com/question/8045819

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3 0
1 year ago
Pls, help me pls pls pls
rjkz [21]

Answer:

14.4

Step-by-step explanation:

you can do 12*1.2= 14.4

becuase they didnt say equal to or less than 24 and they also didnt say equal to or  greater than 12 hope this helps

8 0
3 years ago
Part of the graph of the function f(x) = (x – 1)(x + 7) is shown below.Which statements about the function are true? Select thre
sertanlavr [38]

The statements about the function that are true are

  • The vertex of the function is at (–3,–16).
  • The graph is increasing on the interval x > –3.
  • The graph is positive only on the intervals where x < –7 and where x > 1.

<h3>How to interpret the graph?</h3>

The equation of the graph is given as

f(x) = (x - 1)(x + 7)

The graph of the function is added as an attachment

On the graph, we have

Vertex = (-3, -16)

This is so because the graph has a minimum point of (-3, -16)

Also, the graph crosses the x-axis at x = 1 and x = -7

This means that the graph is positive at x >1 and x >-7

Because the vertex is a minimum, the graph is increasing at the left of its symmetry i.e. x > -3

Read more about quadratic functions at

brainly.com/question/14933288

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7 0
1 year ago
The question is the link.
d1i1m1o1n [39]

Answer + explanation

30inches =

4 - inches =

1 1/2 - inch = 3/2 - inch

3/4 x (inch) = 3inch/4

7 0
3 years ago
Which one are these paired to the solution
Soloha48 [4]

Answer:

Option b and d.

Step-by-step explanation:

Given equation : -5x + 4y > -7

Putting the values of x and y one by one in the options,

a) Putting x as 6 and y as 4.

=> -5(6) + 4(4) > -7

=> -30 + 16 > -7

=> -14 > -7

This doesn't satisfy the inequality, hence this couldn't be the ordered pair.

Similarly,

b) Putting x as 5 and y as 5.

=> -5(5) + 4(5) > -7

=> -25 + 20 > -7

=> -5 > -7

This satisfies the inequality, hence this is the ordered pair.

c) Putting x as 3 and y as 2.

=> -5(3) + 4(2) > -7

=> -15 + 8 > -7

=> -7 > -7

This doesn't satisfy the inequality, hence this couldn't be the ordered pair.

d) Putting x as -2 and y as -4.

=> -5(-2) + 4(-4) > -7

=> 10 - 16 > -7

=> -6 > -7

This satisfies the inequality, hence this is the ordered pair.

<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em> </em><em>:</em><em>)</em>

7 0
2 years ago
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