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Aleks [24]
3 years ago
5

Determine the equation of a horizontal line that passes through (4,7)​

Mathematics
1 answer:
-Dominant- [34]3 years ago
7 0

Answer:the equation of the horizontal line passing through (4,7) is y=7 . Note − The equation of a vertical line is always of the type x=k and hence the equation of the vertical line passing through (4,7) is x=4 .

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Alana spent 21 dollars of her 300 dollar paycheck on a gift . What percent of her paycheck was spent on the gift
Aleksandr-060686 [28]
7% of her paycheck was spent on the gift
4 0
3 years ago
PLEASE HELP ASAP!!
Fed [463]

Answer: The missing statements are,

In first blank:  ∠2≅∠1

In second blank:  AC≅AC

In third blank:  Reflexive

Step-by-step explanation:

Since, The hypotenuse angle theorem states that if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent to each other.

Here, given:

∠D and ∠B are right angles.

DC ║ AB

Prove: Δ ADC ≅ Δ CBA

              Statement                                       Reason

1.∠D and ∠B are right angles       1. Given

2. ∠2 ≅ ∠1                                      2. If lines are parallel then interior angles

                                                        are equal

3. AC≅AC                                      3. Reflexive

4.Δ ADC ≅ Δ CBA                        4. Hypotenuse angle theorem

                                                                     




6 0
3 years ago
If k(x) = x^2 and p(x) = k(x) + n, what is the value of n?
kodGreya [7K]

Answer:

The value of n is -6

Step-by-step explanation:

  • If the function f(x) is translated k units up, then its image is g(x) = f(x) + k
  • If the function f(x) is translated k units down, then its image is g(x) = f(x) - k
  • The vertex form of the quadratic function is f(x) = a(x - h)² + k, where a is the coefficient of x² and (h, k) is the vertex

∵ k(x) = x²

→ Its graph is a parabola with vertex (0, 0)

∴ The vertex of the prabola which represents it is (0, 0)

∵ The given graph is the graph of p(x)

∵ Its vertex is (0, -6)

∴ h = 0 and k = -6

∵ a = 1

→ Substitute them in the form above

∴ p(x) = 1(x - 0)² + -6

∴ p(x) = x² - 6

→ Substitute x² by k(x)

∴ p(x) = k(x) - 6

∵ p(x) = k(x) + n

→ By comparing the two right sides

∴ n = -6

∴ The value of n is -6

Look at the attached figure for more understanding

The red parabola represents k(x)

The blue parabola represents p(x)

8 0
3 years ago
How to simplify the expression (2^2)÷2^10
dimulka [17.4K]
Simplify means solve and to solve we first need to do 2 to the 2nd power which is two *  2 that equal 4 than do 2 to the 10th power that equal 1024 and than we can just do

4 divided by 1024 = 0.0390625 

6 0
3 years ago
The log of x cubed times y squared simplified
tresset_1 [31]

Answer:

log(x^{3}y^{2}) = 3 log x+2 log y

Step-by-step explanation:

Step 1:-

using logarithmic formula log(ab)=log a+log b

so given log(x^{3} y^{2} ) = log (x^{3} )+log(y^{2} )

now simplify

                                              = 3 log x+2 log y

<u>Answer:</u>-

log(x^{3}y^{2})= [tex]3 log x+2 log y

4 0
3 years ago
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