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ankoles [38]
3 years ago
15

Slope=4/3 y-intercept=-5

Mathematics
2 answers:
Flura [38]3 years ago
4 0

Answer:

The equation of the line in point-slope form is:

y+5=\:\frac{4}{3}\left(x-0\right)

The graph is also attached below.

Step-by-step explanation:

Given

  • Slope m = 4/3
  • y-intercept = -5

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

As we are given the y-intercept = -5

Thus, the point (0, -5) represents the y-intercept.

Point slope form:

y-y_1=m\left(x-x_1\right)

where

  • m is the slope of the line
  • (x₁, y₁) is the point

In our case,

  • m = 4/3
  • (x₁, y₁) = (0, -5)

substituting m = 4/3 and the point (0, -5) in the point-slope form

y-y_1=m\left(x-x_1\right)

y\:-\:\left(-5\right)\:=\:\frac{4}{3}\:\left(x\:-\:0\right)

y+5=\:\frac{4}{3}\left(x-0\right)

Therefore, the equation of the line in point-slope form is:

y+5=\:\frac{4}{3}\left(x-0\right)

The graph is also attached below.  

MrRissso [65]3 years ago
3 0

Answer: 4/3 - 5

I assume you want to know the numbers in slope intercept form so... yeah

Step-by-step explanation

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.. Discuss the nature of the root of equation x2 + 2x + 3 = 0​
Mariana [72]

Answer:

  • No real roots

Step-by-step explanation:

Given equation:

  • x² + 2x + 3 = 0

On comparing the equation by ax² + bx + x = 0, We get: a = 1, b = 2 and c = 3

To Find the nature of the roots of the equation firstly we need to find the discriminant of the equation. The expression b²- 4ac is called the discriminant.

~

  • Two Distinct real roots, if b² - 4ac > 0
  • Two equal real roots, if b² - 4ac = 0
  • No real roots, if b² - 4ac < 0

\\ \: \: \dashrightarrow \: \: \: \sf  {b}^{2} - 4ac = 0 \\ \\ \\\: \: \dashrightarrow \: \: \: \sf (2)² - 4 \times 1 \times 3 = 0 \\  \\  \\ \: \: \dashrightarrow \: \: \: \sf 4 - 4 \times 1 \times 3 = 0  \\  \\  \\ \: \: \dashrightarrow \: \: \: \sf 4 - 12 = 0 \\  \\  \\ \: \: \dashrightarrow \: \: \: \sf {\underline{\boxed{\sf{\purple{  -8 > 0}}}}} \\  \\

The discriminant is smaller than 0.

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6 0
2 years ago
19
Taya2010 [7]

The measure of each angles  are m∠F = 46°, m∠D = 32°, m∠E = 102°.

<h3>What is angle?</h3>

An angle in plane geometry is a shape created by two rays or lines that have a common endpoint. The Latin word "angulus," which means "corner," is where the word "angle" comes from. The common endpoint of two rays is known as the vertex, and the two rays are known as sides of an angle.

The angle that lies in the plane need not be in Euclidean space. Angles are referred to as dihedral angles if they are produced by the intersection of two planes in a space other than Euclidean. The symbol "" is used to represent an angle.

We have given that Δ DEF has

m∠D = m∠F - 14

And

m∠E = 10 + 2(m∠F)

We know that that sum of all angels in a triangle is 180°, So

m∠D + m∠E  +  m∠F = 180°

Substituting the values we get

(m∠F - 14) + (10 + 2(m∠F)) + m∠F = 180°

m∠F - 14 + 10 + 2m∠F +m∠F

4(m∠F) - 4 = 180

4(m∠F) = 180 + 4

4(m∠F)  = 184

(m∠F)  = 46°

m∠D = 46° - 14

m∠D = 32°

m∠E = 10 + 2(m∠F)

m∠E = 10 + 2( 46°)

m∠E = 10 + 92°

m∠E = 102°

Learn more about angle

brainly.com/question/25716982

#SPJ9

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