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3 years ago

Identify the slope and the y-intercept of the following equation: y = 5x + 1.

Mathematics

2 answers:

nlexa [21]3 years ago

5 0

Answer:

Step-by-step explanation:

The slope is going to be the one that has the X by it so your slope is going to be 5x. Then your y intercept is going to be the number behind the slope so the y intercept is positive 1.

IrinaVladis [17]3 years ago

4 0

Answer:

slope = 5; y-intercept = 1

Step-by-step explanation:

The equation is in the slope-intercept form,

y = mx + b,

where m = slope, and b = y-intercept.

Your equation is

y = 5x + 1

which when compared to

y = mx + b

shows that m = 5, and b = 1.

Answer: slope = 5; y-intercept = 1

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you make homemade lip balm about 11% of the lip balm is made from beeswax you make 4 2/5 teaspoons of of the lip balm about how

o-na [289]

≈ 1/2 teaspoon
4 2/5 * .11 = .484 teaspoon

7 0

3 years ago

The triangles ABC and DFG are similar and the ratio of their corresponding sides is 6:5. The area of the triangle ABC is greater

Naya [18.7K]

Answer:

The Area of Δ DFG is 175 cm²

The Area of Δ ABC is 252 cm²

Step-by-step explanation:

Given as :

The Δ ABC is similar to the Δ DFG

The area of the triangle ABC is greater than the area of the triangle DFG by 77 cm²

Let The area of Δ DFG = x cm²

So, The area of Δ ABC = ( 77 + x ) cm²

The ratio of corresponding sides of Δ ABC and Δ DEF = 6 : 5

Let The side AB = 6 y

And The side DE = 5 y

Now, from The property of similar Triangles

$\dfrac{area ABC}{area DFG}$ = $\dfrac{AB^{2} }{DE^{2} }$

I.e $\dfrac{77+x}{x}$ = $\dfrac{(6 y)^{2} }{(5y)^{2} }$

Or, $\dfrac{77+x}{x}$ = $\dfrac{36}{25}$

Or, 25 × (77 + x ) = 36 x

Or, 25 × 77 + 25 x = 36 x

Or, 25 × 77 = 36 x - 25 x

Or, 11 x = 25 × 77

∴ x = $\frac{25\times 77}{11}$

I.e x = 175 cm²

So,The Area of Δ DFG = x = 175 cm²

And The Area of Δ ABC = x + 77 = 175 + 77 = 252 cm²

Hence, The Area of Δ DFG is 175 cm²

And The Area of Δ ABC is 252 cm² Answer

4 0

3 years ago

What are the factors of 36 and 90?

Aleksandr [31]

The factors of 36 are 36, 18, 12, 9, 6, 4, 3, 2, 1.
The factors of 90 are 90, 45, 30, 18, 15, 10, 9, 6, 5, 3, 2, 1.

5 0

3 years ago

Read 2 more answers

What is the image of 12,4 after a dilation by a scale factor of 1/4 centered at the origin

nydimaria [60]

Answer:

The coordinates of the image are (3,1)

Step-by-step explanation:

Here, we want to get the coordinates of the image given the pre-image coordinates and the scale factor

What we shall do here is to multiply the scale factor by each it the coordinates since it is centered at the origin

The coordinates of the image is thus;

(1/4 * 12, 1/4 * 4)

= (3,1)

7 0

3 years ago

Calculate JK if LJ = 14, JM = 48, and LM = 50

Sedaia [141]

Answer:

JK = 6.86

Step-by-step explanation:

The parameters given are;

LJ = 14

JM = 48

LM = 50

$tan(\angle JML )= \dfrac{Opposite \ leg \ length}{Adjacent \ leg \ length} = \dfrac{LK}{JM} = \dfrac{14}{48} = \dfrac{7}{24}$

$tan \left( \dfrac{7}{24} \right)= 16.26 ^{\circ }$

∠JML = 16.26°

Given that ∠JML is bisected by KM, we apply the angle bisector theorem which states that a ray that bisects an interior angle of a triangle bisects the opposite (bisected angle facing side) in the proportion of the ration of the other two sides of the triangle.

From the angle bisector theorem, we have;

LM/JM = LK/JK

50/48 = LK/JK................(1)

LK + KJ = 14.....................(2)

From equation (1), we have;

LK = 25/24×JK

25/24×KJ + JK = 14

JK×(25/24 + 1) = 14

JK × 49/24 = 14

JK = 14×24/49 = 48/7. = 6.86.

JK = 6.86

6 0

3 years ago