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Sav [38]
3 years ago
9

Y-intercept of 2x+5y= -20

Mathematics
2 answers:
zaharov [31]3 years ago
8 0

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

Let's convert the given equation into slope - intercept form :

  • 2x + 5y =  - 20

  • 5y =   - 20 - 2x

  • y =  \dfrac{ - 20 - 2x}{5}

  • y =  \dfrac{ - 20}{5}  -  \dfrac{2x}{5}

  • y =  - 4 -  \dfrac{2x}{5}

  • y =  -  \dfrac{2}{5} x - 4

So, here y - intercept (c) = -4

swat323 years ago
4 0

Answer:

for the answer the y intercept is -4

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Can anyone do 4,5 and 6 for me plz
cricket20 [7]

For  question 4, sinA =\frac{a}{c}, cosA= \frac{b}{c}, tan B = \frac{b}{a}, sin J = \frac{j}{l}, cosK = \frac{j}{l}, tanK = \frac{k}{j}.

Question 5. Option a and question 6. Option j

Step-by-step explanation:

Step 1:

The three basic formula needed to solve these questions are:

sin\theta = \frac{oppositeside}{hypotenuse} , cos\theta = \frac{adjacentside}{hypotenuse}, tan\theta= \frac{opposite side}{adjacent side}.

Step 2:

Using the above formula, we solve the following values

sinA = \frac{oppositeside}{hypotenuse}  =\frac{a}{c}.

cosA = \frac{adjacentside}{hypotenuse} = \frac{b}{c}.

tanB= \frac{opposite side}{adjacent side}= \frac{b}{a}.

sinJ = \frac{oppositeside}{hypotenuse} = \frac{j}{l}.

cosK = \frac{adjacentside}{hypotenuse}= \frac{j}{l}.

tanK= \frac{opposite side}{adjacent side}= \frac{k}{j}.

Step 3:

For question 5, The triangle's angle = 23°, opposite side = BC inches and hypotenuse = 4 inches.

sin\theta= \frac{opposite side}{hypotenuse}. sin 23^{\circ}= \frac{BC}{4}, sin23^{\circ} = 0.3907,BC = (0.3907)(4) = 1.5628.

SO BC is 1.5628 inches, rounding this off to the nearest tenth, we get BC = 1.6 inches which is option a.

Step 4:

For question 6, The triangle's angle = 50°, opposite side = QR m the adjacent side = 8.1 m.

tan\theta= \frac{opposite side}{adjacentside}. tan 50^{\circ}=\frac{QR}{8.1}, tan50^{\circ} = 1.1917,QR = (1.1917)(8.1) = 9.65277

SO QR is 9.65277 meters, rounding this off to the nearest tenth, we get QR = 9.7 inches which is option j.

7 0
3 years ago
Points A and B are on opposite sides of a lake. A point C is 105.6 meters from A. The measure of ∠BAC is 70.5°, and the measure
nignag [31]

Answer:

= 70 Meters

Step-by-step explanation:

We can use the sine rule as follows:

Angle ABC=180-(70.5+38.833)

=70.667°

Using the sine rule and sides AB, AC and angles ABC and ACB:

b/Sin B=c/Sin C

Replacing with the values above we get:

AC/Sin ABC= AB/Sin ACB

105.6/Sin 70.667=AB/Sin 38.833

AB=(105.6 Sin 38.833)/Sin 70.667

=70.17 meters

The distance between the two points to the nearest meter is 70 meters

8 0
3 years ago
I need help with 8 i don't understand it i get. idk how to figure out what jm is
Misha Larkins [42]
The segment bisector of line JK would be L since it passes through M
How to find JM is that you would have to solve 3x+15=8x+25 to get x and once you find x you just plug it into the equation for JM, 3x+15
3x+15=8x+25 (subtract 8x on both sides)
-5x+15=25 (subtract 15 on both sides)
-5x=10 (Divide on both sides)
x=-2
Plug that in:
3(-2)+15
-6+15
JM=9
8 0
4 years ago
Explain why partitioning a directed line segment into a ratio of 1:3 is not the same as finding half the length of the directed
zhenek [66]

Answer:

The reason is explained below.

Step-by-step explanation:

Partition means to separate or to divide. A line segment can be partitioned into smaller segments which are compared as ratios.

The ratio of 1:3 shows that the segment will actually be divided into 4 equal sections and finding half the length of the directed line segment implies that the line segment divides in the ratio 1:1 i.e  the segment will actually be divided into 2 equal sections.

Hence, partitioning a directed line segment into a ratio of 1:3 is not the same as finding half the length of the directed line segment

7 0
3 years ago
Read 2 more answers
A grocery store sells American cheese for $3.89 per pound how about how much were one and 1.89 pounds of cheese cost
insens350 [35]
The answer would be 7.3521

6 0
3 years ago
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