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2 years ago

Y+1= 2/5(x+4) in standard form

Mathematics

1 answer:

frutty [35]2 years ago

5 0

Answer:

2y - 5y = -3

Step-by-step explanation:

Standard form: Ax + By = c

y + 1 = 2/5(x+4)

y + 1 = 2/5x + 8/5

- 1 -1

y = 2/5x + 3/5

5(y = 2/5x + 3/5)

5y = 2x + 3

-2x -2x

-2x + 5y = 3 (Ax + By = C)

-1(-2x + 5y = 3) (leading coefficient needs to be positive)

2y - 5y = -3

Hope this helps!

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Use Law of Sines or Law of Cosines to solve for the missing parts of each triangle

ella [17]

Answer:

$x = 9.7$

Step-by-step explanation:

Given

The attached triangle

Required

Find x

Using law of sine, we have:

$\frac{a}{sin A} = \frac{b}{Sin B}$

So, we have:

$\frac{x}{sin 32} = \frac{18}{Sin 100}$

Make x the subject

$x = \frac{18 * sin 32}{Sin 100}$

$x = \frac{18 * 0.5299}{0.9848}$

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$x = 9.7$ -- approximated

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3 years ago

What two numbers multiply together to equal -32 and add together to equal positive four

Andru [333]

Because multiply of these two number get you -32, one of these number must be negative.

And because sum of them are positive, positive number must be larger than that negative number (without minus sign)

So list of possible answers are:

-1, 32; -2, 16; -4, 8

And we can see that
-4+8 = 4

So these two numbers are 8 and -4.

7 0

3 years ago

Read 2 more answers

How many ways are there to select a 5-card hand from a regular deck such that the hand contains at least one card from each suit

Snezhnost [94]

Answer:

There are 685464 ways of selecting the 5-card hand

Step-by-step explanation:

Since the hand has 5 cards and there should be at least 1 card for each suit, then there should be 3 suits that appear once in the hand, and one suit that apperas twice.

In order to create a possible hand, first we select the suit that will appear twice. There are 4 possibilities for this. For that suit, we select the 2 cards that appear with the respective suit. Since there are 13 cards for each suit, then we have ${13 \choose 2} = 78$ possibilities. Then we pick one card of all remaining 3 suits. We have 13 ways to pick a card in each case.

This gives us a total of 4*78*13³ = 685464 possibilities to select the hand.

6 0

3 years ago

Geometry help please! Match the reasons with the statements.

SSSSS [86.1K]

Given:

∠PRS and ∠VUW are supplementary.

To prove:

Line TV || Line QS

Solution:

Step 1: Given

∠PRS and ∠VUW are supplementary.

Step 2: By the definition of supplementary angles

$m\angle {PRS}+m\angle {VUW}=180^{\circ}$

Step 3: Angles forming a linear pair sum to 180°

$m\angle {PRS}+m\angle {SRU}=180^{\circ}$

Step 4: By transitive property of equality

step 2 = step 3

$m\angle {PRS}+m\angle {VUW}=m\angle {PRS}+m\angle {SRU}$

Step 5: By algebra cancel the common terms in both side.

${m} \angle {VUW}={m} \angle{SRU}$

Step 6: By converse of corresponding angles postulate

Line TV || Line QS

Hence proved.

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4 years ago

What is the domain of the function graphed ?

ankoles [38]

Remember that the domain is all possible x values.

Here, the highest x value is 2 and the lowest is -4, which makes A and D incorrect.
x can also be anything between 2 and -4, so B is also incorrect.

That leaves C our answer.

4 0

3 years ago