Find the x-intercept and y-intercept for 8x-9y=15

Mathematics

1 answer:

Kipish [7]1 year ago

4 0

The x and y-intercept of the equation [8x - 9y = 15] are ( 15/8, 0 ) and ( 0, -5/3 ) respectively.

<h3>What are the x and y-intercept?</h3>

Given the equation;

8x - 9y = 15

First, we find the x-intercepts by simply substituting 0 for y and solve for x.

8x - 9y = 15

8x - 9(0) = 15

8x = 15

Divide both sides by 8

8x/8 = 15/8

x = 15/8

Next, we find the y-intercept by substituting 0 for x and solve for y.

8x - 9y = 15

8(0) - 9y = 15

- 9y = 15

Divide both sides by -9

- 9y/(-9) = 15/(-9)

y = -15/9

y = -5/3

We list the intercepts;

x-intercept: ( 15/8, 0 )

y-intercept: ( 0, -5/3 )

Therefore, the x and y-intercept of the equation [8x - 9y = 15] are ( 15/8, 0 ) and ( 0, -5/3 ) respectively.

Learn more about line intercepts here: brainly.com/question/28161071

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Complete the two-column proof by providing a reason for each of the five statements. Given: Rectangle R U T S Prove: ∠ U S R = ∠

Fantom [35]

Answer:

The two column proof can be presented as follows;

Statement ${}$ Reason

1. RUST is a rectangle ${}$ Given

2. RU = ST ; UT = RS ${}$ Definition of a rectangle

3. ∠STU and ∠SRU are right angles ${}$ Definition of a rectangle

4. ΔURS ≅ ΔSTU ${}$ By SAS rule of congruency

5. ∠USR = ∠SUT ${}$ By CPCTC

Step-by-step explanation:

Given that the side RU, the angle ∠SRU and the side RS of triangle ΔURS are congruent to the side ST the angle ∠STU and the side UT of triangle ΔSTU, then ΔURS is congruent to ΔSTU, by the Side-Angle-Side (SAS) rule of congruency

Therefore, we have that ∠USR ≅ ∠SUT and therefore, it can be shown that ∠USR = ∠SUT using the Congruent Parts of Congruent Triangle are Congruent (CPCTC) postulate.