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Anna [14]
2 years ago
14

Write the standard form of the line that contains a slope -3/8 and passes through the point (5, -4).

Mathematics
1 answer:
Kipish [7]2 years ago
7 0

Answer:

y+3/8x=-17/8

Step-by-step explanation:

y=mx+b

y=-3/8x+b

-4=-3/8(5)+b

-4=-15/8+b

-32/8+15/8=b

-17/8=b

y=-3/8x-17/8

change to standard form where x and y are on one side of the equation

y+3/8x=-17/8

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Can you answer these please many thanks
givi [52]

Given: (a) 2(x+3)=2x+6 and (b) 4(y-3)=4y-12.

To find: The expanded form of the given expressions.

(c) 4(m+n)=4m+4n       (using a(b+c)=ab+ac)

(d) 3(5-q)=15-3q           (using a(b-c)=ab-ac)

(e) 5(2c+1)=10c+5          (using a(b+c)=ab+ac)

(f) 3(2x-5)=6x-15          (using a(b-c)=ab-ac)

(g) 7(4b-1)=28b-7          (using a(b-c)=ab-ac)

(h) 3(2x+y-5)=3((2x+y)-5)

⇒3(2x+y-5)=3(2x+y)-15         (using a(b-c)=ab-ac)

⇒3(2x+y-5)=6x+3y-15            (using a(b+c)=ab+ac)

(i) 2(6a-4b+3)=2((6a-4b)+3)

⇒2(6a-4b+3)=2(6a-4b)+6         (using a(b+c)=ab+ac)

⇒2(6a-4b+3)=12a-8b+6            (using a(b-c)=ab-ac)

(j)6(m+n+p)=6((m+n)+p)

⇒ 6(m+n+p)=6(m+n)+6p           (using a(b+c)=ab+ac)

⇒ 6(m+n+p)=6m+6n+6p            (using a(b+c)=ab+ac)

(k) y(y+2)=y^2+2y          (using a(b+c)=ab+ac)

(l) g(g-3)=g^2-3g           (using a(b-c)=ab-ac)

(m) n(4-n)=4n-n^2        (using a(b-c)=ab-ac)

(n) a(b+c)=ab+ac           (using a(b+c)=ab+ac)

(o) s(3s-4)=3s^2-4s        (using a(b-c)=ab-ac)

(p) 2x(x+5)=2x^2+10x     (using a(b+c)=ab+ac)

(q) 4y(x-3)=4xy-12y      (using a(b-c)=ab-ac)

(r) 5a(2b-5)=10ab-25a     (using a(b-c)=ab-ac)

(s) 4a(3b+2c)=12ab+8ac    (using a(b+c)=ab+ac)

(t) 5p(4p-5q)=20p^2-25pq    (using a(b-c)=ab-ac)

6 0
3 years ago
Which of the following equals 3x2−10x−83x2-10x-8 when factored completely? 
xeze [42]
If it was typo and the original equation is 3x^2 - 10x - 8, then the answer would be (<span><span>3x+2)(x-4), but if not then IDK.

Hope this helps!</span></span>
4 0
3 years ago
cybil flips a coin and rolls a fair number cube at the same time. What is the probability that she will toss tails and roll a nu
IRISSAK [1]

Answer:

\frac{1}{6}

Step-by-step explanation:

Flipping a coin and rolling a number cube are both independent events. Independent events do not rely on the outcome of any previous events.  This means that whatever you flip on the coin will have no effect on whatever you roll on the number cube and each flip of the coin or roll of the cube has the same probability as the flip or roll before.  

The probability of getting tails on a coin toss is: \frac{1}{2}

The probability of getting a number less than 3 (so 1 or 2) on a number cube is: \frac{1}{3}

Since we are combining these events, we need to multiply the fractions together to get our overall probability:

\frac{1}{2}*\frac{1}{3}=\frac{1}{6}

8 0
3 years ago
Set up, but do not evaluate, the integral that represents the length of the curve given by
netineya [11]

Answer:

L = ∫₀²ᵖⁱ √((1 − sin t)² + (1 − cos t)²) dt

Step-by-step explanation:

Arc length of a parametric curve is:

L = ∫ₐᵇ √((dx/dt)² + (dy/dt)²) dt

x = t + cos t, dx/dt = 1 − sin t

y = t − sin t, dy/dt = 1 − cos t

L = ∫₀²ᵖⁱ √((1 − sin t)² + (1 − cos t)²) dt

Or, if you wish to simplify:

L = ∫₀²ᵖⁱ √(1 − 2 sin t + sin²t + 1 − 2 cos t + cos²t) dt

L = ∫₀²ᵖⁱ √(3 − 2 sin t − 2 cos t) dt

7 0
3 years ago
Write another name for &lt; 5​
victus00 [196]

Answer:

less than 5

x < 5

6 0
3 years ago
Read 2 more answers
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