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netineya [11]
2 years ago
7

Make r the subject of the relation y =

rac{x-r}{x+r}" alt="\frac{x-r}{x+r}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Anna71 [15]2 years ago
8 0

y=\dfrac{x-r}{x+r}\\\\y(x+r)=x-r\\xy+ry=x-r\\ry+r=x-xy\\r(y+1)=x-xy\\r=\dfrac{x-xy}{y+1}

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Gabriela has dinner at a cafe and the cost of her meal is \$45.00$45.00dollar sign, 45. 00. Because of the service, she wants to
Sav [38]

Answer:

$51.75

Step-by-step explanation:

percentage of tip times cost of meal= tip

tip plus cost of meal is the formula

15%×$45.00=$6.75

$6.75+$45.00= $51.75

5 0
3 years ago
Quick algebra 1 question for 10 points!
trasher [3.6K]

m = m \\  \frac{97 - 68}{2 - 1}  =  \frac{134 - 97}{3 - 2}  \\ 29 = 37 \\ this \: function \: is \: non \: linear

<h3>Since the only two other options are quadratic and given that it must satisfy one of them i will assume the following general form of the function.</h3>

f(1) = 68 \:  \:  \: f(2) = 97 \:  \:  \:  \: f(3) = 134 \\ f(x) = ax {}^{2}  + bx + c

<h3>Substitute in the first function any point.</h3>

f(1) = 68 \\ 7.8(1) {}^{2}   - 2.9(1) + 67.1 = 68 \\ 7.8 - 2.9 + 67.1 = 68 \\ 72 = 68 \\ this \: is \: false

<h3>I'm pretty sure something is wrong with the given</h3>
7 0
2 years ago
Lamar receives money from his relatives every year on his birthday. Last year, Lamar received $100. This year, he received 29% m
Bond [772]

Answer:

$129

Step-by-step explanation:

Amount received last year = $100

Amount received this year = x

x = 29% more of last year

x = $100 + ($100 * 29%)

x = $100 + ($100 * 29 / 100)

x = $100 + $29

x = $129

5 0
3 years ago
Consider the triangle A(4,0), B(-2,4), C(0,6)<br> What will be the equation of the altitude BM?
katovenus [111]

Answer:

BM: <u>y = (2/3) x + 16/3</u> with segment length of 2.77

Step-by-step explanation:

AC formula: m = (6-0)/(0-4) = -3/2

(y-0)/(x-4) = -3/2       y = (-3/2)x + 6   ... (1)

BM slope: BM⊥ AC   m = 2/3

BM formula: (y-4) / (x- -2) = (y-4) / (x+2) = 2/3

y-4 = 2/3 x + 4/3

<u>y = (2/3) x + 16/3</u>   ... (2)    -2≤x≤0.31

intercept of AC and BM (M) from (1) and (2): (-3/2)x + 6 = (2/3) x + 16/3

(13/6) x = 2/3      x = (2/3) / (13/6) = 4/13 ≈ 0.31

y = (2/3) (4/13) + (16/3) = (8/39) + (208/39) = 216/39 = 72/13 ≈ 5.54

M (4/13 , 72/13) or (0.31 , 5.54)

segment BM = √(4/13 - -2)² + (72/13 - 4)² = √1300/169 = 2.77

4 0
3 years ago
Passes through (-3, 1) and (-2,-1)
Rufina [12.5K]

Answer:

No, Isiah is not correct. The GCF of the coefficients is 1, and there are no common variables among all three terms of the polynomial. 5b4 is a factor of -25a2b5 and -35b4, but not a3. Additionally, a2 is a factor of a3 and -25a2b5, but not -35b4.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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