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3 years ago

What is the equation of the line with the same slope as the equation x-4y=3 and the y-intercept(0,-8)?

Mathematics

2 answers:

katen-ka-za [31]3 years ago

8 0

Answer:

y = 1/4x -8

Step-by-step explanation:

First find the slope of the line

x-4y =3

Subtract x from each side

x-4y -x = -x+3

-4y = -x+3

Divide each side by -4

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

y = 1/4 x -3/4

This is in the form y= mx+b where the slope is m and the y intercept is b

The slope is 1/4

We want the same slope

y = 1/4x +b

we know the y intercept is -8

y = 1/4x -8

Furkat [3]3 years ago

3 0

M=yx+b (y-intercept = b) (m=slope), X-4y=3 —> root-3,0 vertical intercept- (0, -3/4)

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HELP find angle relationships(picture included)

MariettaO [177]

Answer:

1. <I and <J are vertical angles

2. <G and <H form supplemantary angles

3. <G and <C are corresponding angles

4. <G and <F are alternate interiors

5. <I and <D are alternate exteriors

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2 years ago

In a bag of sweets, 6 are orange and 9 are lime. Jodi chooses a sweet at random, eats it an

Digiron [165]

Answer: $\frac{17}{35}$

Step-by-step explanation:

Given

The bag contains 6 orange and 9 lime sweets

For both sweets of the same flavor, Jodi must either choose orange or lime

No. of ways it can be done is $^6C_1\times^5C_1+^9C_1\times^8C_1$

The total no of ways of selecting two sweets out of 15 is $^{15}C_1\times^{14}C_1$

The probability that both sweets are the same flavor

$P=\dfrac{^6C_1\times^5C_1+^9C_1\times^8C_1}{^{15}C_1\times^{14}C_1}=\frac{102}{210}=\frac{51}{105}=\frac{17}{35}$

3 0

3 years ago

2. Find the center and radius of the circle with equation (x-6)2+ (y + 5)2 = 9.

Romashka-Z-Leto [24]

Answer:

Center (6 , -5) and radius = 3

Step-by-step explanation:

The Standard equation of circle can be written as

(x - a)² + (y - b)² = r²

with center (a , b) and radius = r

Now from given circle equation

(x - 6)² + (y +5)² = 9

so, from here center of circle (6 , -5) and radius = 3

4 0

2 years ago

Complete the ratio table to convert the units of time from hours to weeks or weeks to hours.

strojnjashka [21]

Answer:

Step-by-step explanation:

1176=7 weeks

3 weeks=504

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2 years ago

The n term of a geometric sequence is denoted by Tn and the sum of the first n terms is denoted by Sn.Given T6-T4=5/2 and S5-S3=

Leno4ka [110]

1 step: $S_{5}=T_{1}+T_{2}+T_{3}+T_{4}+T_{5}$ , $S_{3}=T_{1}+T_{2}+T_{3}$ , then
$S_{5}-S_{3}=T_{4}+T_{5}=5$ .

2 step: $T_{n}=T_{1}*q^{n-1}$ , then
$T_{6}=T_{1}*q^{5}$
$T_{5}=T_{1}*q^{4}$
$T_{4}=T_{1}*q^{3}$
$T_{3}=T_{1}*q^{2}$
and $\left \{ {{T_{6}-T_{4}= \frac{5}{2} } \atop {T_{5}+T_{4}=5}} \right.$ will have form $\left \{ {{T_1*q^{5}-T_{1}*q^{3}= \frac{5}{2} } \atop {T_{1}*q^{4}+T_{1}*q^{3}=5} \right.$ .

3 step: Solve this system $\left \{ {{T_1*q^{3}*(q^{2}-1)= \frac{5}{2} } \atop {T_{1}*q^{3}*(q+1)=5} \right.$ and dividing first equation on second we obtain $\frac{q^{2}-1}{q+1}= \frac{ \frac{5}{2} }{5}$ . So, $\frac{(q-1)(q+1)}{q+1} = \frac{1}{2}$ and $q-1= \frac{1}{2}$ , $q= \frac{3}{2}$ - the common ratio.

4 step: Insert $q= \frac{3}{2}$ into equation $T_{1}*q^{3}*(q+1)=5$ and obtain $T_{1}* \frac{27}{8}*( \frac{3}{2}+1 ) =5$ , from where $T_{1}= \frac{16}{27}$ .

5 0

2 years ago