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3 years ago

Find the equation of the line that is parallel to 3x-4y=6 and passes through the point (-12,10)

Mathematics

2 answers:

Anastaziya [24]3 years ago

6 0

Answer:

Y = -4/3X +1

Step-by-step explanation:

To turn it into slope-intercept form, first divide by 4. Giving you 3/4X-Y= 1 1/2

Add 3/4X to each side for

Y= 3/4X + 1 1/2

Then, to make a line parallel to it, keep the first part (Y=3/4X) and now you have to find the intersects using the point (-12,10)

To find the intercept write the equation like this

(_)=(3/4)(_)+b (b is the intercept)

Replace the blanks with the points. The -12 goes where X goes.

The 10 goes where Y goes.

(10)=(3/4)(-12)+b

Now, multiply 3/4 and -12 for -36/4 or 9

Now subtract the nine (or X) from the 10 (or Y)

Now you have 1.

The intercept is 1.

Mark me as brainliest if this helps!

horsena [70]3 years ago

5 0

Answer:

y = 3/4x + 19

Explanation:

First we need to write the equation in the form y=mx+c:

3x-4y=6
-4y=-3x+6
y=3/4x-3/2

Because the lines are parallel, we can deduce that the gradients (m) are equal. That means that the gradient of our new equation will also be 3/4.

We will now use the following equation:

y - y1 = m(x - x1)

We will substitute in the new line’s gradient as well as the coordinates we were given:

y - 10 = 3/4(x + 12)

Now we solve this equation into the form y=mx+c:

y - 10 = 3/4x + 9
y = 3/4x + 19

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Given circle P with arc AE=53, arc BA=68 and arc CB=72 match the following angles with their corresponding measurements

11Alexandr11 [23.1K]

From the diagram;
1. Angle 2 = ADB+BDH
= arcAB/2 +90
= 34 +90
= 124°

2. Angle 4= 90°,
Reason ; the angle between a tangent and a radius is equal to 90. A tangent is a line that touches the circumference of a circle once even if prolonged.

3. Angle 5 = 90 -BDC (note the acr subtends twice the angle it subtends on the circumference to the center.
= 90-arc BC/2
= 90-36
= 54°

4. Angle 6 = BFD
= 180-ADB-FBD
= 180-AB/2-DE/2
But DE = 180 -121 = 59
Therefore, BFD = 180 -34-29.5
= 116.5°

5. Angle 1 = 180- BFD (angles on a straight line add up to 180°)
= 180- 116.5
= 63.5°

6. Angle 3 = 180 -(ADB+BFD)
= 180 -(34 +116.5)
= 180- 150.5
= 29.5°
similarly angle 3 = DE/2 = 59/2 = 29.5°

7. Angle 8= 90, because BD is diameter;
angles subtended by a diameter to the circumference is always a right angle (90°)

8.Angle 7 = BE
but BE= AB+AE
= 68+ 53
= 121°

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3 years ago

59:46

grin007 [14]

Answer:

The answer is 11.2 cm

Step-by-step explanation:

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3 years ago

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What is the parallel slope intercept form?

satela [25.4K]

Answer:

slope intercept form is y=mx+b

a line parallel to y=-1/5x-1 is any line with the same slope but different y intercept. for example y=-1/5x+1

Step-by-step explanation:

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2 years ago

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Can you help please ASAP

V125BC [204]

Answer:

Step-by-step explanation:

External angle equals to the sum of opposite internal angles

z - 41° + z - 20° = z + 40°

2z - 61° = z + 40°

2z - z - 61° = 40°

z - 61° = 40

z = 40° + 61°

z = 101°

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3 years ago

The number of events is 29, the number of trials is 298, the claimed population proportion is 0.10, and the significance leve

Nina [5.8K]

Answer:

$z=\frac{0.0973 -0.1}{\sqrt{\frac{0.1(1-0.1)}{298}}}=-0.155$

$p_v =2*P(Z$

And we can use excel to find the p value like this: "=2*NORM.DIST(-0.155;0;1;TRUE)"

So the p value obtained was a very high value and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of interest is not significantly different from 0.1 .

Step-by-step explanation:

1) Data given and notation

n=298 represent the random sample taken

X=29 represent the events claimed

$\hat p=\frac{29}{298}=0.0973$ estimated proportion

$p_o=0.1$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the proportion is 0.1 or no.:

Null hypothesis: $p=0.1$

Alternative hypothesis: $p \neq 0.1$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

3) Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.0973 -0.1}{\sqrt{\frac{0.1(1-0.1)}{298}}}=-0.155$

4) Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The next step would be calculate the p value for this test.

Since is a bilateral test the p value would be:

$p_v =2*P(Z$

And we can use excel to find the p value like this: "=2*NORM.DIST(-0.155;0;1;TRUE)"

We can do the test also in R with the following code:

> prop.test(29,298,p=0.1,alternative = c("two.sided"),conf.level = 1-0.05,correct = FALSE)

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3 years ago