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Darina [25.2K]
3 years ago
6

What is the distance between the points (2,10) and (-6, 4) on the coordinate

Mathematics
1 answer:
stellarik [79]3 years ago
5 0

Answer:

The distance between the given points (2,10) and (-6, 4) on the coordinate  plane is 10units

Therefore distance s=10 units

Step-by-step explanation:

Given points are (2,10) and (-6, 4) on the coordinate plane

To distance between the given points :

The distance formula is s=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} units

Let (x_1,y_1) ,(x_2,y_2) be the given points (2,10) and (-6, 4) respectively

Now substituting the values in the distance formula  we get

s=\sqrt{(-6-2)^2+(4-10)^2}

=\sqrt{(-8)^2+(-6)^2}

=\sqrt{8^2+6^2}

=\sqrt{64+36}

=\sqrt{100}

=10

Therefore s=10 units

The distance between the given points (2,10) and (-6, 4) on the coordinate plane is 10units

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Which of the following linear equations represents the data chart?
BlackZzzverrR [31]

Answer: y = -x + 7

Step-by-step explanation:

The slope is \frac{5-6}{2-1}=-1, so we know the equation is of the form y=-x+b.

Substituting in the coordinates (1,6) to find b,

6=-1+b\\\\b=7

Thus, the equation is y = -x + 7

4 0
2 years ago
In a study of parents' perceptions of their children's size, researchers asked parents to estimate their youngest child's height
tatyana61 [14]

Answer:

Test statistic t=6.505

P-value=0

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that parents tend to underestimate their youngest child's size.

Then, the null and alternative hypothesis are:

H_0: \mu=0\\\\H_a:\mu> 0

The significance level is assumed to be 0.05.

The sample has a size n=39.

The sample mean is M=7.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=7.2.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{7.2}{\sqrt{39}}=1.153

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{7.5-0}{1.153}=\dfrac{7.5}{1.153}=6.505

The degrees of freedom for this sample size are:

df=n-1=39-1=38

This test is a right-tailed test, with 38 degrees of freedom and t=6.505, so the P-value for this test is calculated as (using a t-table):

P-value=P(t>6.505)=0

As the P-value (0) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is  enough evidence to support the claim that parents tend to underestimate their youngest child's size.

5 0
3 years ago
Find the volume and surface area of a sphere with radius 1 yards. Round your answer to two decimal places.
olga55 [171]

Answer:

Volume of the sphere up to two decimal places= 4.19 cubic yards

Surface area of the sphere up to two decimal places  =12.56 square yards

Step-by-step explanation:

Given:

The radius of the sphere= 1 yard

Volume of a Sphere:

                        \frac{4}{3}* \pi *r^3                                                         :\pi =\frac{22}{7} =3.14

               =\frac{4}{3}*3.14*1*1*1

               =4.187 cubic yards

Volume of the sphere up to two decimal places= 4.19 cubic yards

Surface area of the sphere= 4*\pi* r^2

                                           =4*3.14*1*1

Surface area of the sphere up to two decimal places  =12.56 square yards

8 0
3 years ago
Write an addition equation that can help you find 9-3
Alborosie
X+3=9
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7 0
3 years ago
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If a rectangle JKLM, JK is equal to 12 feet, and LN is equal to 6.5 feet, find KM
Rus_ich [418]
12.5 feet is the answer.


8 0
3 years ago
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