-2(-5y + 10) simplify the expression

Write the equation of the line parallel to 3x-y=7 that passes through point (-5, -3)

IceJOKER [234]

<h2>Answer:</h2>

$\boxed{y=3x+12}$

<h2>Step-by-step explanation:</h2>

In this problem we know the equation of a line, which is:

$3x-y=7$

We also can write this equation as:

$y=3x-7$

This line has a slope $m=3$ which is also the slope of the line we are looking for because they're parallel. We also have a point $(-5,-3)$ . Therefore, we can write this equation as follows:

$y-y_{0}=m(x-x_{0}) \\ \\ y-(-3)=3(x-(-5)) \\ \\ y+3=3(x+5) \\ \\ y+3=3x+15 \\ \\ \boxed{y=3x+12}$

From the figures below, the line in red is $3x-y=7$ while the line in blue is $y=3x+12$ and this line passes through the point (-5, -3)!

4 0

3 years ago

Read 2 more answers

The desired percentage of Silicon Dioxide (SiO2) in a certain type of aluminous cement is 5.5. To test whether the true average

Reil [10]

Answer:

a) Null hypothesis : H₀ : μ = 5.5

Alternative Hypothesis : H₁ : μ < 5.5

b) The test statistic

|t| = |-3.33| = 3.33

c) P - value lies between in these intervals

0.001 < P < 0.005

Step-by-step explanation:

Step( i ):-

Given data the Population mean 'μ' = 5.5

The small sample size 'n' = 16

The sample mean (x⁻) = 5.25

Given the percentage of SiO2 in a sample is normally distributed with a sigma of 0.3.

Null hypothesis : H₀ : μ = 5.5

Alternative Hypothesis : H₁ : μ < 5.5

Level of significance ∝ = 0.01

Step(ii):-

The test statistic

$t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }$

$t = \frac{5.25 -5.5}{\frac{0.3}{\sqrt{16} } }$

On calculation , we get

t = -3.33

|t| = |-3.33| = 3.33

Step(iii):-

P - value

The degrees of freedom γ = n-1 = 16-1 =15

The calculated value t = 3.33 (check t-table) lies between the 0.001 to 0.005

0.001 < P < 0.005

Condition(i)

P - value < ∝ then reject H₀

Condition(ii)

P - value > ∝ then Accept H₀

we observe that 0.001 < P < 0.005

P- value < 0.01

we rejected H₀

(or)

The tabulated value = 2.60 at 0.01 level of significance with '15' degrees of freedom

The calculated value t = 3.33 > 2.60 at 0.01 level of significance with '15' degrees of freedom

The null hypothesis is rejected

Conclusion:-

Accepted Alternative hypothesis H₁

The Claim that the true average is smaller than 5.5

4 0

3 years ago

How much does 18cm are in mm

77julia77 [94]

Answer:
18 cm = 180 mm
Explanation:
18 cm • 10 cm (in one mm) = 180 mm

6 0

3 years ago

Write the rule for the myth term -4, 20, -100,

Gekata [30.6K]

You would times it by -5

20/-4 = -5

-100/20 = -5

6 0

3 years ago

Once you you know the length of YX, find the length of the lower base, ZX. 14 units 10 + 4 StartRoot 3 EndRoot units 18 units 10

Natalija [7]

Given:

Consider the below figure attached with this equation.

To find:

Length of side ZX.

Solution:

From the figure it is clear that, WXY is a right angled triangle.

According the 30°-60°-90° theorem, the longer leg (opposite to 60° angle) of the right-angled triangle is $\sqrt{3}$ times of shorter leg (opposite to 30° angle).