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3 years ago

Write the equation of the line that goes through (9/2,1) and (-7/2,7) then graph.

Mathematics

1 answer:

lakkis [162]3 years ago

4 0

Sorry for the confusion, redoing my answer for you!

Using the points (9/2,1), (-7/2,7)

m=y2−y1 over x2−x1

Substitute in the values of x and y into the equation to find the slope.

m=7−(1) over −72−(92)

simplify

m=−3/4

Use the slope −3/4 and a given point (9/2,1) to substitute for x1 and y1 in the point-slope form y−y1=m(x−x1)

y−(1)=−3/4⋅(x−(9/2))

Rewrite in y=mx+b

solve for y

y=−3x/4+35/8

ill use desmos to graph (y=−3x/4+35/8)

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Find the algebra 5xy(2x+3xy)

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Answer 5

Step-by-step explanation:

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2 years ago

Please answer 7X-20-90

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First, you need to collect the like terms; 7x + (-20 - 90). Next simplify; 7x - 110
answer; 7x - 110

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3 years ago

An integer is 5 more than 4 times another. If the product of the two integers is 51, then find the integers.

Yakvenalex [24]

Answer:

3 and 17 are required integers

Step-by-step explanation:

Let one integer be x
And other integer be y

x = 4y + 5

xy = 51

According to question :

➞ (4y + 5)y = 51

➞ 4y² + 5y = 51

➞ 4y² + 5y - 51 = 0

➞ 4y² + 17y - 12y - 51 = 0

➞ y (4y + 17) - 3(4y + 17) = 0

➞ (y - 3)(4y - 17) = 0

➞ y - 3 = 0

➞ y = 3

Hence,

➞ y = 3

➞ x = 4y + 5

➞ x = 4 (3) + 5

➞ x = 12 + 5

➞ x = 17

∴ The required integers are 3 and 17

7 0

2 years ago

Even though the population standard deviation is unknown, an investigator uses z rather than the more appropriate t to test a hy

Marta_Voda [28]

Answer:

a) The level of significance is large because here z is not appropriate.

b) The true critical value is larger than z because the level of significance is large.

Step-by-step explanation:

a) Based on the question under consideration, the true level of significance is larger than .05 level of significance is large, the reason being that z is not appropriate in this case.

b) The true critical value is larger than that of the critical z, this is because the level of significance is large.

t* in P(T > t*) = 0.975 is more than z* = 1.96 in P(z> z*) =0.975

3 0

3 years ago

A sphere of radius 2x m has an area of 152.4 m2 and a volume of 360.9 m3. How much will the area and volume of another sphere

VladimirAG [237]

Answer:

$V = 1218.0375m^{3}$

$A = 342.9m^{2}$

Step-by-step explanation:

Area:

$A =$ π $r^{2}$

$152.4 =$ π $(2x)^{2}$ *Square 2x*

$152.4 =$ π $4x^{2}$ *Divide by π*

$48.510 = 4x^{2}$ *Divide by 4*

$12.128 = x^{2}$ *Square root*

$\sqrt{12.128} = x$ *Solve*

x ≈ 3.482

Now take the same equation but replace 2x with 3x

$A =$ π $r^{2}\\$

Now replace x with 3.482 and solve for area.

$A = 342.9m^{2\\}$

Volume:

$V = \frac{4}{3}$ π $r^{3}$ *Insert variables*

$360.9 = \frac{4}{3}$ π $(2x)^{3}$ *Cube 2x*

$360.9 = \frac{4}{3}$ π $(8x^{3})$ *Multiply $\frac{3}{4}$ on both sides*

$270.675 =$ π $(8x^{3})$ *Divide by π*

$86.159 = 8x^{3}$ *Divide by 8*

$10.770 = x^{3}$ *Cube root*

$\sqrt[3]{10.770} = x$ *Solve*

x ≈ 2.208

Now take the same equation but replace 2x with 3x

$V = \frac{4}{3}$ π $(3x)^{3}$

Now replace x with 2.208 and solve for volume.

$V = 1218.0375m^{3}$

4 0

3 years ago