work out the equation of the line which has a gradient of 3 and passes through the point of (-1,3)

Answer:

a:90 b:90 c:42 d:48 e:132

Step-by-step explanation:

assuming the picture is accurate^^^

a = 90°

b = 90°

c = 42°

d = 48°

e = 132°

Step-by-step explanation:

Here as you can see c and 132° is vertically opposite to each other so it can be name as vertically opposite angle....

e = 132°

Now....

here c and d are supplementary angle...

c + d = 180°

132° + d = 180°

d = 180° - 132°

d = 48°

Now...

b = 90° ( being vertically opposite angle )

Here a and b are supplementary angle ....

a + b = 180°

a = 180° - 90°

a = 90°

Now...

c + 138° = 180° ( supplementary angle )

c = 180° - 138°

c = 42°..

[tex]...[/tex]

Answer:

[tex]- a^{3} b^{2} c^{2} - a^{2} b^{3} c^{2}+ a ^{2} b^{2} c^{3}[/tex]

Step-by-step explanation:

branliest pls

Answer:

(1,1), (2, 1/4), (3, 1/9), (4, 1/16)

Step-by-step explanation:

(1,1/2)(2, 1/4), (3, 1/9), (4, 1/16) are the ordered pairs which could be generated by an exponential function.

A relation is a function if it has only One y-value for each x-value.

An exponential function is a Mathematical function in the form f (x) = aˣ, where “x” is a variable and

a is a constant which is called the base of the function and it should be greater than 0.

We have to find the  set of ordered pairs could be generated by an exponential function.

(1,1/2)(2, 1/4), (3, 1/9), (4, 1/16) represents the exponential function.

y=1/2ˣ

y=2⁻ˣ

Hence, (1,1/2)(2, 1/4), (3, 1/9), (4, 1/16) are the ordered pairs which could be generated by an exponential function.

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Answer:

Step-by-step explanation:

The solution of each question is self-explanatory.

Used properties

Answer:

38°; 142°; 308°

Step-by-step explanation:

belive me

Answer:

Step-by-step explanation:

Answer:

x^2 - 10x + 25

Step-by-step explanation:

(x-5) (x-5)

= x^2-10x+25

Answer:

Step-by-step explanation:

[tex]\text{Formula for the area of a square:}[/tex]

[tex]\text{Given}[/tex]:

[tex]\text{Solving}[/tex]:

Answer:

-1

Step-by-step explanation:

when the points are placed on a graph correctly, you would have to go down 6 and over 6; rise over run would make that -6/6 which is equal to -1

Answer:

7977.5

Step-by-step explanation:

.10 times 79775 =7977.5

Answer:

18.5 about

Step-by-step explanation:

2[tex]\pi[/tex]r

2[tex]\pi[/tex]3

= about 18.5

Answer:

circumference=2πr

2× 22/7×3=18.85

Answer:

20

Step-by-step explanation:

x^2 + 6x - 91 = 0

or, x^2 + 13x - 7x -91=0

or, x(x-13) -7(x-13) =0

or, (x-13)(x-7)= 0

either,

x-13=0 ==> X= 13

x-7=0 ==> X = 7

The sum of all positive values of x such that x² + 6x - 91 = 0 is 20

A quadratic equation is a second-order polynomial equation in a single variable x , ax2+bx+c=0. with a ≠ 0 .

The given equation is x² + 6x - 91 = 0

x²  + 13x - 7x -91=0

Take common terms

x(x-13) -7(x-13) =0

(x-13)(x-7)= 0

x-13=0

x= 13 and

x-7=0

x= 7

The two positive numbers are 13 and 7.

The sum of all positive values is 13 +7 = 20

Hence, the sum of all positive values of x such that x² + 6x - 91 = 0 is 20

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Answer:

36

Step-by-step explanation:

18*2 = 36

Answer

(7*x) -5

Step-by-step explanation:

we should use the formula volume=ab×hsquare

The correct answer is 487.5[tex]in^3[/tex]

The dimension of the prism given are 5in , 5 in , 13in

We need to find the volume of the loaf of the bread

So ,

The volume of rectangular prism is  Length x width x height

V1 = 5*5*13

∴ V1 = 325[tex]in^3[/tex]

The volume of half a right cylinder

V2= ([tex]\frac{1}{2}\pi r^{2}h[/tex])

∴ V2 = ([tex]\frac{1}{2}*(5)^{2}* 13[/tex])

∴ V2= 162.5  [tex]in^3[/tex]

∴ Volume of loaf of bread is V = V1+V2

∴ V = 325+162.5

∴V = 487.5[tex]in^3[/tex]

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Answer:

y = 6

x = -16

Step-by-step explanation:

[tex]\left \{ {{x + 4y = 8} \atop {3x + 8y = 0}} \right.[/tex]

[tex]x + 4y = 8\\ - 4y -4y\\x = 8 - 4y\\substitution\\3(8 - 4y) + 8y = 0\\ 24 - 4y = 0\\-24 -24\\-4y = -24\\\frac{-4x}{-4} = \frac{-24}{-4}\\y = 6 \\plug \\x = 8 - 4y\\x = 8 - 4(6)\\x = -16\\y = 6, x = -16[/tex]

Answer:

Adam's height - Mark's height  =

[10 - 100tan (2.3)]  - [10 - 100tan(2.6) ]   =

≈ [5.96ft   -  5.46 ft]   =

≈ .50  ft    .....    and Adam is ≈  6 inches taller

Step-by-step explanation:

Adam's height - Mark's height  =

[10 - 100tan (2.3)]  - [10 - 100tan(2.6) ]   =

≈ [5.96ft   -  5.46 ft]   =

≈ .50  ft    .....    and Adam is ≈  6 inches taller

Answer:

1/557

Step-by-step explanation:

The scale factor on a map is the ratio of one unit to the distance that unit measures!

Answer:

-x² - 10x -21 = 0

x² +10x +21 = 0

x² + 7x + 3x + 21 = 0

x ( x+7) + 3 (x+7) = 0

(x+3) (x+7) = 0

when (x+3) = 0,

   x = -3

Again,

(x+7) = 0

x = -7

Answer:

7 and 3

Step-by-step explanation:

-b +/- sqrt(b^2+4ac)/2a

10 +/- sqrt(100-84)/2

10 +/- 4/2

7 and 3

The domain is ={-3, -1, 5} for the given function f(x) = 2x  -  3.

The domain of the function is defined as the set of the numbers we are allowed to put in the function while the range is the assumed data put in the function.

Given function:-

f(x)  =  2x   -   3

The domain will be C={-3, -1, 5}

The range can be any random value which we can put in the function.

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Answer:

The probability of a success on each roll of the coin that is filipped by Dion is 0.5.

Probability is the likelihood that a stated event would occur. The odds the event occurs is 1 and the odds that the event does not happen is 0. If a coin is flipped, there is 50% chance of getting either a head or a tail.

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Answer:

its c

Step-by-step explanation:

.5 on edge! just took the test

Answer:

is it 6?! eu n sei a pergunta

Answer:

It would be 60

Step-by-step explanation:

So 3(3*5 + 5) so 3*5 would be 15, 15+5=20, and 20*3=60

This is really simple if you can't figure this out, you might as well go back to 1st grade and below

pls try before asking

Using the slope concept, it is found that the base of the mirror will be 1.75 feet from the wall.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, the vertical change is of 7 ft, with an angle of 76º, and the distance is the horizontal distance, hence:

tan(76º) = 7/d

d = 7/tan(76º)

d = 1.75.

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Answer:

Step-by-step explanation:

Given the parameters of binomial distribution

We need to find the mean μ and the standard deviation σ to calculate required values

1. Find the mean

2. Find the variance

3. Find the standard deviation

Find the minimum usual value

Find the maximum usual value

Answer:

Min:549.04; Max:591.76

Step-by-step explanation:

Answer:

Here is the answer...hope it helps

Answer:

i would say no

Step-by-step explanation:

Between any two distinct integers not necessary to be one integer.

Hope This Helped

Carson needs to select one of the following designs that meet his volume requirement, using the least amount of sheet metal which is the first option. Rectangular prism with dimensions of 8 in, 8 in., and 5 in.

Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:

[tex]V = a\times b \times c \: \: unit^3[/tex]

Carson needs to build a closed container out of sheet metal but needs to minimize the amount of sheet metal used.

The volume of Carson's container needs to be approximately 320 cubic Inches.

Carson needs to select one of the following designs that meets his volume requirement, using the least amount of sheet metal.

If we consider the Rectangular prism with dimensions of 8 inches (in.), 8 in., and 5 in.

Then the volume would be

[tex]V = 8 \times 8 \times 5\\\\V = 320[/tex]

This satisfies the given volume so it could be the correct answer.

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The value of curlF.dS is 72π if the F(x, y, z) = yzi 9xzj exyk, c is the circle x2 y2 = 9, z = 1

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

We have:

[tex]\rm F(x, y, z) = yzi+ 9xzj+ e^{xy}k[/tex]

And curl is x²+y²= 9 and z =1

In the parametric form:

[tex]\rm \vec{r}(t) = 3cost \vec{i}+3sint \vec{j}+\vec{k}[/tex]  0 ≤ t ≤ 2π

First two component represent the circle and last one represent the z =1

Using Stoke's theorem:

[tex]\rm \int\limits\int\limits_S {curl \ \ve{F}.d\vec{S}} = \int\limits_C {\vec{F}} \, .d\vec{r } = \int\limits^{2\pi}_0 {\fec{F}(\vec{r}(t)).\vec(r)t} \, dt[/tex]

Here:

[tex]\rm \vec{F}(\vec{r}(t)) = 3sint \vec{i}+27cost \vec{j}+e^{cost.sint}\vec{k}[/tex]

Now calculate the dot product of curl F and dS we get:

[tex]\rm \int\limits\int\limits_S {curl \ \ve{F}.d\vec{S}} = \int\limits^{2\pi}_0 (-9sin^2t+81cos^2t)dt[/tex]

After solving the above integral, we will get:

[tex]\rm \int\limits\int\limits_S {curl \ \ve{F}.d\vec{S}} = 72\pi[/tex]

Thus, the value of curlF.dS is 72π if the F(x, y, z) = yzi 9xzj exyk, c is the circle x2 y2 = 9, z = 1

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Answer:

16 inches/2 feet

Step-by-step explanation:

We already have our ratio of 8:1, so we can multiply this ratio by any number of out choosing and the ratio will still be the same.