What are the solutions of the equation? y=-7(x-3)(x+4)

Answer:

-1/2

Step-by-step explanation:

-1/2

Answer:

hope this helps

Step-by-step explanation:

Answer

4.5 : 0.24 = 1.5 :0.08    [dividing by 3]

Answer:

Height between ground and truck = 5.5 feet

Step-by-step explanation:

Given:

Angle of elevation = 30°

Length of the ramp = 11 feet

Find:

Height between ground and truck

Computation:

Length of the ramp = Hypotenuse

Height between ground and truck = Perpendicular

Sin θ = Perpendicular / Hypotenuse

Sin 30 = Height between ground and truck  / Length of the ramp

0.5 = Height between ground and truck  / 11

Height between ground and truck = 0.5 x 11

Height between ground and truck = 5.5 feet

Answer:

[tex] \sqrt{3} \div 2[/tex]

Step-by-step explanation:

there are multiple ways to get to the result. and it took me a little while to figure out your symbolic. I am not sure about the context of your problem, so I try to give you 2 ways.

1. similar triangles.

they have the same angles, and therefore the change factor for their side lengths (to change from one similar triangle to the other) must be the same for all sides.

tan of an angle is the length of the outside tangent touching the circle starting at x=1,y=0 and going up perpendicular all the way until it crosses the line from the center of the circle enclosing the angle.

so, we have one triangle of the corners ABC, where A=(0,0), B=(1,0), C=(1,tan of the angle = sqrt(3)).

and we have a similar triangle ADE, where A=(0,0), D=(cos of the angle=1/2,0), E=(1/2,m).

we know because of the described similarity that the sides BC and DE must have the same ratio as e.g. AB and AD.

AB=1, AD=1/2, so the ratio AD/AB = 1/2.

now, BC=sqrt(3). DE=m and must follow the same ratio as AD/AB. DE/BC=1/2.

=> m/sqrt(3)=1/2 => m=sqrt(3)/2

2. circle equation : x^2 + y^2=r^2

x=1/2, y=m, r=1

(1/2)^2 + m^2 = 1^2 (= 1)

1/4 + m^2 = 1

m^2 = 3/4

m = sqrt(3)/sqrt(4) = sqrt(3)/2

Answer:

160 minutes

Step-by-step explanation:

Find out how many minutes are in a hour. 60 min in one hour. 60 x 2 = 120

120 + 40 = 160

[tex]\sf\implies{x^{2}=7^{2}+7^{2}~~~~~~~~(Pythagoras~theorem)}[/tex]

[tex]\sf\implies{x^{2}=49+49}[/tex]

[tex]\sf\implies{x^{2}=98}[/tex]

[tex]\sf\implies{x={\sqrt{98}}}[/tex]

[tex]\sf\implies{x={\sqrt{49×2}}}[/tex]

[tex]\sf\implies{x={\underline{\boxed{\sf{\pmb{7{\sqrt{2}}}}}}}}[/tex]

using Pythagorean theorem

a²+b²=c² where 'a'&'b' are legs of the right angle triangle and 'c' is the hypotenuse of the right angle triangle

here two legs are given (7,7) and x is the hypotenuse

=>a²+b²=c²

=>7²+7²=x²

=>x²=49+49

=>x²=98

=>√x²=√98

=>x=7√2

I hope it helps have a great day

Answer:

7.8km, so if it was rounding, your answer would be 8

Step-by-step explanation:

Answer:

the answer is no tawag utro the gathered up and I will send you the details in each of the three I don't think so but not in the office today but will be in touch soon to be at work tomorrow at the y I love the

Answer:

Step-by-step explanation:

then multiply

Answer:

the shape would be a triangle

Step-by-step explanation:

any horizontal slice would create a triangle

Answer:

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Step-by-step explanation:

Answer:

About 1.23 standard deviation above the mean

Step-by-step explanation:

From what we have here, we need to calculate the difference between the given value and the mean and divide by the standard deviation

That would be through calculating the z score as follows;

z-score = (x - mean)/SD

where x is the given value

z-score = (87-71)/13 = 1.23

Since the score is bigger than the mean, the correct choice here is that the score is about 1.23 standard deviation above the mean

Answer:

451

Step-by-step explanation:

Answer:

b) 4

Step-by-step explanation:

A =?

B =?

A+B = 6

C=5

D = 3

C+D = 8

(A+B) xB = (C+D)xD

6 X= 8x3

6X = 24

X = 4

Step-by-step explanation:

Divide 180 by 3 = 60

Divide 150 by 2 = 75

The faster vehicle is truck and its speed is 75 mph

Answer:

x-intercept is at (9, 0)

y-intercept is at  (0, 6).

Step-by-step explanation:

The x intercept occurs when y = 0:

2x + 3*0 = 18

2x = 18

x = 9,

y-intercept, when x = 0:

2(0) + 3y = 18

y = 6.

[tex]_____________________________________[/tex]

[tex]_____________________________________[/tex]

Answer:

-16x + 14 4/5

Step-by-step explanation:

Perform the indicated multiplication.  We get:

2x + 14 - 18x + 4/5

Next, combine like terms:  We get:

-16x + 14 4/5

Answer:

2feet, 2feet, 3.6 feet, 3.625 feet

Step-by-step explanation:

Given data

The given lenght area

2 feet, 3.6 feet, 2 feet, and 3.625 feet

Rearrange in increasing order we have

2feet, 2feet, 3.6 feet, 3.625 feet

No 4 is not a factor of 93 :)

let me know if this helped<3

Explanation: a factor is whether or not a number can be multiplied with another number, 4 cannot be multiplied by any number to evenly come out as 93, the way you can check this is by dividing 93 by 4, if it comes out as a whole number with no decimal or remainder than the number is a factor if it has a decimal or remainder it is not a factor

Answer:

No.

Step-by-step explanation:

The first method entails simply listing all factors of 93 and then seeing if 4 is one of them. The factors of 93 are 1, 3, 31, and 93. Looking at the list, you see that 4 is not on the list, and the answer to "is 4 a factor of 93?" is therefore no. For the second and perhaps easier method, we divide 93 by 4 to see if the quotient is a whole number or fractional number. If the quotient is a whole number, then 4 is a factor of 93. If the quotient is a fractional number, then 4 is not a factor of 93. 93 divided by 4 is 23.25 which is a fractional number. Thus, once again, the answer to "Is 4 a factor of 93?" is no.

Answer:

Option (1)

Step-by-step explanation:

By using triangle sum theorem in the given triangle,

(5x - 7)° + (11x - 4)° + (3x + 1)° = 180°

(5x + 11x + 3x) - (7 + 4 - 1) = 180

19x - 10 = 180

19x = 190

x = 10

Therefore, (3x + 1)° = 30 + 1

                                = 30°

(11x - 4)° = 110 - 4

              = 106°

(5x - 7)° = 43°

Therefore, Option (1) will be the correct option.

Answer:

48 cans you multiply 8×6

Step-by-step explanation:

a1 = 27

r = -9/27 = -⅓

the formula :

an = a1. r^(n-1)

= 27. (-⅓)^(n-1)

= 3³(-3`¹)^(n-1)

= 3³(-3)^(1-n)

Answer:

585

Step-by-step explanation:

Answer:

C. 9

Step-by-step explanation:

3n - 18 = 9

3n (- 18 + 18) = 9 + 18

3n = 27

3n/3 = 27/3

n = 9

Answer:

G

Step-by-step explanation:

vertex formula = a(x-h)^2 + k

vertex is (h, k) so (-1, -4) means

y = a(x+1)^2-4

passes through (1, 8) so when x = 1 and y = 8

8 = a(1+1)^2-4 = 4a - 4

4a = 4

a = 1

The volume of the rectangular prism can be found using the 6x6x7 option (A) 6x6x7 is correct.

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape. It is also called a cuboid.

It is given that:

A rectangular prism is given in the picture with dimensions:

As we know, volume can be defined as a three-dimensional space enclosed by an object or thing.

The volume of the rectangular prism is given by:

V = L×W×H

Here, V is the volume of the rectangular prism

L is the length of the rectangular prism

W is the width of the rectangular prism

H is the height of the rectangular prism

From the figure:

L = 6 cm

W = 7 cm

H = 6 cm

V = 6x7x6

or

V = 6x6x7

Thus, the volume of the rectangular prism can be found using the 6x6x7 option (A) 6x6x7 is correct.

Learn more about the rectangular prism here:

brainly.com/question/21308574

#SPJ5

Answer:

$92.60

Step-by-step explanation:

7($5.99) + 7($6.49)=$41.93

$41.93 + $45.43  = $87.36

$87.36 + ($87.36 × 6%=0.06)

$87.36 + (0.06 × $87.36=5.24)

$87.36 + $5.24= $92.60