The product of two consecutive integers is 420. An equation is written in standard form to solve for the smaller integer by factoring.

What is the constant of the quadratic expression in this equation?

x2 + x +
= 0

Answer:

200+15x

Step-by-step explanation:

he will need to save at least 200+15x

y= amount to purchase the computer

x=hours worked for $15 per hour

$200 -money already saved

y ≤ 200+15x

Answer:

use the arthmetic mean

Step-by-step explanation:

Answer:

x could be 0 or it could be 5/2

Step-by-step explanation:

Answer:

x= 5/2

Step-by-step explanation:

4x^2 + 4x - 14x = 0

subtract 4x from 14x because they are like terms

4x^2 - 10x=0

4x^2 = 0 + 10x

4x^2 = 10x

x^2/x = 10/4

x=10/4

x=5/2

Answer:

B. 864 mm³

Step-by-step explanation:

Volume = area base x height

Area base = 48

Height = 18

Multiply:

48 x 18 = 864

Units are mm³

Answer = 864 mm³

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-Chetan K

The volume of the prism is 864 cubic units.

To calculate the volume of a prism, we use the formula: Volume = Area of Base x Height. In this case, the area of the base is given as 48 square units, and the height is given as 18 units.

To find the volume, we multiply the area of the base by the height:

Volume = 48 x 18 = 864 cubic units.

Therefore, the volume of the prism is 864 cubic units. Since the base area is given in square units and the height is given in units, the volume is expressed in cubic units. In this case, the units are mm³ (cubic millimeters).

Thus, the proper calculation yields a volume of 864 mm³.

To know more about volume:

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Answer:

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Step-by-step explanation:   6  26  18  13

The two outside angles are congruent.  The two inside angles are supplemental thus they are equal.  The last two angles the high one and the lower one must sum to 180° in their respective triangles so they are equal since their similar angles are equal.

find x

4 is to x as 5 is to 7.5

   4/x = 5/7.5      solve for x

   4 × 7.5 / 5  = x

    30 / 5  =  x

       6 = x

Answer:

Volume of soda in soda can = 43.1 inches³ (Approx.)

Step-by-step explanation:

Given:

Height of soda can = 7 inches

Diameter of soda can = 2.8 inches

Find:

Volume of soda in soda can

Computation:

Radius of soda can = Diameter of soda can / 2

Radius of soda can = 2.8 / 2

Radius of soda can = 1.4 inches

Volume of soda in soda can = Volume of cylinder

Volume of soda in soda can = πr²h

Volume of soda in soda can = (3.14)(1.4)²(7)

Volume of soda in soda can = (3.14)(1.96)(7)

Volume of soda in soda can = 43.1 inches³ (Approx.)

The answer is 2 ez.

Answer:

2

Step-by-step explanation:

hope i helped :))

Answer:

Step-by-step explanation:

(0,-3.5)

Answer:

(0, -3.5)

Step-by-step explanation:

The x coordinate is first

We stay on the y axis so the x coordinate is 0

The y coordinate is second

We go down 3 1/2 units so the y coordinate is -3 1/2

(0, -3.5)

Answer:

_ = 5

Step-by-step explanation:

Answer:

2 StartRoot 14 EndRoot

Step-by-step explanation:

To solve for q, we apply the leg rule theorem :

The hypotenus = 10 + 4 = 14

Leg 1 = q

Part1 = 4

According to the leg rule theorem :

Hypotenus / leg 1 = leg 1 / part 1

14 / q = q / 4

Cross multiply :

q * q = 14 * 4

q² = 56

q = √56

√56 = √4 * √14 = 2√14

Answer:

B

Step-by-step explanation:

edge 2021

Answer:

[0, ∞)

0≤y<∞

Step-by-step explanation:

The range is the possible values that y can take

y  goes from 0 to positive infinity

[0, ∞)

0≤y<∞

Answer:

[tex]y\geq 0\\[/tex]

y ∈ [0, ∞)

Step-by-step explanation:

The range of a function is the set of all possible output values. In this case, one can see that the graph never goes below the value (0), therefore the range is y will always be greater than or equal to (0).

Step-by-step explanation:

you need to find:

uw:

uv:

vw= 8(already known)

Measure of W= 35

Measure of u= 90

measure of v= 180-90+35= 55

finding uv:

sin(35)= uv/8

0.57=uv/8

4.56=uv

finding uw:

sin(55)= uw/8

0.82= uw/8

6.56= uw

Answer:

Prime numbers less than 20 are 2, 3, 5, 7, 11, 13, 17 and 19

Step-by-step explanation:

Answer:

54.3°

Step-by-step explanation:

sinθ=opposite/hypotenuse

sinθ=26/32

sinθ=0.8125

θ=54.3°

Answer:

7.391

Step-by-step explanation:

Find 10% of 8.19

8.19*10%

8.19 *.10

.819

Subtract this from 8.19

8.19-.819

7.391

Set up a ratio:

16/12 = 28/?

Cross multiply:

16? = 12 x 28

16? = 336

Divide both sides by 16:

? = 336/16

? = 21

Answer:

BC

Step-by-step explanation:

BECAUSE BC IT'S EQUAL TO EF

Answer:

B. BC

Step-by-step explanation:

By SSS rule in ∆ ABC and DEF,

Answer:

using Pythagoras theorem

bc²=ac²-ab²

bc²=100-64

bc=√36

bc =6

Answer:

The height of the tree is 430cm

Step-by-step explanation:

Given

The attached illustration

Required

The height of the tree

Let:

[tex]h \to[/tex]  Hank's height

[tex]H \to[/tex] Tree height

[tex]d \to[/tex] distance between Hank and Mirror

[tex]D \to[/tex] distance between tree and Mirror

From the question, we have:

[tex]\angle 1 = \angle 2[/tex]

This means that:

[tex]\frac{H}{D} = \frac{h}{d}[/tex]

Make H the subject

[tex]H = \frac{h}{d} * D[/tex]

So, we have:

[tex]H = \frac{172cm}{190cm} * 475cm[/tex]

[tex]H = \frac{172* 475cm}{190}[/tex]

[tex]H = \frac{81700cm}{190}[/tex]

[tex]H = 430 cm[/tex]

Answer:

736 units squared (c)

Step-by-step explanation:

Took the quiz

Answer:

(x+1)^3=x^3+3x^2+3x+1

Answer:

[tex](x+1)^{3} = x^{3} + 3x^{2} +3x+1[/tex]

Step-by-step explanation:

[tex](x+1)^{3} = x^{3} + 3x^{2} +3x+1[/tex]

[tex](A+B)^{3} = A^{3} + 3A^{2}B+3AB^{2} + B^{3}[/tex]

Answer:

46 miles

Step-by-step explanation:

First, find the distance traveled by the person riding at 20 mph.

Multiply 20 by 2:

20(2)

= 40 miles

Find the distance traveled by the person riding at 3 mph.

Multiply 3 by 2:

3(2)

= 6 miles

Add these distances together:

40 + 6

= 46

So, the total distance is 46 miles

Answer:

46 miles

Step-by-step explanation:

Assuming both travel at a constant rate of miles per hour.

Time allowed: 2 hours.

Biker: 20 miles/hr, or (20 x 2) miles/ (2 x 1) hrs. = 40 miles/ 2 hours

Walker: 3 miles/hr or (3 x 2) miles/(2 x 1) hrs. = 6 miles/2 hours.

You are finding the total distance traveled together, and so add the two miles together:

40 + 6 = 46

46 miles in 2 hours is your answer.

~

A)they have 20 dollar's in total

b)she is left with -12 dollar's

Explanation

total money = 5 + 7 + 8

                    = 20

Money Dalila had = 7 dollars

Money she spent = 12 dollars

money she is left with = 7 - 12 dollars

                                     = -5 dollars

Answer:

7.3

Step-by-step explanation:

c- 1.3 = 6

c = 6 + 1.3

c = 7.3

nay it helped u

V(volume of pyramid) = ⅓ x V(volume of prism)

___________________________

And, to get the volume of prism, simply multiply the volume of pyramid by 3.

if volume of pyramid=12m³, then volume of prism is 36 m³.

Solution;:

V(volime of prism) = V(volume of pyramid) x 3

___________________________

Hence, there are 3 pyramids, and each pyramid has a volume of 12m³, these can exactly fit inside a prism with a volume of 36m³.

Answer:

the answer is number 4 h(x) = 1/4 x

Answer:

the  answer is 4 h(x) = 1/4 x.

Step-by-step explanation: