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3 years ago

7

juan can walk to school a distance of 1 mile, in 12 minutes . assuming he walks at a constant rate what is Juan’s constant speed

? write a linear equation in two variables to represent Juan’s constant speed.

1 answer:

Tomtit [17]3 years ago

4 0

Answer:

1 mile every 12 miniutes

Step-by-step explanation:

ratio table will help you

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Identify the values that should be written to complete the X diagram.

cestrela7 [59]

Answer:

See the attachment for what goes on your X diagram.

Rewrite: x² -7x +4x -28

Grouping: (x² -7x) +(4x -28) = x(x -7) +4(x -7) = (x +4)(x -7)

Step-by-step explanation:

The given quadratic is ...

... x² -3x -28 . . . . . a=1, b=-3, c=-28

a) The value at the top of the X diagram is the product a·c = 1·(-28) = -28.

The value at the bottom of the X diagram is the coefficient b = -3.

The values on the sides of the diagram are the factors of -28 that add up to make -3. These are -7 and 4. That is, ...

(-7)·(4) = -28

(-7)+(4) = -3

b) Since the two values on the sides of the diagram add up to give "b", the value of "b" in the equation can be rewritten as the sum of these two numbers. Doing that, we have ...

... x² -3x -28

... = x² +(-7+4)x -28

... = x² -7x +4x -28 . . . . . . order does not matter. It could also be x² +4x -7x -28

c) We can group pairs of terms in the rewritten expression and factor each pair.

... = (x² -7x) +(4x -28) . . . . . first pair has a common factor of x; second pair, 4

... = x(x -7) +4(x -7) . . . . . . . these terms now have a common factor: (x -7)

... = (x +4)(x -7) . . . . . . . . . . the complete factorization of x² -3x -28

3 0

3 years ago

A sphere has a radius of 12 inches. A second sphere has a radius of 9 inches. What is the difference of the volumes of the spher

just olya [345]

Answer:

Solution given;

for sphere

radius [r]:12inches

another

radius [R]:9inches

Now

difference in volume of sphere:

volume of sphere of having radius [r-R]

= $\frac{4}{3} πr³$ - $\frac{4}{3} πR³$

= $\frac{4}{3} π$ (12³-9³)

= 1332π cubic inches

The volume of the larger sphere is <u>___1332</u>__π cubic inches greater than the volume of the smaller sphere.

3 0

2 years ago

What is the greatest number of rìght angles that a triangle can contain?

sergiy2304 [10]

Answer:

1

Step-by-step explanation:

If there are 2 or more right angles in a triangle, it is impossible to connect without a fourth side, making it a square. There can only be 1 right angle in a triangle

5 0

3 years ago

Read 2 more answers

In circle O, chord AOB is drawn. Point C is located on the exterior of the circle with tangent CB and secant CDA drawn.Itisknown

ser-zykov [4K]

Answer:

(a) 4

(b) 2√3

(c) 60°

(d) 120°

Step-by-step explanation:

(a) The relationship between tangents and secants is ...

CB^2 = CD·CA

Filling in the given values, we find ...

CB^2 = 2·(2+6) = 16

CB = √16 = 4

The length of BC is 4 units.

__

(b) Triangle ABC is a right triangle, so the sides of it satisfy the Pythagorean theorem.

CA^2 = CB^2 +AB^2

8^2 = 16 +AB^2

AB = √48 = 4√3

The radius is half the length of AB, so the radius is 2√3.

__

(c) The measure of angle C can be determined from the cosine relation:

cos(C) = CB/CA = 4/8 = 1/2

C = arccos(1/2) = 60°

The measure of angle C is 60°.

__

(d) Arc AD is intercepted by angle ABD, which has the same measure as angle C. Hence the measure of arc AD is twice the measure of angle C.

The measure of arc AD is 120°.

3 0

2 years ago

7. Veronica is choosing between two health clubs.

vesna_86 [32]

Answer:

The total cost for each health club will be the same after 4 months.

Step-by-step explanation:

Let A = membership fee for studio A

B = membership fee for studio B

x= membership month

$A = 22 + 24.5x$

$B = 47.00 + 18.25x$

We want to when the total cost at each health studio is the same.

In other words, when A = B.

Therefore, the expression becomes

$A = B$

$22\:+\:24.5x=47.00\:+\:18.25x$

Step 1: Simplify both sides of the equation.

$24.5x+22=18.25x+47$

Step 2: Subtract 18.25x from both sides.

$24.5x+22-18.25x=18.25x+47-18.25x$

$6.25x+22=47$

Step 3: Subtract 22 from both sides.

$6.25x+22-22=47-22$

$6.25x=25$

Step 4: Divide both sides by 6.25

$\frac{6.25x}{6.25}=\frac{25}{6.25}$

$x=4$

Therefore, the total cost for each health club will be the same after 4 months.

8 0

2 years ago