What is the slope of the line and what equation represents the linear relationship?

M3L3

eduard

The area of the David's pantry = 10 square feet.

The length of the pantry = 5 feet.

<h3>Define the term area of the rectangle?</h3>

The territory inhabited by a rectangle inside its 4 sides or limits is known as its area.
The area of such a rectangle is determined by its sides. Essentially, the formula calculating area is equivalent to the product of the rectangle's length and breadth.

For the given question.

David's kitchen is 60 square feet in size.
The kitchen is six times the size of the living room.

Thus,

Area of kitchen = 6 x area of the pantry

60 = 6 x area of the pantry

area of the pantry = 60 / 6 = 10 square feet.

Area of the pantry = length x breadth

10 = length x 2

length = 10/2 = 5 feet.

Thus, the length of the pantry is found as the 5 feet.

To know more about the area of the rectangle, here

brainly.com/question/16239445

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6 0

4 months ago

Sarah answers 19 questions correctly on a test. There are 24 questions on the test. What was Sarah's score on the test

Pepsi [2]

Answer:

19 of 24

Step-by-step explanation:

in this case each question is 1 point, or a substitute variable, <em>a.</em>

7 0

2 years ago

Write a polynomial function $f$ of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.

olganol [36]

Answer:

$f(x) = x^{3} + 4x^{2} -7x^{} -10^{}$

Step-by-step explanation:

The zeros of the polynomial function are given us as -5,-1,2

If the zeros of a polynomial function are α,β,ω, the polynomial function can be obtained using the expression below:

f(x) = (x - α)(x - β)(x - ω)

where α = -5, β = -1, and ω = 2

$f(x)=(x-(-5) )(x -(-1))(x - 2) = (x+5)(x+1)(x-2)\\\\f(x)=(x+5)(x^{2} -2x + x -2) = (x+5)(x^{2} -x-2)\\\\f(x)=x(x^{2} -x-2)+5(x^{2} -x-2)\\\\f(x)= x^{3} - x^{2} -2x + 5x^{2} - 5x - 10\\\\f(x)= x^{3} + 4x^{2} -7x - 10$

<em>NB: To arrive at the answer, expand the brackets and after expansion, collect like terms to obtain the final answer</em>

4 0

2 years ago

What is the measure of WUX in Circle V ?

Alja [10]

Answer:

$arc\ WUX=120^o$

Step-by-step explanation:

<u><em>The complete question is:</em></u>

In circle V, angle WXZ measures 30°. Line segments WV, XV, ZV, and YV are radii of circle V. Circle V is shown. Line segments W V, X V, Z V, and Y V are radii. Lines are drawn from point W to point X and from point Z to point Y to form secants. Point U is on the circle between points W and X. What is the measure of Arc W U X in circle V?

The picture of the question in the attached figure

step 1

Find the measure of angle XWV

we know that

The triangle VWX is an isosceles triangle, because has two equal sides (VX=VW)

we have

$m\angle WXZ=30^o\\m\angle WXV=m\angle WXZ$

so

$m\angle WXV=30^o$

Remember that an isosceles triangle has two equal interior angles

so

step 2

Find the measure of angle WVX

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

$m\angle\ WVX+m\angle XWV+m\angle WXV=180^o$

substitute the given values

$m\angle WVX+30^o+30^o=180^o\\m\angle WVX=180^o-60^o=120^o$

step 3

Find the measure of arc WUX

we know that

$arc\ WUX=m\angle WVX$ ----> by central angle

we have

$m\angle WVX=120^o$

therefore

$arc\ WUX=120^o$

4 0

3 years ago

What is the equation of the line that passes through the point (5,0) and has a slope<br> of -1

erica [24]

Answer:

y = -x + 5

Step-by-step explanation:

X, Y, and B is given using fomula y = m(x) + b

Subsitute those variables.

0 = -(5) + b

Solve for m.

0 = -5 + b

+5 +5

b = 5.

Then plug in the b and take out the x and y.

y = -x + 5

8 0

2 years ago