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3 years ago

Y+1=3(x – 4) 2-intercept: C y-intercept:

Mathematics

1 answer:

kiruha [24]3 years ago

4 0

Answer:

x-intercept is (13/3, 0)

y-intercept is (0,-13)

Step-by-step explanation:

change y+1 = 3(x-4) into slope-intercept form:

y+1 = 3x-12

y = 3x-13

y-intercept is (0,-13)

to get x-intercept, plug zero in for 'y' and solve for 'x':

0 = 3x-13

13 = 3x

13/3 = x

x-intercept is (13/3, 0)

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What is the area of the logo?

Ludmilka [50]

Answer:

$the \: area \: of \: the \: logo \: is \: {91cm}^{2}$

Step-by-step explanation:

To determine the area of the logo you have to calculate the area of the triangle and the square that comform it and then add the four areas.

Area of the square.

To calculate the area of the square you have to calculate the square of one of its sides, following the formula:

$a = {a}^{2}$

Where "a" is the length of one of its side.

The side length of the square is a=7cm, so its area will be:

$asquare = {7}^{2} \\ asquare = {49cm}^{2}$

Area of the triangles.

The three triangles are equal, they have a base equal to the side of the square, i.e. with a length of 7cm, and their height is h=4cm.

To calculate the area of one triangle, you have to multiply its base by its height and divide by 2, following the formula:

$a = \frac{b.h}{2} \\ a = \frac{7.4}{2} \\ a = \frac{28}{2} \\ a = {14cm}^{2}$

The area calculated the correspond to one triangle, since all triangles are congruent, you have to multiply the said area by 3 to determine the area of three figures:

$atriangles = 3a \\ atriangles = {42cm}^{2}$

Now that the area of all shape are calculated, you have to add them to determine the area of the logo:

$alogo = asquare + atriangle \\ alogo = 49 + 42 \\ alogo = {91cm}^{2}$

4 0

3 years ago

Read 2 more answers

A florist is arranging flowers in vases. There are 4 red flowers and 5 white flowers in every vase. The florist wants to make on

vichka [17]

There will be 72 flowers in total in the large arrangement.

Step-by-step explanation:

No. of red flowers in vase = 4

No. of white flowers in vase = 5

Ratio of red flowers to white flowers = 4:5

No. of red flowers in large arrangement = 32

No. of white flowers in large arrangement = w

Ratio of red flowers to white flowers = 32:w

Using proportion;

Ratio of red flowers to white flowers :: Ratio of red flowers to white flowers

$4:5::32:w$

Product of extreme = Product of mean

$4*w=32*5\\4w=160$

Dividing both sides by 4

$\frac{4w}{4}=\frac{160}{4}\\w=40$

Total flowers in large arrangement = Red flowers + white flowers

Total flowers in large arrangement = 32 + 40 =72

There will be 72 flowers in total in the large arrangement.

Keywords: ratio, proportion

Learn more about ratios at:

#LearnwithBrainly

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3 years ago

Tax is paid on meals in a restaurant.

liberstina [14]

Answer:

17.52%

Step-by-step explanation:

65.35/11.45 = 0.1752

.1752 * 100

= 17.52

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2 years ago

Multiplication of fractions<br>3/4×7/15

Pachacha [2.7K]

Answer:

$\frac{7}{20}$ or <em>0.35</em>

Step-by-step explanation:

$\frac{3}{4} * \frac{7}{20} \\3*7=21\\4*15=60\\\frac{21}{60} \\$

Now simplify.

$\frac{21}{60}$ = $\frac{7}{20}$

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2 years ago

What geometric shapes can you draw that have no pairs of parallel sides

Allushta [10]

Answer:

Step-by-step explanation:

Isosceles have no parallel sides, there lines go inward into each other.

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3 years ago

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