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3 years ago

Which is the equation of a line that has a slope of -2/3 ans passes through the point (-3, -1)

Mathematics

1 answer:

kupik [55]3 years ago

5 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - $\frac{2}{3}$ , hence

y = - $\frac{2}{3}$ x + c ← is the partial equation

To find c substitute (- 3, - 1) into the partial equation

- 1 = 2 + c ⇒ c = - 1 - 2 = - 3

y = - $\frac{2}{3}$ x - 3 ← is the equation of the line

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HELP!! What is the absolute value of –1.9?

natka813 [3]

Answer:

1.9

Step-by-step explanation:

numbers in an absolute value sign are always positive.

3 0

3 years ago

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Is 4/7 bigger or smaller than 3/5

blondinia [14]

$\frac{4}{7}=\frac{4 \times 5}{7 \times 5}=\frac{20}{35} \\
\frac{3}{5}=\frac{3 \times 7}{5 \times 7}=\frac{21}{35} \\ \\
\frac{20}{35} < \frac{21}{35} \\ 
\Downarrow \\
\frac{4}{7} < \frac{3}{5}$

4/7 is smaller than 3/5.

3 0

3 years ago

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Mrs.Flores’ rectangular garden has a length of 20 meters and width of 15 meters. Her neighbor, Mr.Sosa, has a similar garden in

natima [27]

180 m

Step-by-step explanation:

Information given:

length of Mrs. Flores' garden= 20 m
width of Mrs. Flores' garden = 15 m
Scale factor = 3

Since scale factor is 3, to get measurements of sides Mr. Sosa's garden, sides of Mrs. Flores's have to be multiplied by 3. Hence,

length of Mr. Sosa's garden= 3×20= 60 m

width of Mr. Sosa's garden= 3×15= 45 m

Diagonal of a rectangle = √length²+width²

Let Diagonal = D,

D= √60²+45²

=√3600+2025

=√5625

=75 m

If Mr. Sosa cut his garden diagonally,

perimeter= length+width+diagonal

=60+45+75=180 m

7 0

3 years ago

In a local shelter, 300 people donated blood during the blood donation week. The samples collected of the different blood types

Anna007 [38]

Answer:

D)24 people

Step-by-step explanation:

Total number of people, x=300

Number of people donated blood with type A, y

$=\frac{28}{100}\times x\\=\frac{28}{100} \times 300\\=84$

Number of people donated blood with type B, z

$=\frac{20}{100}\times x\\=\frac{20}{100} \times 300\\=60$

⇒Number of people with Type A blood donated more than those with Type B blood= y-z=84-60= 24

8 0

3 years ago

Read 2 more answers

Length of the median CP

ehidna [41]

Given:

ΔABC $\sim$ ΔDEF

To find:

The length of median CP

Solution:

In ΔABC,

AP = 12, BP = 12 and PC = 3x - 12

In ΔDEF,

DQ = 16, QE = 16 and FQ = 2x + 8

If two triangles are similar, then their median is proportional to the corresponding sides.

$$\Rightarrow \frac{AP}{DQ} =\frac{PC}{FQ}$

$$\Rightarrow \frac{12}{16} =\frac{3x-12}{2x+8}$

Do cross multiplication.

$$\Rightarrow 12(2x+8)=16(3x-12)$

$$\Rightarrow 24x+96=48x-192$

Add 192 on both sides.

$$\Rightarrow 24x+96+192=48x-192+192$

$$\Rightarrow 24x+288=48x$

Subtract 24x from both sides.

$$\Rightarrow 24x+288- 24x=48x- 24x$

$$\Rightarrow 288=24x$

Divide by 24 on both sides.

⇒ 12 = x

Substitute x = 12 in CP.

CP = 3(12) - 12

= 36 - 12

= 24

The length of median CP is 24.

7 0

3 years ago