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3 years ago

Factorize;

Mathematics

2 answers:

Allushta [10]3 years ago

5 0

A) 2 X 3 + 2 X 5 = 2 (3+5)
B) 5a + 5b - 5c = 5 (a+b-c)
C) ma - ab = a(m-b)

lesya [120]3 years ago

5 0

5.7081 X 10^9 so it would be the ninth power of 10

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What is the value of 3 + y ÷ 4, when y = 16?

tankabanditka [31]

Well lets do this

3 + 16 ÷ 4

we divide first

3 + 4

Addition

=7

6 0

3 years ago

The perimeter of a rectangle is found by using the formula P = 2l + 2w, where P is the perimeter, l is the length and w is the w

velikii [3]

Answer:

#1: 11 cm

#2: 16.5 in

#3: 2.5 feet

Step-by-step explanation:

$P=2l+2w$ Solve for width by substracting 2l on both sides to isolate 2w

$P-2l=2w$

$2w=P-2l$

Replace.

$2w=26-2(2)\\2w=26-4\\2w=22\\w=\frac{22}{2}\\ w=11cm$

----------------------------------------------------------------------------

$P=2l+2w$

$P=2(3.5)+2(4.75)\\P =7+9.5\\P=16.5in$

----------------------------------------------------------------------------

$P=2l+2w$

Solve for l

$2l=P-2w\\2l=7-2(1)\\2l=7-2\\2l=5\\l=\frac{5}{2}\\ l=2.5feet$

5 0

3 years ago

In 1950 the number of retirees was approximately 150 per thousand people aged 20-64. In 1990 this number rose to approximately 2

serg [7]

Answer: 233 people per thousand

Step-by-step explanation:

Using extrapolation method,

if 150/k in 1950,

200/k in 1990,

275/k in 2020,

2003 lies in between 1990 and 2020. So, you extrapolate the values of 200/k and 275/k for the years respectively.

Therefore,

(2003 - 1990)/(2020 - 2003) = (x - 200)/(275 - x)

Where x is the number of retirees per thousand for 2003

Making x the subject of relation in the above equation.

Cross multiply the equation above;

(2003 - 1990)(275-x) = (2020 - 2003)(x - 200)

13(275 - x) = 17(x-200)

3575 - 13x = 17x - 3400

Collect the like terms

3575+3400 = 17x + 13x

30x = 6975

x = 6975/30

x = 232.5

x = 233 people per thousand to the nearest integer

6 0

3 years ago

Using the given information, give the vertex form equation of each parabola.

Amanda [17]

Answer:

The equation of parabola is given by : $(x-4) = \frac{-1}{3}(y+3)^{2}$

Step-by-step explanation:

Given that vertex and focus of parabola are

Vertex: (4,-3)

Focus:( $\frac{47}{12}$ ,-3)

The general equation of parabola is given by.

$(x-h)^{2} = 4p(y-k)$ , When x-componet of focus and Vertex is same

$(x-h) = 4p(y-k)^{2}$ , When y-componet of focus and Vertex is same

where Vertex: (h,k)

and p is distance between vertex and focus

The distance between two points is given by :

L= $\sqrt{(X2-X1)^{2}+(Y2-Y1)^{2}}$

For value of p:

p= $\sqrt{(X2-X1)^{2}+(Y2-Y1)^{2}}$

p= $\sqrt{(4-\frac{47}{12})^{2}+((-3)-(-3))^{2}}$

p= $\sqrt{(\frac{1}{12})^{2}}$

p= $\frac{1}{12}$ and p= $\frac{-1}{12}$

Since, Focus is left side of the vertex,

p= $\frac{-1}{12}$ is required value

Replacing value in general equation of parabola,

Vertex: (h,k)=(4,-3)

p= $\frac{-1}{12}$

$(x-h) = 4p(y-k)^{2}$

$(x-4) = 4(\frac{-1}{12})(y+3)^{2}$

$(x-4) = \frac{-1}{3}(y+3)^{2}$

8 0

3 years ago

NEED ASAP please!!!!!

stepan [7]

I think it's 1/4 that's my answer

7 0

3 years ago

Read 2 more answers