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mamaluj [8]
4 years ago
7

Can you help me with attached 3,5,7,and 9. .......30 points. Plz answer ASAP. Show work

Mathematics
1 answer:
lorasvet [3.4K]4 years ago
8 0
3) a^2+b^2=c^2
10^2+b^2=26^2
100+b^2=676
100-100+b^2=676-100
b^2=576
√b^2=√576
b=24
The rest are in the picture.
Pardon me please. My writing may look sloppy because I'm on bus

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Sam and Annika ride their bikes to school. Sam rides his bike (K )kilometers. Annika rides her bike two less than four times as
Gekata [30.6K]
S=k, a=4k-2

Annika rides her bike so she must travel some positive distance, ie a>0 so:

4k-2>0

4k>2

k>1/2  and that k is how far Sam rode, so Sam must ride his bike more than 1/2 kilometer.
7 0
4 years ago
A parallelogram has a base of 7 meters and a height of 10 meters. What is the area of the parallelogram in square meters?​
3241004551 [841]

Step-by-step explanation:

Area of a parallelogram = H * B

Where ;H = height and B = 7

From the question our height = 10m and base = 7m

<h3>placing in formula</h3>

H * B

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Therefore the area of the parallelogram is 70m²

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3 years ago
What is the prime factorization of 140?
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3 years ago
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A certain company reported selling 5,000 toys during the month of January and expects sales to grow at a rate of 7.5% per month
Sergio [31]

Answer:

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7 0
3 years ago
Give the equation of a line that goes through the point ( − 21 , 2 ) and is perpendicular to the line 7 x − 4 y = − 12 . Give yo
nlexa [21]

Given:

Equation of line 7x-4y=-12.

To find:

The equation of line  that goes through the point ( − 21 , 2 ) and is perpendicular to the given line.

Solution:

The given equation of line can be written as

7x-4y+12=0

Slope of line is

\text{Slope}=-\dfrac{\text{Coefficient of x}}{\text{Coefficient of y}}

m_1=-\dfrac{7}{(-4)}

m_1=\dfrac{7}{4}

Product of slopes of two perpendicular lines is -1. So, slope of perpendicular line is

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m_2=-\dfrac{1}{m_1}

m_2=-\dfrac{4}{7}           [\because m_1=\dfrac{7}{4}]

Now, the slope of perpendicular line is m_2=\dfrac{4}{7} and it goes through (-21,2). So, the equation of line is

y-y_1=m_2(x-x_1)

y-2=-\dfrac{4}{7}(x-(-21))

y-2=-\dfrac{4}{7}x-\dfrac{4}{7}(21)

y-2=-\dfrac{4}{7}x-12

y=-\dfrac{4}{7}x-12+2

y=-\dfrac{4}{7}x-10

Therefore, the required equation in slope intercept form is y=-\dfrac{4}{7}x-10.

7 0
4 years ago
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