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4 years ago

I need help!!!!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

kherson [118]4 years ago

6 0

Answer:

29 multiple-choice questions

and 6 word problem questions

Step-by-step explanation:

let x be the number of multiple-choice questions

and y be the number of word problem questions

then:

x+y=35

2x+7y=100

x=35–y

2(35–y)+7y=100

70–2y+7y=100

70+5y=100

5y=100–70

y=30/5=6

since x+y=35

then x+6=35

then x=35–6=29

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Two of the vertices of a rectangle are (1, −6) and (−8, −6). If the rectangle has a perimeter of 26 units, what are the coordina

pantera1 [17]

Answer: $(x_1,y_1)=(1,-2)$

$(x_2,y_2)=(-8,-2)$

Step-by-step explanation:

Given

Co ordinates of vertices(1,-6) and (-8,-6)

When two points is given then Length of two points is given by

$L=\sqrt{\left ( x_2-x_1\right )^2+\left ( y_2-y_1\right )^2}$

$L=\sqrt{\left ( 1-\left ( -8\right )\right )^2+\left ( -6+6\right )^2}$

$L=\sqrt{9^2}=9 units$

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Let the other side be x

thus

$2\left ( x+9\right )=26$

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x=4 units

therefore to get the other two co ordinates

such that the length of that side is 4 units is

$(x_1,y_1)=(1,-2)$

$(x_2,y_2)=(-8,-2)$

Horizontal distance will remain same only vertical distance will change in given co ordinates to obtain the remaining two co ordinates

To verify the above two distance between two points must be 13 units

6 0

3 years ago

Erika is working on solving the exponential equation 50x = 17; however, she is not quite sure where to start. using complete sen

Kryger [21]

Erika is working on solving the exponential equation 50^x = 17; The solution is x = 0.7242.

<h3>What is logarithm?</h3>

When you raise a number with an exponent, there comes a result.

Let's say you get

a^b = c

Then, you can write 'b' in terms of 'a' and 'c' using a logarithm as follows

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Erika is working on solving the exponential equation 50^x = 17;

however, she is not quite sure where to start.

The equation is

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By taking the log both sides

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By using the base formula

$log_0 y = \dfrac{logy}{log b}$

So, $log_{50} 17= x\\\\$

$x = \dfrac{log17}{log 50}$

x = 0.7242

Learn more about logarithm here:

brainly.com/question/20835449

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2 years ago

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sasho [114]

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3 years ago