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4 years ago

Write the equation of the line that passes through the given points:

Mathematics

2 answers:

grandymaker [24]4 years ago

4 0

Answer:

y = - 1/6x + 1

Step-by-step explanation:

y = mx + b

m = (-1 - (-2)) / (12 - 18) = - 1 / 6

b = -2 - (-1/6) x 18 = 1

y = - 1/6x + 1

LuckyWell [14K]4 years ago

4 0

Answer: y= -1/6x +1

We need to make an equation in slope intercept form. A model of this type of equation is: y=mx+b

Given the points, we can find the slope, which is the letter m in the model. Slope using points can be found using this equation: m= y2-y1/x2-x1

Let’s substitute the points into this equation and solve for the slope

-1- -2/12-18= 1/-6=-1/6

Let’s substitute this in for m

y=-1/6x+b

Now let’s solve for y-intercept, or the b. We’ll do this by choosing a point and substituting the y and x into the equation. This will not stay here, but will only be used while we solve for b.

-1=-1/6(12)+b

-1=-2+b
+2 +2
_____
1=b

Once we substitute this into b, out equation is complete. The equation is now y= -1/6x +1

This is your answer! Hope this helps comment below for more questions :)

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In ΔSTU, the measure of ∠U=90°, ST = 9.7 feet, and US = 4 feet. Find the measure of ∠T to the nearest degree.

pogonyaev

We have been given that in ΔSTU, the measure of ∠U=90°, ST = 9.7 feet, and US = 4 feet. We are asked to find the measure of ∠T to the nearest degree.

First of all, we will draw a right triangle using our given information.

We can see that US is opposite to angle T and ST is hypotenuse of right triangle.

We know that sine relates opposite side of right triangle to hypotenuse.

$\sin=\frac{\text{Opposite}}{\text{Hypotenuse}}$

$\sin(\angle T)=\frac{US}{ST}$

$\sin(\angle T)=\frac{4}{9.7}$

Now we will use arcsin to solve for measure of angle T as:

$\angle T=\sin^{-1}(\frac{4}{9.7})$

$\angle T=24.353873017978^{\circ}$

Upon rounding to nearest degree, we will get:

$\angle T\approx 24^{\circ}$

Therefore, the measure of angle T is approximately 24 degrees.

4 0

3 years ago

I don't know how to find the value of the missing variable

vekshin1

Answer:

whats the question your having trouble with?

5 0

4 years ago

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In circle E, AC=4, CG=6, and AH=3, Find HB and EG. If necessary, round to the tenths place.

bezimeni [28]

Using theorem about secant segments we can write,
AB*AH=AG*AC
AC=4,
CG=6
AG=AC+CG=4+6=10
AH=3
AB= AH+HB=AH+x=3+x
(3+x)*3=10*4
9+3x=40
3x=40-9
3x=31
x=31/3≈10.3
HB≈10.3
EG=HB/2 (as radius and diameter)
EG=10.3/2≈5.2

3 0

3 years ago

Which fraction expresses -30/54 in lowest terms?

Pavlova-9 [17]

-30/54 in simplest form:

First, we can start out by finding the greatest common factor (GCF) of the numerator (30) and the denominator (54). To do so, we will list the factors of each number, find the common ones and then the greatest.

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54

Look through both sets of factors. Which are the common factors? 1, 2, 3, and 6 are the common factors of 30 and 54. Now, we have the find the greatest common factor. Basically, which number has greater value out of 1, 2, 3, and 6? The GCF is 6.

Second, our last step is to divide the numerator (30) and denominator (54) by our recently found GCF which was 6. This will create a new fraction which is in simplest form.

$30 \div 6 = 5 \\ 54 \div 6 = 9$

Let's collect our new numerator and denominator and rewrite our brand new fraction in its simplest form.
$-\frac{5}{9}$

Answer in fraction form: $\fbox {-5/9}$
Answer in decimal form: $\fbox {-0.5556}$

7 0

4 years ago

How would i write five more than twice a number please use "number" as n it makes it easier

11111nata11111 [884]

I will translate

"five more than" 5+ "twice a number" 2n

5+2n is the expression

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4 years ago

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