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enyata [817]
3 years ago
10

What value makes 3(a+1.5)= -1.5 true

Mathematics
1 answer:
Reika [66]3 years ago
3 0
First, write the equation:
3(a+1.5) = -1.5
Next, you can distribute 3 into the parentheses by multiplying 3 by a and 1.5. It should look like this:
3a + 4.5 = -1.5
When trying to find the value of a variable, you want to get the variable to one side of the equation by itself. Subtract 4.5 from both sides of the equation to get:
3a = -6
Now, divide both sides by 3 to get your final answer:
a= -2
The value that makes the equation true is -2
Hope this helped!
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Paha777 [63]

Answer:

12 x 2.5 = 30

Step-by-step explanation:

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3 years ago
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3 years ago
Y=-2/3x+3 please show the work thank you ;)
Ivahew [28]

Answer:

Step-by-step explanation:

Looking at y=-%282%2F3%29x%2B3 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=-2%2F3 and the y-intercept is b=3

Since b=3 this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis

So we have one point

Now since the slope is comprised of the "rise" over the "run" this means

slope=rise%2Frun

Also, because the slope is -2%2F3, this means:

rise%2Frun=-2%2F3

which shows us that the rise is -2 and the run is 3. This means that to go from point to point, we can go down 2 and over 3

So starting at , go down 2 units

and to the right 3 units to get to the next point

Now draw a line through these points to graph y=-%282%2F3%29x%2B3

So this is the graph of y=-%282%2F3%29x%2B3 through the points  and

3 0
3 years ago
The root of *<br>x^2 = 16 are<br><br>Option 1 [ +4 ]<br>+4<br>(0,4)<br>-4​
Vesnalui [34]

Answer:

The roots of the equation are

<h3>- 4 and 4</h3>

Step-by-step explanation:

First rewrite the expression

That's

x² - 16

16 = 4²

So we have

x² - 4² = 0

Using the identity

<h3>a² - b² = (a + b)(a - b)</h3>

Rewrite the expression

So we have

x² - 4² = 0 is

( x + 4)( x - 4) = 0

x + 4 = 0 x - 4 = 0

x = - 4 x = 4

The roots of the equation are

- 4 and 4

Hope this helps you

3 0
4 years ago
Given: △ABC, AB=5 square root 2 <br><br>m∠A=45°, m∠C=30°<br><br>Find: BC and AC
hichkok12 [17]

Answer:

Part a) BC=10\ units

Part b) AC=13.66\ units

Step-by-step explanation:

step 1

Find the length side BC

Applying the law of sines

we know that

\frac{AB}{sin(C)}=\frac{BC}{sin(A)}

we have

AB=5\sqrt{2}\ units

A=45^o

C=30^o

substitute

\frac{5\sqrt{2}}{sin(30^o)}=\frac{BC}{sin(45^o)}

solve for BC

BC=\frac{5\sqrt{2}}{sin(30^o)}(sin(45^o))

BC=10\ units

step 2

Find the measure of angle B

we know that

The sum of the interior angles in a triangle must be equal to 180 degrees

so

m\angle A+m\angle B+m\angle C=180^o

substitute the given values

45^o+m\angle B+30^o=180^o

75^o+m\angle B=180^o

m\angle B=180^o-75^o

m\angle B=105^o

step 3

Find the length side AC

Applying the law of sines

we know that

\frac{AB}{sin(C)}=\frac{AC}{sin(B)}

we have

AB=5\sqrt{2}\ units

A=45^o

B=105^o

substitute

\frac{5\sqrt{2}}{sin(30^o)}=\frac{AC}{sin(105^o)}

solve for AC

AC=\frac{5\sqrt{2}}{sin(30^o)}(sin(105^o))

AC=13.66\ units

4 0
3 years ago
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